Book Covers

In this section, we are presenting book covers with images resulting from research related to the BZ reaction.

We are continuously populating this section
but if you know about a missing cover, please let us know!


Dust jacket of the conference proceedings of Oscillatory Processes in Biological and Chemical Systems in Pushchino, G. M. Frank (editor in chief) (1967)


Cover page of the book Автоволновые процессы в системах с диффузией [Avtovolnovye protsessy v sistemakh s diffuziei] (Autowave Processes in Systems with Diffusion) edited by M.T. Грехова (M.T. Grekhova), ИПФ АН СССР, Горький [IPF AN SSSR, Gor'kii] (USSR Academy of Science, Institute of Applied Physics, Gorki) 1981.


Cover page of the book Biophysics by Mikhail V. Volkenshtein, Mir Publishers (Moscow), 1983.


Cover page of the book Order out of Chaos: Man's New Dialogue with Nature  by Ilya Prigogine and Isabelle Stengers, Bantam Books, NY, 1984 first edition (ISBN-13: 978-0553343632).

Description in the book: The cover features one-, two-, three-, and four-armed vortices in an active exitable chemical medium. Courtesy of V. I. Krinsky, Institute of Biophysics, USSR Academy of Science.
Interestingly, there is no one-armed spiral shown.

Book design by Barbara N. Cohen.


Cover page of the book Simulation of wave processes in exitable media by V. Zykov, Manchester Univerity Press, 1987.


Book cover of the Jahrbuch 1987 by Generalvertetung der Max-Planck-Gesellschaft München.


Cover page of the exhibition booklet  Dynamic Pattern Formation in Chemistry and Mathematics (German Version) from 1988. The content can be explored in an exhibition in Beauty of the BZ reaction


Cover of the book La réaction créatrice: Dynamique des systèmes chimiques (Collection Enseignement des sciences) by Christian Vidal and Hervé Lemarchand, 1988.

Description in the book: Photo 6

Observation du cœur d'une spirale (illustration de couverture). Par observation sous microscope optique et traitement numérique des images, on peut reconstituer une vue en perspective et en fausses couleurs des ondes chimiques. Cette photo représente le résultat  de ce genre d'opérations appliquées au cœur d'une spirale. L'analyse montre que l'extrémité de l'onde tourne autour d'un cercle fixe, de diamètre égal à environ 30 μm.
D'après S. Müller, T. Plesser et B. Hess, Naturwissenschaften, 73 (1986) 195.


Cover of the book Structures spatiales loin de l'équilibre by Walgraef, D., (Masson) 1988. ISBN 978-2-225-81367-2.


Book cover of the Book Die neue Ordnung des Kosmos by P. Davies, C. Bertelsmann, München 1998.

The english original was released in 1987 with the titel: Cosmic Blueprint by publisher Heinemann, London.

The cover image is from S. C. Müller, T. Plesser, and B. Hess.


Book cover of the book Spatial inhomogenities and transient behaviour in chemical kinetics by P. Gray, G. Nicolis, F. Baras, P. Borckmans and S. K. Scott. 1990.


Cover page of the book Waves and patterns in chemical and biological media by Harry Swinney and Valentin Krinsky, MIT Press 1992. (MIT Press)


Cover page of the book Spatio-Temporal Organization in Nonequilibrium Systems - Contributions to the Dortmunder Dynamische Woche by Stefan C. Müller and Theo Plesser, 1992.


Cover page of the book Nonlinear chemical waves by Peter J. Ortoleva, 1992.


Cover page of the book Verknüpfungen - Chaos und Ordnung insperieren künstlerische Fotografie und Literatur, Birkäuser Verlag, 1992. 

Irmgard Hesse created the cover page with a scientific motive by Mario Markus and Benno Hess as well as a photo from Jürgen Baumann.

The image on the top is image M8 in the catalogue of the exhibition Aesthetics in the Sciences


Cover page of the book Erfolgsgeheimnisse der Natur. Synergetik: Die Lehre vom Zusammenwirken by Hermann Haken (3rd edition), Deutsche Verlags-Anstalt 1994.


Cover of the book Au-delà de l'équilibre by Vidal, C., Dewel, G., Borkmans,P.,  (Collection Enseignement des sciences) Hermann 1994. ISBN 978-2-7056-6236-3.


