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Globally coupled maps with sequential updating

✍ Scribed by Yu Jiang; A Antillón; J Escalona

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
468 KB
Volume
262
Category
Article
ISSN
0375-9601

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✦ Synopsis

A system of globally coupled logistic maps with sequential updating is analyzed numerically. It is found that deterministic asynchronous updating schemes may have dramatic influences on the dynamical behaviors of globally coupled systems. Transitions from spatio-temporal chaos to spatially organized states are observed as the coupling parameter varies. It is shown that the model system may exhibit a variety of collective properties such as the clustering, traveling wave patterns, and spatial bifurcation cascades.

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A class of globally coupled one dimensional maps is studied. For the uncoupled one dimensional map it is possible to Ž compute the spectrum of Liapunov exponents exactly, and there is a natural equilibrium measure Sinai-Ruelle-Bowen . measure , so the corresponding 'typical' Liapunov exponent may al