books in English


  • Cook, T. A., Spirals in Nature and Art (John Murray, London, 1903).


  • LeDuc, S., The Mechanism of Life (William Heinemann, 1911). [Note: English translation of the original French book].


  • Cook, T. A., The Curves of Life (Constable and Company LTD, London, 1914).


  • Thompson, D. W., On Growth and Form (Cambridge University Press, 1917) (on 
    • This seminal work by D’Arcy Thompson, first published in 1917, is one of his nearly 300 publications. But it remains until today his most remembered work.
    • Peter Medawar, the 1960 Nobel Laureate in Medicine, called it "the finest work of literature in all the annals of science that have been recorded in the English tongue".
    • Many updated editions and reprints in the next century. For example the 1945 edition with 1116 pages (on [Reprint of the first American publication in 1942] or the 1992 edition (DOI)


  • Lotka, A. J., Elements of Physical Biology (Williams & Wilkins, Baltimore, 1925). (on
    • This book was republished in 1956 as Elements of Mathematical Biology


  • Hedges, E. S. & Meyers, J. E., The Problem of Physico-Chemical Periodicity (Arnold & Co, London, 1926). (DOI)


  • D'Ancona, U., The Struggle for Existence. Geschriften van de Prof. Dr. Jan van Der Hoeven - Stichting Voor Theoretische Biologie van Dier En Mensch, Verbonden Aan de Universiteit Te Leiden. Series D. \Bibliotheca Biotheoretica", Vol. VI (Brill, Leiden, 1954).


  • Prigogine, I., Introduction to Thermodynamics of Irreversible Processes (John Wiley & Sons, New York, 1955).


  • Lotka, A. J., Elements of Mathematical Biology (Dover Publication Inc., New York, 1956). ISBN 978-0486603469
    • This is a republication of A. Lotka's 1925 book Elements of Physical Biology
    • It contains a list of Alfred Lotka's 94 publications on pages 442-447


  • Prigogine, I., Introduction to Thermodynamics of Irreversible Processes (John Wiley & Sons, New York, 1967), third edn. ISBN 978-0470699287
  • Prigogine, I., Advances in Chemical Physics, Vol. 11 (John Wiley & Sons, New York, 1967). (DOI)


  • Huntley, H. E., The Divine Proportion: A Study in Mathematical Biology (Dover Publications, Inc., New York, 1970). ISBN 978-0486222547


  • Glansdorff, P. & Prigogine, I., Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, London - New York - Sydney - Toronto, 1971). ISBN 978-0471302803


  • Chance, B., Pye, E. K., Ghosh, A. K. & Hess, B., Biological and Biochemical Oscillators (Academic Press, New York - London, 1973). (DOI)
    • Book containing all contributions to the two first conferences in 1968 in Prague, Czechoslovakia and 1969 in Hanko (Hangö), Finland.
  • Haken, H. (ed.) Synergetics - Cooperative Phenomena in Multi-Component Systems (Vieweg + Teubner Verlag, 1973) [Proceedings of the Symposium on Synergetics from April 30 to May 6, 1972, Schloß Elmau]. (DOI)
  • Pavlidis, T., Biological Oscillators: Their Mathematical Analysis (Elsevier, 1973) (DOI)



  • Haken, H. (ed.) Synergetics - A workshop (Springer Series in Synergetics, Vol. 2) (Springer-Verlag, 1977). [A Workshop. Proceedings of the International Workshop on Synergetics at Schloss Elmau, Bavaria, May 2-7, 1977]. (DOI)
  • Nicolis, G. & Prigogine, I. , Self-Organization in Nonequilibrium Systems, from Dissipative Structures to Order through Fluctuations (John Wiley & Sons, New York, 1977). ISBN 9780471024019


  • Eyring, H. & Henderson, D. W., Theoretical Chemistry: Periodicities in Chemistry and Biology, Vol. 4 (Academic Press, 1978). ISBN 978-0126819045
  • Haken, H., Synergetics - An Introduction. Nonequilibrium Phase Transitions & Self-Organisation in Physics, Chemistry & Biology (Springer Series in Synergetics, Vol. 1), (Springer-Verlag, 1978). (DOI)


  • Cook, T. A., The Curves of Life (Dover publications, 1979).[unabridged re-publication of the 1914 edition]. ISBN 978-0486237015
    • A book with many illustration of spirals in humans, animals, botany, architecture, art, and mathematics.
  • Franck, U. F. & Wicke, E., Kinetics of Physicochemical Oscillations: Discussion Meeting Held at Institut für Physikalische Chemie der Nordrhein-Westfälischen Technischen Hochschule, Aachen, September 19/22, 1979, vol. I, II, III (Deutsche Bunsengesellschaft für Physikalische Chemie, 1979).
  • Hoppensteadt, F. C.Nonlinear oscillations in biology (American Mathematical Society, 1979). ISBN 978-0-8218-1117-7
  • Pacault, A. & Vidal, C., Synergetics: Far from Equilibrium (Springer Series in Synergetics, vol. 3) (Springer-Verlag, 1979). [Proceedings of the Conference Far from Equilibrium: Instabilities and Structures, Bordeaux, France, September. 27-29, 1978]. (DOI)


  • Prigogine, I. (ed.) From Being to Becoming: Time and Complexity in the Physical Sciences (W. H. Freeman and Co., 1980). ISBN 9780716711087
  • Winfree, A. T., The Geometry of Biological Time (Springer-Verlag, 1980), Series Biomathematics - Volume 8, ISBN: 978-3-662-22492-2, (DOI)
    • Expanded second edtion in 2001


