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Clustering and synchronization with positive Lyapunov exponents

✍ Scribed by R. Vilela Mendes

Book ID
104337493
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
163 KB
Volume
257
Category
Article
ISSN
0375-9601

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✦ Synopsis

Clustering and correlation effects are frequently observed in chaotic systems in situations where, because of the positivity of the Lyapunov exponents, no dimension reduction is to be expected. In this paper, using a globally coupled network of Bernoulli units, one finds a general mechanism by which strong correlations and slow structures are obtained at the synchronization edge. A structure index is defined, which diverges at the transition points. Some conclusions are drawn concerning the construction of an ergodic theory of self-organization.

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