International Journal of Computational and Applied Mathematics
  • Year: 2010
  • Volume: 5
  • Issue: 2

Synchronization of an Optical Hyper-Chaotic System

  • Author:
  • R. Suresh1, V. Sundarapandian2
  • Total Page Count: 9
  • Page Number: 199 to 207

1Department of Mathematics, Vel Tech Multi Tech Dr.Rangarajan Dr.Sakunthala Engineering College Avadi,Chennai -600062, Tamilnadu, India.

2Department of Mathematics, Vel Tech Dr.RR & Dr.SR Technical University Avadi,Chennai -600062, Tamilnadu, India.

2000 AMS Subject Classifcation: 65P20,65P40,65P99,34A34.

Abstract

The asymptotic stability of optical-hyper chaotic synchronization is analyzed. In this paper by utilizing the Lyapunov stability theory, a non-autonomous hyperchaotic synchronization system is designed, which ensures that the synchronization error of an optical hyper-chaotic system is asymptotically stable. In addition, an example is provided to illustrate the applicability of the synchronization result.

Keywords

Asymptotic stability, Hyper-chaotic synchronization, Lyapunov functional