  • Haken, H. (ed.) Chaos and Order in Nature (Springer Series in Synergetics, vol. 11) (Springer-Verlag, 1981). [Proceedings of the International Symposium on Synergetics at Schloss Elmau, Bavaria, April 27 - May 2, 1981]. (DOI)
  • Vidal, C. & Pacault, A., Nonlinear Phenomena in Chemical Dynamics (Springer Series in Synergetics, vol. 12) (Springer-Verlag, 1981). [Proceedings of an International Conference, Bordeaux, France, September 7-11, 1981]. (DOI)


  • Haken, H. (ed.) Evolution of Order and Chaos - In Physics, Chemistry, and Biology (Springer Series in Synergetics, Vol 17) (Springer- Verlag, 1982). [Proceedings of the International Symposium on Synergetics at Schloss Elmau, Bavaria, April 26 - May 1, 1982]. (DOI)
  • Mandelbrot, B., The Fractal Geometry of Nature (W.H. Freeman and Company, 1982).
  • Meinhardt, H., Models of Biological Pattern Formation (Academic Press, London, 1982).
  • Sparrow, C., The Lorenz equations: Bifurcations, Chaos, and Strange Attractors (Springer, 1982) (DOI) ISBN:978-3-540-90775-6, 978-0-387-90775-8


  • Gurel, D. & Gurel, O., Oscillations in Chemical Reactions, book series Topics in Current Chemistry - Vol. 118 (Springer-Verlag, 1983). (DOI)
    • Table II lists various review articles for BL, BR, BZ, and other oscillatory chemical systems.
  • Hodgson, J. P. E.Oscillations in Mathematical Biology and Chemistry: Proceedings of a meeting held at Adelphi University, April 19, 1982 (Springer-Verlag, 1983), Series Biomathematics - Volume 51, ISBN: 978-3-540-12670-6 (DOI)
  • Kuramoto, Y., Chaos and Statistical Methods (Springer Series in Synergetics, vol. 24) (Springer- Verlag, 1983). [Proceedings of the Sixth Kyoto Summer Institute, Kyoto, Japan September 12-15, 1983]. (DOI)


  • Krinsky, V. I., Self-Organisation. Autowaves and Structures Far from Equilibrium (Springer Series in Synergetics, vol. 28) (Springer-Verlag, 1984). [Proceedings of an International Symposium. Pushchino, USSR, July 18-23, 1983]. (DOI)
  • Kuramoto, Y., Chemical Oscillations, Waves, and Turbulence (Springer Series in Synergetics, vol. 19) (Springer-Verlag, 1984). (DOI)
  • Nicolis, G. & Baras, F., Chemical Instabilities Applications in Chemistry, Engineering, Geology, and Materials Science (NATO ASI Series C, vol. 120) (Springer, 1984). [Proceedings of the NATO Advanced Research Workshop on Chemical Instabilities: Applications in Chemistry, Engineering, Geology, and Materials Science in Austin, Texas, U.S.A., March 14-18, 1983]. (DOI)
  • Prigogine, I. & Stengers, I. (eds.) Order out of Chaos (Bantam Books, 1984). ISBN 0-553-34363-7
  • Vidal, C. & Pacault, A., Non-Equilibrium Dynamics in Chemical Systems (Springer Series in Synergetics, vol. 27) (Springer-Verlag, 1984). [Proceedings of an International Conference, Bordeaux, France, September 3-7, 1984]. (DOI)


  • Field, R. J. & Burger, M., Oscillations and Traveling Waves in Chemical Systems (John Wiley & Sons, New York, 1985). ISBN 9780471893844 
    • THE early book about nonlinear chemical systems.
  • Rensing, L. & Jaeger, N. I. (eds.) Temporal Order (Springer Series in Synergetics, vol. 29) (Springer-Verlag, 1985).  (DOI) [Proceedings of a Symposium on Oscillations in Heterogeneous Chemical and Biological Systems, University of Bremen, September 17-22, 1984].


  • Babloyantz, A., Molecules, dynamics, and life: an introduction to self-organization of matter (Wiley, 1986). ISBN 978-0-471-82380-3
  • Cvitanović, P., Universality in Chaos (Adam Hilger Ltd, 1986). (DOI)
  • Hayashi, C., Nonlinear Oscillations in Physical Systems (Princeton University Press, 1986). ISBN 978-1-4008-5287-1 (DOI)
  • Hlavacek, V., Dynamics of Nonlinear Systems (Gordon and Breach science Publishers, 1986). ISBN 978-2881241116
  • Holden, A. V., Chaos (Manchester University Press, 1986). ISBN 0-691-08424-6
  • Othmer, H. G.Nonlinear Oscillations in Biology and Chemistry Proceedings of a meeting held at the University of Utah, May 9-11, 1985 (Springer-Verlag, 1986), Series Biomathematics - Volume 66, ISBN: 978-3-662-22492-2, (DOI)
  • Peitgen, H.-O. & Richter, P. H., The Beauty of Fractals (Springer-Verlag, 1986). (DOI)
  • Thompson, J. M. T. & Stewart, H. B., Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists (Wiley, Chichester [West Sussex] ; New York, 1986). ISBN 978-0-471-90960-6
    • A moderate difficult textbook with interesting content for engineering students with many pictures.
  • Winfree, A. T., The Timing of Biological Clocks (Scientific American Library, 1986). ISBN 9780716750185


