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Analysis of a new three-dimensional system with multiple chaotic attractors

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Abstract

In this paper, a new three-dimensional autonomous system with complex dynamical behaviors is reported. This new system has three quadratic nonlinear terms and one constant term. One remarkable feature of the system is that it can generate multiple chaotic and multiple periodic attractors in a wide range of system parameters. The presence of coexisting chaotic and periodic attractors in the system is investigated. Moreover, it is easily found that the new system also can generate four-scroll chaotic attractor. Some basic dynamical behaviors of the system are investigated through theoretical analysis and numerical simulation.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China under Grants 61073026, 61074124, 61170031, 61272069 and 61272114.

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Authors and Affiliations

  1. College of Automation, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

    Zhi-Hong Guan, Qiang Lai & Ming Chi

  2. School of Information Science and Engineering, Central South University, Changsha, 430083, P.R. China

    Xin-Ming Cheng

  3. Department of Electronic Information and Mechanics, China University of Geosciences, Wuhan, 430074, P.R. China

    Feng Liu

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  1. Zhi-Hong Guan
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  2. Qiang Lai
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  3. Ming Chi
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  5. Feng Liu
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Correspondence to Zhi-Hong Guan.

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Guan, ZH., Lai, Q., Chi, M. et al. Analysis of a new three-dimensional system with multiple chaotic attractors. Nonlinear Dyn 75, 331–343 (2014). https://doi.org/10.1007/s11071-013-1069-3

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