M9 - Lyapunov exponent for the r-sequence AAAAAABBBBBB AAAAAABBBBBB ...

M9 - Lyapunov exponent for the r-sequence AAAAAABBBBBB AAAAAABBBBBB ...

This image depicts the Lyapunov exponent for the r-sequence AAAAAABBBBBB AAAAAABBBBBB ... In those areas where two or more branches overlap two (or more) attractors coexist. (Note such areas in the other images ofλ, too). The coexistence of attractors means, that depending on the initial condition (value of x¹) one or another attractor will be reached.

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

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

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Still Image