Cover page of the book Chemical Waves and Patterns (editors: Raymond Kapral and Kenneth Showalter), Kluver Academic Publishers 1995 (DOI).

This is Volume 10 in the Series Understanding Chemical Reactivity.

Cover drawing by Oliver Steinbock.

Cover page of the book An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos by Irving Epstein and John Pojman, Oxford University Press 1998.

This is a book in the series Topics in physical chemistry.


Cover page of the book Exploring Complexity by Grégoire Nicolis and Ilya Prigogine, W. H. Freeman, 1998.

Jacket cover image Courtesy of Stefan C. Müller, Theo Plesser, and Benno Hess, Max-Planck-Institut, Dortmund, Federal Republic of Germany.

Image description:
The spiral is a widespread structural element of patterns in nature. It also plays an important role in spatial self-organization during chemical modification of matter. The cove illustration shows the cores of several spiral waves formed during the oxidation of malonic acid in the presence of bromo-compounds (the Belousov-Zhabotinskii reaction). The three-dimensional perspective from 'below' visualizes the enveloped of deep "concentration holes" around thte rotation centers of the spirals. These concentration holes remain steady at their centers due to the interaction of diffusion and reaction. They demonstrate the singular character of the chemical processes in the core area and very closely resemble the shape of tornadoes.


Book cover of the book Im Blickpunkt: annual report 2000 by the faculty of Natural Sciences of the Otto-von-Guericke Universität Magdeburg.


Cover page of the book Self-Organized Biological Dynamics and Nonlinear Control by Jan Walleczek (editor), Cambrige University Press, 2000 (DOI).

The cover image is part of an image in Chapter 17: Control and perturbation of wave propagation in exitable systems by Oliver Steinbock and Stefan C. Müller.

Upper left: Spiral wave in the Belousov Zhabotinsky reaction. The distribution of light intensity reveals the front of oxidation cerium catalyst at λ = 344 nm as a black band moving through  a reduced solution layer of 0.7-mm thickness (bright background). Wavelength: 2.1 mm; rotation period approx. 40 s.
Upper right: Population of spirals with different rotation periods and wavelengths in the catalytic carbon monoxide oxidation on a platinum surface, visualized with photoemission electron microscopy (PEEM). Image area: 450 μm x 400 μm; rotation period of spirals with intermediate wavelength of ≈ 20 s (from Nettesheim et al., 1993).
Lower left: Spiral Ca2+-wave pattern observed in Xenopus laevis oocytes (wavelength ≈ 60 μm, period ≈ 3 s). IP3-mediated Ca2+-release is detected by confocal laser scanning microscopy (from Lechleiter and Clapham, 1992).
Lower right: Aggregation of social amoebae in the cellular slime mold Dictyostelium discoideum observed with darkfield optics. In bright areas cells moved chemotactically towards the spiral core, while in dark bands no directed cell migration is found. Wavelength ≈ 2.5 mm; rotation period ≈ 7 min (from Foerster et al., 1990).


Cover page of the book Systemische Psychologie - Eine Einführung in die komplexen Grundlagen menschlichen Verhaltens by Guido Strunk and Günter Schiepek, 2006.

ISBN 978-3-8274-3090-8 (publisher's website)


Cover page of the book Диссипативные структуры в реакционно-диффузионных системах. Эксперимент и теория [Dissipativnyye struktury v reaktsionno-diffuzionnykh sistemakh. Eksperiment i teoriya] (Dissipative structures in reaction-diffusion systems. Experiment and theory) by Ванаг В.К. (Vanag, V.K.), Издательство БФУ им. И. Канта, Калининград (IKBFU Publishing House. I. Kant, Kaliningrad) 2008.

2014 - Modern Thermodynamics From Heat Engines to Dissipative Structures - Kondepudi and Prigogine - Cover image.png

Cover page of the book Modern Thermodynamics: From Heat Engines to Dissipative Structures second edition by Kondepudi and Prigogine, John Wiley & Sons, Ltd 2014

DOI: 10.1002/9781118698723


Cover page of the book Patterns in exitable media by Sitabhra Sinha and S. Sridhar, 2015.


Cover page of the book Spirals and Vortices In Culture, Nature, and Science (Kinko Tsuji and Stefan C. Müller, eds.), Springer Verlag 2019.

DOI: 10.1007/978-3-030-05798-5

Book Covers