  • Bergé, P., Pomeau, Y., and Vidal, Ch., Order Within Chaos: Towards a Deterministic Approach to Turbulence (Wiley, 1987). ISBN 978-0-471-84967-4
    • Introduction to the study of dissipative dynamical systems at a relatively elementary level.
  • Gleick, J., Chaos: Making a New Science (Viking-Penguin, 1987).
    • The first popular book about chaos theory. It describes, for example, Mandelbrot and Julia sets and Lorenz attractors without resorting to complex mathematics. It portrays the efforts of dozens of scientists whose separate work contributed to the developing field.
  • Vasiliev, V. A., Romanovskii, Yu. M., Chernavskii, D. S. & Yakhno, V. G., Autowave Processes in Kinetic Systems: Spatial and Temporal Self-Organization in Physics, Chemistry, Biology, and Medicine (Springer Series  in Mathematics and Its Applications, vol. 11) (Springer, 1987). (DOI) ISBN 9789400937512
  • Winfree, A. T., When Time Breaks down: The Three-Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias (Princeton University Press, Princeton, 1987). ISBN 978-0-691-02402-8
  • Zykov, V. S., Simulation of Wave Processes in Excitable Media (Manchester University Press, New York, 1987). ISBN 978-0-7190-2472-6 (translation of the 1984 Russian book)
    • THE book with good description of the basics of simulating excitation waves and an intro into the kinematic theory of wave propagation.


  • Barnsley, M. F., Fractals Everywhere (Academic Press, 1988). ISBN 0-12-079062-9
  • Devaney, R. L. & Keen, L. (eds.), Chaos and Fractals, vol. 39 of AMS Short Course Lecture Notes (American Mathematical Society, 1988). ISBN 0-8218-0137-6
  • Edelstein-Keshet, L., Mathematical Models in Biology (Random House / Birkhäuser mathematics series, New York, 1988).
  • Glass, L. & Mackey, M. C., From Clocks to Chaoas - The Rhythms of Life (Princeton University Press, Princeton, 1988). ISBN 978069108496
  • Henisch, H. K., Crystals in Gels and Liesegang Rings (Cambridge University Press, Cambridge - New York, 1988). (DOI)
  • Hess, B., Markus, M., Müller, S. C. & Plesser, T., Dynamic pattern formation in chemistry and mathemataics - Aestetics in the sciences (1988).
  • Lundquist, S., March, N. H., Tosi, Mario, P (eds.) Order and Chaos in Nonlinear Physical Systems (Springer, Boston, 1988). (DOI)
  • Markus, M., Müller, S. C. & Nicolis, G. (eds.) From Chemical to Biological Organization (Springer Series in Synergetics, vol. 39) (Springer-Verlag, 1988). ISBN 978-3-642-73688-9
  • Peitgen, H.-O. Saupe, D. (eds.) The Science of Fractal Images (Camebridge, 1988). (DOI)
  • Schuster, H. G., Deterministic Chaos: An Introduction (VCH ; Distribution, USA and Canada, VCH, Weinheim, Federal Republic of Germany : New York, NY, USA, 1988), 2nd rev. ed edn. ISBN 978-0-89573-611-6
    • An advanced book towards physicist which grew out of a series of lectures the author gave.


  • Murray, J. D., Mathematical Biology, Biomathematics Series - Volume 19 (Springer-Verlag, 1989) (DOI)
    • A second edtion was published in 1993
    • A two-volume third edition was published in 2002/2003
  • Nicolis, G. & Prigogine, I. (eds.) Exploring Complexity: An Introduction (W. H. Freeman, 1989). ISBN 9780716718604
  • Parker, T. S. & Chua, L. O., Practical Numerical Algorithms for Chaotic Systems (Springer-Verlag, 1989). (DOI)
  • Ruelle, D., Elements of Differentiable Dynamics and Bifurcation Theory (Academic Press, 1989). ISBN 978-0-12-601710-6
  • Tabor, M., Chaos and Integrability in Nonlinear Dynamics (Wiley & Sons, 1989). ISBN 0471827282
  • Toffoli, T. & Margolus, N., Cellular Automata Machines (MIT Press, 1989). (DOI)
  • Vogel, S., Cats' Paws and Catapults: Mechanical Worlds of Nature and People (W. W. Norton & Company, Inc., London, 1998).


  • Arrowsmisth, D. K. & Place, C. M., An introduction to dynamical systems (Cambridge University Press, 1990). (publisher page) ISBN 9780521316507
  • Baker, G. L. & Gollub, J. P. Chaotic Dynamics (Cambridge University Press, 1990). (DOI)
  • Gray, P., Nicolis, G., Baras, F., Borckmans, P. & Scott, S. K., Spatial Inhomogeneities and Transient Behaviour in Chemical Kinetics (Manchester University Press, 1990). ISBN 978-0-471-93497-4
  • Gray, P. & Scott, S. K., Chemical Oscillations and Instabilities: Non-Linear Chemical Kinetics (Oxford University Press, 1990). ISBN 0-19-855646-2
  • Holte, J. (ed.) Chaos: The New Science (Nobel Conference XXVI) (University Press Of America, 1990). ISBN 0-8191-8934-0
  • Lam, L. & Morris, H. C. (eds.) Wave Phenomena - Theoretical, Computational, and Practical Aspects (Springer-Verlag, 1990)[Proceedings of the First Woodward Conference, San Jose State University, June 2-3, 1988]. (DOI)
  • Lam, L. & Morris, H. C. (eds.) Nonlinear Structures in Physical Systems - Pattern Formation, Chaos, and Waves (Springer-Verlag, 1990) [Proceedings of the Second Woodward Conference, San Jose State University, November 17-18, 1989]. (DOI)
  • Mikhailov, A. S., Foundation of Synergetics I (Springer-Verlag, 1990). (DOI)
    • This book covers various nonlinear systems in biology, chemistry, and physics. The chapter on traveling waves are of special interest.
  • Rasband, S. N., Chaotic Dynamics of Nonlinear Systems (Wiley & Sons, 1990). ISBN 0471634182
  • Servos, J. W., Physical Chemistry from Ostwald to Pauling: The Making of a Science in America (Princeton University Press, 1990).


