Abstract
This brief proposes a chaotification algorithm for a kind of nonlinear discrete-time systems. A time-varying impulsive approach to generating chaos in n-dimensional discrete system is described in detail, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, thereby yielding chaotic dynamics. Numerical simulations are presented to show the effectiveness of the theoretical results.
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Acknowledgments
This research was partially funded by China Postdoctoral Science Foundation (Grant No. 2014M562026); The Fundamental Research Funds for the Central Universities projects (Grant No. 31541511301); National Natural Science Foundation of Hubei, China (Grant No. 2013CFC090); the Fundamental Research Funds for the Central Universities, Zhongnan University of Economics and Law (Grant No. 2012096).
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Wang, Q., Xiong, W., Deng, Y.S. (2015). Time-Varying Impulsive Anticontrol of Discrete-Time System. In: Niu, W., et al. Applications and Techniques in Information Security. ATIS 2015. Communications in Computer and Information Science, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48683-2_29
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DOI: https://doi.org/10.1007/978-3-662-48683-2_29
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