M11 - Lyapunov exponent for r-sequence for ABAABBAAABBB ...

M11 - Lyapunov exponent for r-sequence for ABAABBAAABBB ...

This item depicts further representations of the Lyapunov exponent λ as a function of A and B. As λ changes from negative to positive values, color changes from black to blue, and via white back to blue. The images show that order (i.e., periodicity: λ < 0) and chaos (λ > 0) lie very close to each other in highly “fuzzy” structures. The r-sequence is ABAABBAAABBB ...

Pattern formation (Physical sciences); Physics; Visualization; Mathematics; Mathematics in art; Lyapunov exponents; Nonlinear Dynamics; Pattern Formation; Chemical Waves; Reaction Diffusion Systems; Nonlinear Waves; Traveling Waves; Chemical Oscillations; Oscillating chemical reactions;

This item is related to the images of the Lyapunov exponent δ and the image of the Belousov-Zhabotinskii cone, both of which are also found in this collection.

Markus, Mario

Dynamic Pattern Formation in Chemistry and Mathematics: Aesthetics in the Sciences: Catalogue of an Exhibition

Müller, Stefan C; Plesser, Theo; Max-Planck-Institut für Ernährungsphysiologie Dortmund, West-Germany;

Markus, Mario;

1988

Laupenmühlen Druck, Bochum

JPEG

Still Image