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Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems

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Abstract

In this paper, impulsive synchronization of drive-response complex-variable chaotic systems is investigated. The drive-response systems with known parameters is considered via impulsive control and adaptive scheme as well as systems with unknown parameters. Noticeably, adaptive strategy is adopted to relax the restriction on the impulsive interval, and the system parameters need not to be known beforehand. According to the Lyapunov stability theory, some synchronization criteria are derived and verified by several numerical simulations.

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Acknowledgements

The author would like to thank the referees and editors for their valuable comments and suggestions on improving this article. This research is supported jointly by the Tianyuan Special Funds of the NSFC under Grant No. 11226242 and the Natural Science Foundation of Jiangxi Province of China under Grants Nos. 20122BAB211006 and 20132BAB201016.

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  1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, China

    Danfeng Liu, Zhaoyan Wu & Qingling Ye

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  1. Danfeng Liu
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  2. Zhaoyan Wu
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  3. Qingling Ye
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Correspondence to Zhaoyan Wu.

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Liu, D., Wu, Z. & Ye, Q. Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems. Nonlinear Dyn 75, 209–216 (2014). https://doi.org/10.1007/s11071-013-1059-5

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