  • Holden, A. V., Markus, M. & Othmer, H. G., Nonlinear Wave Processes in Excitable Media (Plenum Press, New York - London, 1991). [NATO ASI Series; Series B: Physics Vol. 244]. (DOI)
  • Peitgen, H.-O. et al. (eds.) Fractals for the Classroom: Strategic Activities Volume One (Springer-Verlag, 1991). (DOI)


  • Abraham, R. H. & Shaw, C. D., Dynamics: The Geometry of Behavior (Addison-Wesley, 1992), second edn. ISBN 978-0201567175
  • Gaponov-Grekhov, A. V. & Rabinovich, M. I., Nonlinearities in Action - Oscillations, Chaos, Order, Fractals (Springer, 1992). (link) ISBN 978-3-540-51988-1 978-0-387-51988-3
  • Gulick, D., Encounters with Chaos (McGraw-Hill, 1992). ISBN 978-0070252035
  • Hargittai, I. & Pickover, C. A., Spiral Symmetry (World Scientific, 1992). ISBN 978-9810206154 (DOI)
    • Endre Kőrös' chapter "Oscillations, waves, and spirals in chemical systems" is a great starting point. Especially his Section 4 Waves explains nicely the difference between phase waves and trigger waves.
  • Lam, L. & Naroditsky, V. (eds.) Modeling Complex Phenomena (Springer-Verlag, 1992). [Proceedings of the Third Woodward Conference, San Jose State University, April 12-13, 1991]. (DOI)
  • Moon, F. C. Chaotic and Fractal Dynamics (J. Wiley & Sons, 1992). (DOI)
  • Müller, S. C. & Plesser, T. (eds.) Spatio-Temporal Organization in Nonequilibrium Systems - Contributions to the Dortmunder Dynamische Woche June 1992 (project verlag, 1992). ISBN 978-3928861076
  • Ortoleva, P. J., Nonlinear Chemical Waves. Nonlinear Science (J. Wiley & Sons, 1992). ISBN 978-0719028687
  • Peitgen, H.-O., Jürgens, H. & Saupe, D. (eds.) Chaos and Fractals: New Frontiers of Science (Springer-Verlag, 1992),  (DOI) Second edition in 2004.
    • A very complete book with some more detailed math components, aimed at math or physics students with a sturdy math background!
  • Peitgen, H.-O., Jürgens, H. & Saupe, D. (eds.) Fractals for the Classroom - Part One: Introduction to Fractals and Chaos (Springer-Verlag, 1992). (DOI)
  • Peitgen, H.-O., Jürgens, H. & Saupe, D. (eds.) Fractals for the Classroom - Part Two: Complex Systems and Mandelbrot Set (Springer-Verlag, 1992). (DOI)
  • Peitgen, H.-O. et al. (eds.) Fractals for the Classroom: Strategic Activities Volume Two (Springer-Verlag, 1992). (DOI)
  • Schroeder, M., Fractals, Chaos, Power Laws (W. H. Freeman and Co., 1992).
  • Waldrop, M. M., Complexity (Simon & Schuster, 1992). ISBN 978-0671872342


  • Birdi, K. S., Fractals in Chemistry, Geochemistry, and Biophysics (Plenum Press, 1993). (DOI)
  • Davis, P. J., Spirals: From Theodorus to Chaos (A K Peters, Ltd., 1993). ISBN 9781568810102
    • Description of many spirals and excerpts from Archimedes' Peri Elikon [On Spirals].
  • Field, R. J. & Györgyi, L., Chaos in Chemistry and Biochemistry (WORLD SCIENTIFIC, 1993). (DOI)
  • Fischer, R., Fibonacci Applications and Strategies for Traders: Unveiling the Secret of the Logarithmic Spiral (John Wiley & Sons, New York, 1993). ISBN 9780471585206
  • Murray, J. D., Mathematical Biology, Biomathematics Series - Volume 19 (Springer-Verlag, 1993) (DOI)
    • This is the second edition of his 1989 book.
    • A two-volume third edition was published in 2002/2003
  • Ott, E., Chaos in Dynamical Systems (Cambridge University Press, 1993). ISBN 9780521437998
  • Scott, S. K., Chemical Chaos (Oxford University Press, Oxford - New York, 1993). ISBN 978-0198556589


  • Scott, S. K., Oscillations, Waves and Chaos in Chemical Kinetics (Oxford University Press, Oxford - New York, 1994). ISBN 978-0198558446
  • Slin'ko, M. M. & Jaeger, N. I., Oscillating Heterogeneous Catalytic Systems (Studies in Surface Science and Catalysis) (Elsevier, 1994). ISBN 978-0444888914
  • Strogatz, S. H., Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in Nonlinearity) (Addison Wesley, 1994), first edn. ISBN 978-0738204536
    • This textbook is based on an introductory course in nonlinear dynamics and chaos. It is organized by chapters with exercises at the end of each chapter and solutions at the end of the book.
      There is a second edition with enhanced illustration and new student exercises, 2015


