Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance
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- 作者：R. L. Viana ; A. M. Batista ; C. A. S. Batista ; K. C. Iarosz
- 关键词：Lyapunov exponents ; Coupled map lattices ; Long ; range coupling
- 刊名：Nonlinear Dynamics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：87
- 期：3
- 页码：1589-1601
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
- 出版者：Springer Netherlands
- ISSN：1573-269X
- 卷排序：87
文摘
We investigate analytically and numerically coupled lattices of chaotic maps where the interaction is non-local, i.e., each site is coupled to all the other sites but the interaction strength decreases exponentially with the lattice distance. This kind of coupling models an assembly of pointlike chaotic oscillators in which the coupling is mediated by a rapidly diffusing chemical substance. We consider a case of a lattice of Bernoulli maps, for which the Lyapunov spectrum can be analytically computed and also the completely synchronized state of chaotic Ulam maps, for which we derive analytically the Lyapunov spectrum.