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Investigation of a Unified Chaotic System and Its Synchronization by Simulations* |
WU Qing-Chu1,2, FU Xin-Chu1, Michael Small3 |
| 1Department of Mathematics, Shanghai University, Shanghai 200444 2College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022 3Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
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WU Qing-Chu, FU Xin-Chu, Michael Small 2010 Chin. Phys. Lett. 27 060505 |
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Abstract We investigate a unified chaotic system and its synchronization including feedback synchronization and adaptive synchronization by numerical simulations. We propose a new dynamical quantity denoted by K, which connects adaptive synchronization and feedback synchronization, to analyze synchronization schemes. We find that K can estimate the smallest coupling strength for a unified chaotic system whether it is complete feedback or one-sided feedback. Based on the previous work, we also give a new dynamical method to compute the leading Lyapunov exponent.
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| Keywords:
05.45.Pq
05.45.Xt
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Received: 18 November 2009
Published: 25 May 2010
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| PACS: |
05.45.Pq
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(Numerical simulations of chaotic systems)
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05.45.Xt
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(Synchronization; coupled oscillators)
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