  • Barabási, A.-L. & Stanley, H. E., Fractal Concepts in Surface Growth (Cambridge University Press, 1995). (DOI)
  • Harrison, A., Fractals in Chemistry (Oxford University Press, New York, 1995). ISBN 978-0198557678
  • Kaplan, D. & Glass, L., Understanding Nonlinear Dynamics. Textbooks in Mathematical Sciences (Springer-Verlag, New York, 1995). (DOI)
    • A nice introduction to the field for undergraduate level science students, especially towards biologists.
  • Kapral, R. & Showalter, K. (eds.) Chemical Waves and Patterns (Kluwer Academic Publishers,Dordrecht - Boston - London, 1995). (DOI)
    • A pretty complete overview about the field. One of THE books about the basics of nonlinear chemical reactions.
  • Marek, M. & Schreiber, I., Chaotic behaviour of deterministic dissipative systems (Cambridge University Press, 1995). ISBN 978-0-521-43830-8, 978-0-521-32167-9
  • Nayfeh, A. H. & Balachandran, B., Applied Nonlinear Dynamics (Wiley & Son, 1995). (DOI)
  • Nicolis, G. , Introduction to Nonlinear Science (Cambridge University Press, 1995). (DOI)


  • Abarbanel, H. D. I., Analysis of Observed Chaotic Data (Springer, 1996). (DOI)
  • Bak, P., How Nature Works: The Science of Self-Organized Criticality (Springer-Verlag, 1996). (DOI)
  • Goldbeter, A., Biochemical Oscillations and Cellular Rhythms (Cambridge University Press, Cambridge, 1996).(DOI)
    • A book covering aspects of oscillating systems in various biological systems.
  • Mikhailov, A. S., Foundation of Synergetics II: Chaos and Noise (Springer-Verlag, 1996). (DOI)
  • Parisi, J., Müller, S. C. & Zimmermann, W. (eds.) Nonlinear Physics of Complex Systems (Springer-Verlag, 1996). (DOI)
  • Scheinerman, E. R. Invitation to Dynamical Systems (Prentice Hill, 1996). ISBN 0-113-185000-8 (publisher)
    • A course style approach to chaos, fractals, and dynamical systems with many examples and problems. Matlab codes and other information are available at the website as well as the solution manual for the problems.


  • Lam, L. (ed.) Introduction to Nonlinear Physics (Springer-Verlag, 1997). ISBN 978-0-387-40614-5
  • Nijhout, H. F., Nadel, L. & Stein, D. L., Pattern Formation in the Physical and Biological Sciences (Addison-Wesley Publishing Company, 1997), first edn. (DOI)
  • Turcotte, D., Fractals and chaos in geology and geophysics (Cambridge Univesity Press, 1997), second edn.(DOI)
    • A textbook for the earth sciences with many nonlinear phenomena examples.
  • Walgraef, C., Spatio-Temporal Pattern Formation (with Examples from Physics, Chemistry, and Materials Science) (Springer-Verlag, 1997). (DOI)


  • Beltrami, E. J., Mathematics for Dynamic Modeling (Academic Press, Boston, 1998), 2nd edn. ISBN 978-0-12-085566-7
    • An elementary presentation of many of the mathematical techniques useful in studying dynamics. Especially useful for a review of ordinary differential equations, stability, fixed points, and phase space representations, though focusing on the modeling aspect.
  • Busse, F. H. & Müller, S. C., Evolution of Spontaneous Structures in Dissipative Continuous Systems (Springer-Verlag, 1998). (DOI)
  • Chen, G. & Dong, X., From Chaos to Order (World Scientific, 1998). (DOI
  • Epstein, I. R. & Pojman, J. A., An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos. Topics in Physical Chemistry (Oxford University Press, New York, 1998). ISBN 978-0195096705
    • A textbook covering all aspects of chemical dissipative structres. Some information about the content etc. can be found on
  • Jensen, H. J., Self-organized criticality: emergent complex behavior in physical and biological systems (Cambridge University Press, 1998). (link) ISBN 978-0-521-48371-1
  • Lam, L, Nonlinear Physics for Beginners (World Scientific 1998). (DOI)
    • A book with a short intro into various fields of nonlinear physics and a collection of related reprints.
  • Meakin, P., Fractals, Scaling and Growth Far from Equilibrium (Cambridge University Press, 1998). ISBN: 9780521452533
  • Mori, H. & Kuramoto, Y. Dissipative Structures and Chaos (Springer, 1998). ISBN 978-3-540-62744-9. (DOI)


  • Ball, P., The Self-Made Tapestry - Pattern Formation in Nature (Oxford University Press, 1999), first edn. ISBN 0-19-850244-3
  • Müller, S. C., Parisi, J. & Zimmermann, W. (eds.) Transport and Structure - Their Competitive Roles in Biophysics and Chemistry (Springer-Verlag, 1999). ISBN-13: 978-3662142165
  • Prigogine, I. & Rice, S. A. (eds.) Advances in Chemical Physics, Volume 109 (John Wiley & Sons, New York, 1999). ISBN: 978-0-471-32920-6
  • Schuster, H. G., Handbook of Chaos Control (Wiley-VCH, Weinheim, 1999). (DOI)


  • Alligood, K. T., Sauer, T. D. & Yorke, J. A., Chaos: An Introduction to Dynamical Systems. Textbooks in Mathematical Sciences (Springer, New York, NY, 2000), corr. 3. print edn. (DOI)
    • Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra.
  • Walleczek, J., Self-Organized Biological Dynamics and Nonlinear Control (Cambridge University Press, 2000). (DOI)


