Nonlinear Dynamics

, Volume 62, Issue 1, pp 453–459

Projective synchronization between two different time-delayed chaotic systems using active control approach

Original Paper

DOI: 10.1007/s11071-010-9733-3

Cite this article as:
Feng, CF. Nonlinear Dyn (2010) 62: 453. doi:10.1007/s11071-010-9733-3
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Abstract

In this paper, we investigate the projective synchronization between two different time-delayed chaotic systems. A suitable controller is chosen using the active control approach. We relax some limitations of previous work, where projective synchronization of different chaotic systems can be achieved only in finite dimensional chaotic systems, so we can achieve projective synchronization of different chaotic systems in infinite dimensional chaotic systems. Based on the Lyapunov stability theory, we suggest a generic method to achieve the projective synchronization between two different time-delayed chaotic systems. The validity of the proposed method is demonstrated and verified by observing the projective synchronization between two well-known time-delayed chaotic systems; the Ikeda system and Mackey–Glass system. Numerical simulations fully support the analytical approach.

Keywords

Projective synchronization Time-delayed chaotic system Active control approach 

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.College of ScienceWuhan University of Science and EngineeringWuhanChina

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