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Projective Synchronization in Modulated Time-Delayed Chaotic Systems Using an Active Control Approach |
| FENG Cun-Fang1**, WANG Ying-Hai2
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1School of Electronic and Electrical Engineering, Wuhan Textile University, Wuhan 430073
2Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
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| Cite this article: |
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FENG Cun-Fang, WANG Ying-Hai 2011 Chin. Phys. Lett. 28 120504 |
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Abstract Projective synchronization in modulated time-delayed systems is studied by applying an active control method. Based on the Lyapunov asymptotical stability theorem, the controller and sufficient condition for projective synchronization are calculated analytically. We give a general method with which we can achieve projective synchronization in modulated time-delayed chaotic systems. This method allows us to adjust the desired scaling factor arbitrarily. The effectiveness of our method is confirmed by using the famous delay-differential equations related to optical bistable or hybrid optical bistable devices. Numerical simulations fully support the analytical approach.
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| Keywords:
05.45.Xt
05.45.Jn
05.45.Pq
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Received: 15 July 2011
Published: 29 November 2011
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Jn
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(High-dimensional chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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