A new three-dimensional chaotic system and its modified generalized projective synchronization |
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Authors: | Dai Hao Jia Li-Xin Hui Meng and Si Gang-Quan |
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Affiliation: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract: | Based on the Chen chaotic system, this paper constructs a new three-dimensional chaotic system with higher order nonlinear term and studies the basic dynamic behaviours of the system. The modified generalized projective synchronization has been observed in the coupled new three-dimensional chaotic system with unknown parameters. Furthermore, based on Lyapunov stability theory, it obtains the control laws and adaptive laws of parameters to make modified generalized projective synchronization of the coupled new three-dimensional chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method. |
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Keywords: | chaotic system generalized projective synchronization Lyapunov stability theory |
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