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SF-SIMM high-dimensional hyperchaotic map and its performance analysis

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Abstract

Derived from Sine map and an iterative chaotic map with infinite collapse (ICMIC), a new high-dimensional hyperchaotic map, sinusoidal feedback Sine ICMIC modulation map (SF-SIMM), is proposed. Two-dimensional (2D) model of SF-SIMM is investigated as an example, and its chaotic performances are evaluated. Results show that it has complicated phase space trajectory, infinite equilibrium points, hyperchaotic behaviors, rather large maximum Lyapunov exponent, three typical bifurcations and multiple coexisting attractors with odd symmetry. Furthermore, it has advantages in complexity, distribution characteristics and zero correlation and can generate two independent pseudo-random sequences simultaneously. Therefore, it has good application prospects in secure communication.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383) and the Innovation Project of Graduate of Central South University (Grant Nos. 2016zzts230).

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Authors and Affiliations

  1. School of Physics and Electronics, Central South University, Changsha, 410083, People’s Republic of China

    Wenhao Liu, Kehui Sun & Shaobo He

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  1. Wenhao Liu
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  2. Kehui Sun
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  3. Shaobo He
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Correspondence to Kehui Sun.

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Liu, W., Sun, K. & He, S. SF-SIMM high-dimensional hyperchaotic map and its performance analysis. Nonlinear Dyn 89, 2521–2532 (2017). https://doi.org/10.1007/s11071-017-3601-3

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  • DOI: https://doi.org/10.1007/s11071-017-3601-3

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