  • Camazine, S. et al. Self-Organization in Biological Systems (Princeton University Press, Princeton, 2001). (link) ISBN 9780691116242
  • Goodwin, B. How the Leopard Changed Its Spots: The Evolution of Complexity (Princeton University Press, Princeton, 2001). (link) ISBN 978-0-691-21780-2
  • Hilborn, R. C., Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers (Oxford University Press, 2001), second Edn.
    • A good course book at the introductory undergraduate level, aimed more towards physicists than mathematicians with many good examples and exercises. (Publisher)
  • Pikovsky, A., Rosenblum, M., Kurths., J. (eds.) Synchronization A Universal Concept in Nonlinear Sciences (Cambridge University Press, 2001). (DOI)
  • Scott, A., Biology of Plagues - Evidence from Historical Populations (Cambridge University Press, Cambridge, 2001). ISBN 978-1107025394
  • Strogatz, S. H., Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Westview Press, 2001),
    • The second, much extended edition was published in 2015
  • Winfree, A. T., The Geometry of Biological Time (Springer-Verlag, 2001), second Edn., part of the Interdisciplinary Applied Mathematics book series - Volume 12, ISBN: 978-1-4757-3484-3, (DOI)
    • Probably Arthur Winfree's most important book.
    • This monograph was A.T. Winfree's magnum opus (Strogatz, Arthur Taylor Winfree, Physics Today 56, 74-75 (2003))


  • Beck, F., Hütt, M.-T. & Lüttge, U. (eds.) Nonlinear Dynamics and the Spatiotemporal Principles of Biology - Leopoldina Symposium (Deutsche Akademie der Naturforscher Leopoldina, Halle (Saale), 2002). ISBN 3-8047-2077-3
  • Hoppensteadt, F. C. & Peskin, C., Modeling and Simulation in Medicine and the Life Sciences (Springer, 2002). ISBN 978-0-387-95072-3 (DOI)
    • Covering a broad spectrum of biological systems with aach chapter gradually increasingin difficulty. The first parts of each chapter provides an elementary introduction to the processes and their models. MATLAB codes for each Chapter are available on Peskin's website.
  • Livio, M., The Golden Ratio (Broadway Books, 2002). ISBN 0-7679-0815-5
  • Murray, J. D., Mathematical Biology - I: An Introduction (Springer-Verlag, 2002), third edn. (DOI)
    • This two-volume book is focused on mathematical models to describe biological systems.
  • Ott, E. , Chaos in Dynamical Systems (Cambridge University Press, 2002), 2 edn. (DOI)
    • Excellent introduction to the topic at a graduate level.
  • Steward, I. , Does God Play Dice?: The New Mathematics of Chaos (Wiley-Blackwell, 2002), 2 edn. (ISBN 978-0-631-23251-3)
    • An engaging book on chaos and dynamical systems more intended towards lay reader.


  • Allman, E. S. & Rhodes, J. A., Mathematical Models in Biology - an Introduction (Cambridge University Press, 2003). (DOI)
  • Allman, E. S. & Rhodes, J. A., Mathematical Models in Biology - an Introduction (Solution Manual) (Cambridge University Press, 2003).
  • Falke, M. & Malchow, D., Understanding Calcium Dynamics: Experiments and Theory (Springer-Verlag, 2003). (DOI)
  • Hirsch, M. W., Smale, S. & Devaney, R. L., Differential Equations, Dynamical Systems, and an Introduction to Chaos (Elsevier Academic Press, 2003), second Edn. ISBN 9780080491141 
    • Nice book with many examples and exercises in three parts: 1) Linear systems of differential equations together with some first-order nonlinear equations. 2) Nonlinear (primarily 2D) systems with many applications. 3) Higher dimensional systems with emphasis on chaotic behavior not possible in planar 2D systems and the reduction to a discrete dynamical system.
  • Kuramoto, Y., Chemical Oscillations, Waves, and Turbulence (Dover Books, 2003), corrected reprint of the the 1984 book Edition.
    • A mathematically oriented book which focuses on the dynamics of dissipative many-oscillator systems, especially oscillating reaction-diffusion systems.
  • Loecher, M., Noise Sustained Patterns (World Scientific, 2003). (DOI)
  • Murray, J. D., Mathematical Biology - II. Spatial Models and Biomedical Applications, Interdisciplinary Applied Mathematics  - Volume 18 (Springer-Verlag, 2003), third edn. (DOI)
    • This two-volume book is focused on mathematical models to describe biological systems.
  • Scott, A. Nonlinear science: Emergence and dynamics of coherent structures (Oxford University Press, 2003). ISBN 9780198528524 (publisher's website)
  • Strogatz, S. H., Sync: The Emerging Science of Spontaneous Order (Hyperion, 2003). ISBN 978-0786868445


  • Manneville, P. Instabilities, chaos and turbulence: An introduction to nonlinear dynamics and complex systems (Imperial College Press, 2004). (DOI) ISBN 978-1-86094-483-3 978-1-86094-491-8
  • Manrubia, S. C., Mikhailov, A. S. & Zanette, D. H. (eds.), Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems, World Scientific Lecture Notes in Complex Systems: Volume 2 (World Scientific, 2004). (DOI) ISBN 9789812562463


  • Adamatzky, A., De Lacy Costello, B. & Asai, T., Reaction-Diffusion Computers (Elsevier, Amsterdam; Boston, 2005). (DOI)
  • Deutsch, A. & Dormann, S. (eds.) Cellular Automaton Modeling of Biological Pattern Formation - Characterization, Applications, and Analysis (Birkhäuser Boston, 2005). (DOI)
  • Scott, A. (ed.) Encyclopedia of Nonlinear Science (Routledge, Taylor & Francis Group, 2005). (DOI)


  • Feudel, U., Kuznetsov, S. & Pikovsky A., Strange Nonchaotic Attractors ( World Scientific, 2006). (DOI
  • Hoyle, R. (ed.) Pattern Formation - an Introduction to Methods (Cambridge University Press,2006). (DOI)
  • Pismen, L. M., Patterns and Interfaces in Dissipative Dynamics (Springer-Verlag, 2006). (DOI)
  • Ross, J., Igor Schreiber, I., & Vlad, M.O., Determination of Complex Reaction Mechanisms: Analysis of Chemical, Biological, and Genetic Networks (Oxford University Press, 2006). (DOI)


