On estimates of Lyapunov exponents of synchronized coupled systems

Tianshou Zhou; Guanrong Chen; Qishao Lu; Xiaohua Xiong

doi:10.1063/1.2336414

On estimates of Lyapunov exponents of synchronized coupled systems

Chaos. 2006 Sep;16(3):033123. doi: 10.1063/1.2336414.

Authors

Tianshou Zhou¹, Guanrong Chen, Qishao Lu, Xiaohua Xiong

Affiliation

¹ Department of Mathematics, Zhongshan University, Guangzhou 510275, People's Republic of China.

PMID: 17014228
DOI: 10.1063/1.2336414

Abstract

Lyapunov exponents of a synchronized coupled system consist of those of the underlying individual systems and the transverse systems, based on a mode decomposition along the synchronization manifold. Estimates of bounds on the Lyapunov exponents (including transverse Lyapunov exponents) are derived. Several examples are used to validate the theoretical estimates.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms
Mathematics
Models, Statistical
Models, Theoretical
Nonlinear Dynamics*
Systems Theory*