M14 - Lyapunov exponent λ for the r-sequence AABABAB AABABAB...
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).
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;
Markus, Mario;
Date
1988
Publisher
Laupenmühlen Druck, Bochum
Rights
Format
JPEG
Type
Still Image
Language
eng
Collection
Citation
Markus, Mario, “M14 - Lyapunov exponent λ for the r-sequence AABABAB AABABAB...,” History of the Belousov-Zhabotinsky Reaction, accessed June 3, 2023, http://woosterdigital.org/BZ-history/items/show/201.