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

DynamicPattern_P_011.jpg

Title

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

Description

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 (x<sup>1</sup> = 0.5).

Subject

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;

Relation

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.

Creator

Markus, Mario

Source

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

Contributor

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

Markus, Mario;

Date

1988

Publisher

Laupenmühlen Druck, Bochum

Rights

Format

JPEG

Type

Still Image

Citation

Markus, Mario, “M10 - Lyapunov exponent for the r-sequence as in M7, but a different detail of the A-B-plane,” History of the Belousov-Zhabotinsky Reaction, accessed March 29, 2024, https://woosterdigital.org/BZ-history/items/show/197.