  • Izhikevich, W. M., Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (MIT Press, Cambridge, 2007). ISBN 9780262514200
  • Nicolis, G. & Nicolis, C., Foundations of Complex Systems: Nonlinear Dynamics, Statistical Physics, Information and Prediction (World Scientific Publishing, 2007), first edn. (DOI)
    • Collection of reverences sorted by topics.
  • Schimansky-Geier, L., Fiedler, B., Kurths, J. & Schöll, E., Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology, World Scientific Lecture Notes in Complex Systems - Vol. 5 (World Scientific Publishing, 2007). (DOI)


  • Pickover, C., Archimedes to Hawking: Laws of Science and the Great Minds behind Them (Oxford University Press, 2008).
    • Book about the history of major laws.
  • Schöll, E. & Schuster, H. G. (eds.) Handbook of Chaos Control (WILEY-VCH Verlag, Weinheim, 2008), second edn. ISBN 978-3-527-40605-0


  • Borckmans, P., de Kepper, P., Khokhlov, A. R. & Métens, S. (eds.) Chemomechanical Instabilities in Responsive Materials (Springer Science+Business Media B.V., 2009). (DOI)
    • Nice review of the field based on the proceedings of a summer school.
  • Cross, M., Greenside, H., Pattern Formation and dynamics in Nonequilibrium Systems (Cambridge University Press,Cambridge, UK, 2009). ISBN 978-0-521-77050-7
    • Introductory textbook with many examples and exercises
  • Desai, R. C. & Kapral, R., Dynamics of Self-Organized and Self-Assembled Structures (Cambridge University Press, 2009), (DOI) ISBN 9780511609725
  • Field, M. & Golubitsky, M., Symmetry in chaos: a search for pattern in mathematics, art, and nature, 2nd edition (SIAM, 2009), (DOI) ISBN 978-0-89871-672-6
    • As the title suggests, it's a mathematical description of symmetry and chaos and their appearance in pattern formation, geometric design, and art.
  • Grzybowski, B. A., Chemistry in Motion: Reaction-Diffusion Systems for Micro- and Nanotechnology (John Wiley & Sons, Ltd, Chichester, UK, 2009). (DOI)
    • A well written book with introductory chapters in 'Diffusion', 'Chemical Reactions', and 'Reaction-Diffusion Equations'. Good book to learn the mathematics behind RD systems with many examples and some computer codes.
  • Meinhardt, H., The Algorithmic Beauty of Sea Shells (Springer-Verlag, 2009), third edn. ISBN 978-3-540-92141-7
  • Mitchell, M., Complexity: A Guided Tour (Oxford University Press, New York, 2009).


  • Huys, R. & Jirsa, V. K., Nonlinear Dynamics in Human Behavior (Springer-Verlag, 2010). (DOI)
    • Nice introduction to one- and two-dimensional nonlinear systems in the first chapter.


  • Ball, P., Shapes: Nature's Patterns (Oxford University Press, 2011, reprint edition). ISBN 978-0-19-960486-9
    • Chapter 3 ``Making Waves - Stripes in a Test Tube'' covers the BZ-reaction, besides other phenomena.
  • McAllister, S., Chen, J.-Y. & Fernandez-Pello, A. C., Fundamentals of Combustion Processes (Springer-Verlag New York, 2011). ISBN 978-1-4419-7942-1
    • The book is a textbook for an upper-division undergraduate and graduate level combustion course in mechanical engineering, focusing on the fundamental theory of combustion and provides a simplified discussion of basic combustion parameters and processes such as thermodynamics, chemical kinetics, ignition, diffusion, and pre-mixed flames. The text includes applications, example exercises, suggested homework problems, and videos of laboratory demonstrations.


  • Nicolis, G. & Baras, F., Chemical Instabilities: Applications in Chemistry, Engineering, Geology, and Materials Science. Nato Science Series C: (Springer Netherlands, 2012). ISBN 978-94-009-7254-4
  • Orlik, M., Self-Organization in Electrochemical Systems I (Springer Monographs in Electrochemistry) (Springer, 2012) (DOI) ISBN 978-3-642-27672-9
  • Orlik, M., Self-Organization in Electrochemical Systems II (Springer Monographs in Electrochemistry) (Springer, 2012) (DOI) ISBN 978-3-642-27626-2
  • Samuel, N., The Islands of Benot Mandelbrot: Fractals, Chaos, and the Materiality of Thinking (Yale University Press, 2012). ISBN 978-0-300-18643-7
    • Book published in conjunction with the exhibition The Islands of Benoît Mandelbrot: Fractals, Chaos, and the Materiality of Thinking held at the Bard Graduate Center in New York, NY 2012/2013. It contains fascinating hand-drawn and computer-generated images created by Benoît Mandelbrot and puts them into an historical context.
  • Shnoll, S. E., Cosmophysical Factors in Stochastic Processes (American Research Press, Rehoboth, NM, USA, 2012). [Note: English translation of the original Russian edition of 2009. With some recent amendments containing new experimental data and analytical results].


