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Dynamic analysis and synchronisation control of a novel chaotic system with coexisting attractors

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Abstract

In this paper, a novel four-dimensional continuous chaotic system is constructed from the simplified Lorenz-like system. The novel system has three equilibria, strange attractors, coexisting attractors, and performs Hopf bifurcation with the variation of system parameters. The coexisting attractors, which are the most remarkable dynamic features of the system, are numerically studied. The coexisting attractors show that the system coexists as a pair of point, periodic, and chaotic attractors. Some basic dynamic behaviours are studied as well. The synchronisation control problem of the system is analysed. The theoretical and numerical analyses demonstrate that the system can easily achieve synchronisation by using the passive control technique.

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410083, China

    CHENGQUN ZHOU, CHUNHUA YANG, DEGANG XU & CHAOYANG CHEN

  2. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China

    CHAOYANG CHEN

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  1. CHENGQUN ZHOU
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  2. CHUNHUA YANG
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  3. DEGANG XU
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  4. CHAOYANG CHEN
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Correspondence to CHAOYANG CHEN.

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ZHOU, C., YANG, C., XU, D. et al. Dynamic analysis and synchronisation control of a novel chaotic system with coexisting attractors. Pramana - J Phys 94, 19 (2020). https://doi.org/10.1007/s12043-019-1891-3

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  • DOI: https://doi.org/10.1007/s12043-019-1891-3

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