Pinto S E de S, Caldas I L, Batista A M, Lopes S R, Viana R L
Universidade de São Paulo, 05315-970, São Paulo, SP, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jul;76(1 Pt 2):017202. doi: 10.1103/PhysRevE.76.017202. Epub 2007 Jul 11.
A lattice of coupled chaotic dynamical systems may exhibit a completely synchronized state, which defines a low-dimensional invariant manifold in phase space. However, the high dimensionality of the latter typically yields a complex dynamics with many features like chaos suppression, quasiperiodicity, multistability, and intermittency. Such phenomena are described by considering the transversal dynamics to the synchronization manifold for a coupled logistic map lattice with a long-range coupling prescription.
耦合混沌动力系统的晶格可能会呈现出完全同步状态,该状态在相空间中定义了一个低维不变流形。然而,后者的高维性通常会产生具有许多特征的复杂动力学,如混沌抑制、准周期性、多稳定性和间歇性。通过考虑具有长程耦合规则的耦合逻辑斯谛映射晶格的同步流形的横向动力学来描述此类现象。