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Dynamics of a new hyperchaotic system and multistability

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Abstract

In this paper, a new 4D hyperchaotic system is proposed. By boosting a trigonometric function into a single variable, the system produces different multistable regions. Bifurcation diagrams and cross-section of basins can quantify the presence of coexisting attractors. Furthermore, a nonlinear controller is implemented, which can shift the coexisting attractor in the negative region in the phase space and merge it to the positive region, for a threshold value of the control parameter. It has also been noticed that complexity increases with the addition of the nonlinear controller, when the coexisting attractors shift to the positive region in the phase space.

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Author information

Authors and Affiliations

  1. Faculty of Defence Science and Technology, Universiti Pertahanan Nasional Malaysia, Sungai Besi, Malaysia

    M. F. Abdul Rahim

  2. Information Technology College, Department of Communications Technologies Engineering, Imam Ja’afar Al-Sadiq University, Baghdad, Iraq

    Hayder Natiq

  3. Centre for Defence Foundation Studies, Universiti Pertahanan Nasional Malaysia, Sungai Besi, Malaysia

    N. A. A. Fataf

  4. Cyber Security Centre, Universiti Pertahanan Nasional Malaysia, Sungai Besi, Malaysia

    N. A. A. Fataf

  5. Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia

    Santo Banerjee

  6. Malaysia-Italy Centre of Excellence for Mathematical Science, University Putra Malaysia, Serdang, Malaysia

    Santo Banerjee

Authors
  1. M. F. Abdul Rahim
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  2. Hayder Natiq
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  3. N. A. A. Fataf
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  4. Santo Banerjee
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Correspondence to Santo Banerjee.

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Abdul Rahim, M.F., Natiq, H., Fataf, N.A.A. et al. Dynamics of a new hyperchaotic system and multistability. Eur. Phys. J. Plus 134, 499 (2019). https://doi.org/10.1140/epjp/i2019-13005-5

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  • DOI: https://doi.org/10.1140/epjp/i2019-13005-5

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