Chaos Control and Hybrid Projective Synchronization of a Novel Chaotic System

Author:

Wang Tao12,Wang Kejun2,Jia Nuo12

Affiliation:

1. College of Mathematics Science, Harbin Normal University, Harbin 150025, China

2. College of Automation, Harbin Engineering University, Harbin 150001, China

Abstract

Adaptive feedback controllers based on Lyapunov's direct method for chaos control and hybrid projective synchronization (HPS) of a novel 3D chaotic system are proposed. Especially, the controller can be simplified ulteriorly into a single scalar one to achieve complete synchronization. The HPS between two nearly identical chaotic systems with unknown parameters is also studied, and adaptive parameter update laws are developed. Numerical simulations are demonstrated to verify the effectiveness of the control strategies.

Funder

Scientific Research Fund of Heilongjiang Provincial Education Department of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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