Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller

ZHANG Wei-wei; WU Ran-chao

doi:10.21656/1000-0887.360356

Volume 37 Issue 7

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ZHANG Wei-wei, WU Ran-chao. Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller[J]. Applied Mathematics and Mechanics, 2016, 37(7): 710-717. doi: 10.21656/1000-0887.360356

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Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller

doi: 10.21656/1000-0887.360356

ZHANG Wei-wei¹,
WU Ran-chao²

¹School of Mathematics & Computation Science, Anqing Normal University, Anqing, Anhui 246133, P.R.China;²School of Mathematical Sciences, Anhui University, Hefei 230039, P.R.China

Funds: The National Natural Science Foundation of China(11571016)

Received Date: 2015-12-29
Rev Recd Date: 2016-01-24
Publish Date: 2016-07-15

Abstract

Abstract

The dual synchronization of fractional-order chaotic systems is a new method of synchronization. There was few study on the dual projective synchronization of fractional-order chaotic systems. With a linear signal, the dual projective synchronization of fractional-order chaotic systems was investigated. Based on the stability theory of the fractional-order systems, a general method was proposed. Furthermore, the work extends the previous research of dual synchronization. Finally, the dual projective synchronizations of the fractional-order Van der Pol system and the fractional-order Willis system were numerically simulated. The corresponding results show the effectiveness of the present method.
- dual projective synchronization,
- fractional order,
- chaotic system,
- linear

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