M10 - Lyapunov exponent for the r-sequence as in M7, but a different detail of the A-B-plane

M10 - Lyapunov exponent for the r-sequence as in M7, but a different detail of the A-B-plane

Picture M10 shows a different detail of the A-B-plane for the same r-sequence as in M7. Three branches overlap slightly to the right and below the center. Five branches overlap at the center of the right margin. In these areas three and five attractors coexist, respectively. The branch covering other branches corresponds to the attractor which is reached with the particular initial value chosen here (x¹ = 0.5).

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;

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