INTERESTING SYNCHRONIZATION-LIKE BEHAVIOR-Reference-Cited by-同舟云学术

INTERESTING SYNCHRONIZATION-LIKE BEHAVIOR

Published:2004-04 Issue:04 Volume:14 Page:1447-1453
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ERJAEE G. H.¹,ATABAKZADE M. H.¹,SAHA L. M.²

Affiliation:

1. Department of Mathematics, Shiraz University, Shiraz, Iran

2. Department of Mathematics, Zaker Hussian College, New Delhi, India

Abstract

We analyze the behavior of some coupled chaotic systems, which are synchronization-like. This phenomenon occurs when all conditional Lyapunov exponents of a system are not negative. Recently, Shuaiet et al. [1997] observed that synchronization can be achieved even with positive conditional Lyapunov exponents. In this paper we review this observation, and, based on this observation, we will see that not only interesting synchronization behaviors occur with positive or zero conditional Lyapunov exponents, but also these behaviors depend on different eigenvalues of the linearized system describing the evolution of the difference between the pair of chaotic systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127404009934

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