Work

Critical lattice size limit for synchronized chaotic state in one- and two-dimensional diffusively coupled map lattices

Year: 2007

Type: article

Abstract: We consider diffusively coupled map lattices with P neighbors (where P is arbitrary) and study the stability of the synchronized state. We show that there exists a critical lattice size beyond which the synchronized state is unstable. This generalizes earlier results for nearest neighbor coupling. We confirm the analytical results by performing numerical simulations on coupled map lattices with logistic map at each node. The above analysis is also extended to two-dimensional P -neighbor diffusively coupled map lattices.

Source: Physical Review E

DOI: 10.1103/physreve.76.027202

Authors: P. Palaniyandi, Govindan Rangarajan

Institution: Indian Institute of Science Bangalore

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Defence Research and Development Organisation

OpenAlex ID: W2097032926

FWCI: 0.952

Cites: 26

Cited by: 6

Related to: 10