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Adaptive hybrid complex projective synchronization of chaotic complex system

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-12-01

Journal: TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL

Included Journals: EI、SCIE

Volume: 36

Issue: 8

Page Number: 1093-1097

ISSN: 0142-3312

Key Words: Adaptive hybrid complex projective synchronization; chaotic complex system; Lyapunov stability theory

Abstract: In this paper defines an adaptive hybrid complex projective synchronization method to synchronize two chaotic complex systems. Base on Lyapunov stability theory, the adaptive control law and parameter update law are derived to make the state of two chaotic complex systems, which are adaptive hybrid complex projective synchronized. This paper extends projective synchronization from the field of real numbers to the field of complex numbers for a chaotic complex system. Different components of the complex system synchronized to different scale complex numbers. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.

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