The dynamics of a symmetric coupling of three modified quadratic maps  

作　　者：Paulo C. Rech 

机构地区：[1]Departamento de Física, Universidade do Estado de Santa Catarina,89219-710 Joinville, Brazil

出　　处：《Chinese Physics B》2013年第8期233-237,共5页中国物理B（英文版）

基　　金：supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico-CNPq,Brazil

摘　　要：We investigate the dynamical behavior of a symmetric linear coupling of three quadratic maps with exponential terms, and identify various interesting features as a function of two control parameters. In particular, we investigate the emergence of quasiperiodic states arising from Naimark-Sacker bifurcations of stable period-l, period-2, and period-3 orbits. We also investigate the multistability in the same coupling. Lyapunov exponents, parameter planes, phase space portraits, and bifurcation diagrams are used to investigate transitions from periodic to quasiperiodic states, from quasiperiodic to mode-locked states and to chaotic states, and from chaotic to hyperchaotic states.We investigate the dynamical behavior of a symmetric linear coupling of three quadratic maps with exponential terms, and identify various interesting features as a function of two control parameters. In particular, we investigate the emergence of quasiperiodic states arising from Naimark-Sacker bifurcations of stable period-l, period-2, and period-3 orbits. We also investigate the multistability in the same coupling. Lyapunov exponents, parameter planes, phase space portraits, and bifurcation diagrams are used to investigate transitions from periodic to quasiperiodic states, from quasiperiodic to mode-locked states and to chaotic states, and from chaotic to hyperchaotic states.

关 键 词：Naimark-Sacker bifurcation QUASIPERIODICITY CHAOS HYPERCHAOS 

分 类 号：O415.5[理学—理论物理] V212[理学—物理]