title: Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices.
abstract: We analyze the size limits of coupled map lattices with diffusive coupling at the crossover of low-dimensional to high-dimensional chaos. We investigate the existence of standing-wave-type periodic patterns, within the low-dimensional limit, in addition to the stable synchronous chaotic states depending upon the initial conditions. Further, we bring out a controlling mechanism to explain the emergence of standing-wave patterns in the coupled map lattices. Finally, we give an analytic expression in terms of the unstable periodic orbits of the isolated map to represent the standing-wave patterns.
authors.affiliation: Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirapalli 620 024, India.
authors.forename: P
authors.initials: P
authors.lastname: Palaniyandi
authors.forename: P
authors.initials: P
authors.lastname: Muruganandam
authors.forename: M
authors.initials: M
authors.lastname: Lakshmanan
mesh_terms: D000222:Adaptation, Physiological / Q000502:physiology*; D000465:Algorithms; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*