Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance

被引：0
|
作者：
R. L. Viana
A. M. Batista
C. A. S. Batista
K. C. Iarosz
机构：
[1] Federal University of Paraná,Department of Physics
[2] State University of Ponta Grossa,Department of Mathematics
[3] Federal University of Paraná,Center for Marine Studies
[4] University of São Paulo,Institute of Physics
[5] São Paulo,undefined
来源：
Nonlinear Dynamics | 2017年 / 87卷
关键词：
Lyapunov exponents; Coupled map lattices; Long-range coupling;
D O I：
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学科分类号：
摘要：
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.
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页码：1589 / 1601
页数：12
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