  • Fuchs, A., Nonlinear Dynamics in Complex Systems: Theory and Applications for the Life-, Neuro- and Natural Sciences (Springer, 2013) (DOI) ISBN 978-3-642-33551-8
  • Hargittai, I., Buried Glory - Portraits of Soviet Scientists (Oxford University Press, New York, 2013). ISBN 978-0-19-998559-3
  • Kinoshita, S., Pattern Formations and Oscillatory Phenomena (Elsevier, 2013). (DOI) ISBN 978-0-12-397014-5
    • Very good resource for the theory behind the BZ-reaction (Section 1.2 and Chapter 2)
  • Mikhailov, A. S. & Ertl, G. (eds.), Engineering of Chemical Complexity, World Scientific Lecture Notes in Complex Systems: Volume 11 (World Scientific, 2013). (DOI) ISBN 978-981-4390-45-3 and 978-981-4390-46-0


  • Maor, E. & Jost, E., Beautiful Geometry (Princeton University Press, 2014). ISBN 78-0-691-15099-4
    • Book containing short descriptions of various geometrical topics.
  • Mikhailov, A. S. & Ertl, G. (eds.), Engineering of Chemical Complexity II, World Scientific Lecture Notes in Complex Systems: Volume 12 (World Scientific, 2014). (DOI) ISBN 978-981-4616-13-3
  • Sinha, S. & Sridhar, S., Patterns in Excitable Media: Genesis, Dynamics, and Control (CRC Press, 2014). ISBN 978-1-4665-5283-8
    • Part I gives a very nice introduction to excitable media across many research areas.
  • Wei, J. & Winter, M., Mathematical Aspects of Pattern Formation in Biological Systems (Springer Series in Applied Mathematical Sciences, Volume 189) (Springer, 2014). (DOI). ISBN 978-1-4471-5525-6 978-1-4471-5526-3


  • Layek, G. C. , An Introduction to Dynamical Systems and Chaos (Springer India, 2015). (DOI)
    • A very mathematical approach to the field, including excercises at the end of each chapter.
  • Meron, E. , Nonlinear Physics of Ecosystems (CRC Press, 2015). ISBN 978-1-4398-2631-7
  • Sayami, H., Introduction to the Modeling and Analysis of Complex Systems (Open SUNY Textbook, 2015). ISBN 978-1-942341-09-3
    • Open Textbook with Python codes and solution appendix for selected problems.
  • Strogatz, S. H., Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in Nonlinearity) (Westview Press, 2015), second edn. ISBN 978-0-8133-4910-7 (on
    • A student solutions manual (odd problems) has been published by Dichter M., ISBN: 978-0-8133-5054-7


  • Ball, P., Patterns in Nature (The University of Chicago Press, 2016), reprint edn. ISBN 978-0-226-33242-0


  • Adamatzky, A. (ed.) Advances in Unconventional Computing - Volume 1: Theory (Springer International Publishing, Cham, 2017). (DOI)
  • Adamatzky, A. (ed.) Advances in Unconventional Computing - Volume 2: Prototypes, Models and Algorithms (Springer International Publishing, Cham, 2017). (DOI)
  • Charbonneau, P. Natural Complexity: A Modeling Handbook (Princeton Univeristy Press, 2017). Book in the series "Primers in Complex Systems" (DOI) (ISBN 9780691170350 )
    • A hands-on introduction book for undergraduate students using simple computational models with Python code examples from physics, chemistry, geology, and biology.
  • Mikhailov, A. S. & Ertl, G., Chemical Complexity (Springer International Publishing, Cham, 2017). (DOI)
    • Contains several review articles, e.g., Self-organized Stationary Structures, Chemical Oscillations, Propagating Waves, or The Belousov-Zhabotinsky Reaction.


  • Adamatzky, A. (ed.) Unconventional Computing (Springer New York, 2018). (DOI)
  • Davidovitz, P. Physics in Biology and Medicine (5th edition) (Academic Press, 2018). (link) ISBN 9780128137161
    • Provides practical information and techniques for applying knowledge of physics (mechanics, fluids, heat, electricity, optics, and atomic/nuclear physics) to the study of living systems without any prior knowledge of the fields. Includes many figures, examples, illustrative problems and appendices. With instructor solutions manual
  • Gentili, P. L., Untangling Complex Systems: A Grand Challenge for Science (CRC Press, 2018). ISBN 978-1-4665-0942-9
    • A really good interdisciplinary science textbook with detailed explanations of various systems and models. It includes short historical views on each.
  • Stefan C. Müller, Peter J. Plath, Günter Radons, Armin Fuchs (Eds.) Complexity and Synergetics (Springer, 2018). (link) ISBN 978-3-319-64333-5
  • Thurner, S., Hanel, R. A., & Klimek, P., Introduction to the theory of complex systems (Oxford University Press, 2018). (link) ISBN 978-0-19-882193-9


  • Letellier, C., Chaos in Nature.(World Scientific Publishing Co, 2019). Volume 94 in the series "Nonlinear Science Series A" (DOI) ISBN: 978-3-030-44304-7
  • Tsuji, K. & Müller, S. C. (eds.) Spirals and Vortices: In Culture, Nature, and Science. The Frontiers Collection (Springer International Publishing, 2019). (DOI)
  • Feldman, D. J. Chaos and Dynamical Systems (Princeton Univeristy Press, 2019). Volume 14 in the series "Primers in Complex Systems" (DOI) (ISBN 9780691161525)
    • A nice book using mathematics at a minimal level, just to get an understanding of dynmical systems but beyond simple 'popular book' explanations.


  • Rössler, O. E. & Letellier, C. (eds.) Chaos - The World of Nonperiodic Oscillations. (Springer International Publishing, 2020). Volume 136 in the series "Understanding Complex Systems" (DOI) ISBN: 978-3-030-44304-7


  • Peter J. Plath , Ernst-Christoph Haß , Hartmut Linde (eds.) Imagery Synergetics (Springer International Publishing, 2022). Part of the series "Understanding Complex Systems" (DOI) ISBN: 978-3-319-64333-5