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Crisis event, hysteretic dynamics inducing coexistence of attractors and transient chaos in an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity

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Abstract

In this paper, an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity is introduced and investigated. The state equations of the proposed hyperjerk chaotic circuit are described using Kirchhoff’s laws. Some fundamental properties of the system such as symmetry, dissipation, equilibrium points and stability are examined. It is found that the system has three equilibrium points which are all unstable. By varying the parameters of the system, it is revealed from numerical simulations that the system exhibits some interesting dynamics including crisis event, hysteretic dynamics (inducing the coexistence of attractors) and transient chaos. To the best of the authors’ knowledge, the results of this work represent the first report on the phenomenon of transient chaos in a hyperjerk like-chaotic system and thus deserve dissemination. Hardware experiments are performed to support numerical simulations. The results from hardware experiments are in good agreement with numerical simulations.

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Authors and Affiliations

  1. Department of Telecommunication and Network Engineering, IUT-Fotso Victor of Bandjoun, University of Dschang, P.O. Box 134, Bandjoun, Cameroon

    V. Kamdoum Tamba & F. Kapche Tagne

  2. Research Unit of Condensed Matter, Electronics and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

    V. Kamdoum Tamba, E. R. Feudjio, J. Noumbissie Fankam & H. B. Fotsin

Authors
  1. V. Kamdoum Tamba
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  2. E. R. Feudjio
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  3. F. Kapche Tagne
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  4. J. Noumbissie Fankam
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  5. H. B. Fotsin
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Correspondence to V. Kamdoum Tamba.

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Kamdoum Tamba, V., Feudjio, E.R., Kapche Tagne, F. et al. Crisis event, hysteretic dynamics inducing coexistence of attractors and transient chaos in an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity. Eur. Phys. J. Spec. Top. 229, 1189–1210 (2020). https://doi.org/10.1140/epjst/e2020-900176-0

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  • DOI: https://doi.org/10.1140/epjst/e2020-900176-0

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