M14 - Lyapunov exponent λ for the r-sequence AABABAB AABABAB...

DynamicPattern_P_015.jpg

Title

M14 - Lyapunov exponent λ for the r-sequence AABABAB AABABAB...

Description

Lyapunov exponent λ for the r-sequence AABABAB AABABAB ...
When λ increases from negative values to zero, color changes from black to yellow. Positive λ (chaos) are shown in blue. The dark curves within the yellow areas represent particularly stable (“superstable”) periodical processes. (Note the superstable curves in pictures M5 through M13). Superstable periodicity provides the internal clock of biological organisms with a useful insensibility against perturbations. It is interesting to note the recurring “motif” of picture M5 (top right in M14), now appearing twice and with three overlapping branches (coexistence of three attractors). Close to the center at the right margin, seven branches overlap (coexistence of seven attractors).

Subject

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

Relation

M0 - Composition of M14 and C8

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

Language

eng

Citation

Markus, Mario, “M14 - Lyapunov exponent λ for the r-sequence AABABAB AABABAB...,” History of the Belousov-Zhabotinsky Reaction, accessed December 6, 2022, http://woosterdigital.org/BZ-history/items/show/201.