Dynamic Properties of Coupled Maps. (15th August 2010)

• Record Type: Journal Article
• Authors: Zhang, Chunrui; Zheng, Huifeng
• Other Names: Braverman Elena Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2010(2010)
• Publication Date: 2010-08-15
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2010/905102
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, for some values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to support the theoretical predictions.