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A New Scheme to Projective Synchronization of Fractional-Order Chaotic Systems |
| WANG Jun-Wei1**, CHEN Ai-Min2,3
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1School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006
2Institute of Applied Mathematics, Henan University, Kaifeng 475004
3School of Mathematics and Information Science, Henan University, Kaifeng 475004
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| Cite this article: |
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WANG Jun-Wei, CHEN Ai-Min 2010 Chin. Phys. Lett. 27 110501 |
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Abstract We demonstrate that the projective synchronization can be observed in coupled fractional-order chaotic systems. A new systematic and powerful coupling scheme is developed to investigate the projective synchronization via the open-plus-closed-loop control, which allows us to arbitrarily manipulate the scaling factor of projective synchronization. The proposed scheme is proved analytically on the basis of the stability theorem of the fractional differential equations. Numerical simulations on the fraction-order chaotic Chen system are presented to justify the theoretical analysis.
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| Keywords:
05.45.-a
05.45.Xt
05.45.Pq
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Received: 13 October 2009
Published: 22 October 2010
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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