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A new transiently chaotic flow with ellipsoid equilibria

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Abstract

In this article, a simple autonomous transiently chaotic flow with cubic nonlinearities is proposed. This system represents some unusual features such as having a surface of equilibria. We shall describe some dynamical properties and behaviours of this system in terms of eigenvalue structures, bifurcation diagrams, time series, and phase portraits. Various behaviours of this system such as periodic and transiently chaotic dynamics can be shown by setting special parameters in proper values. Our system belongs to a newly introduced category of transiently chaotic systems: systems with hidden attractors. Transiently chaotic behaviour of our proposed system has been implemented and tested by the OrCAD-PSpise software. We have found a proper qualitative similarity between circuit and simulation results.

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Acknowledgements

The authors would like to thank Professor J C Sprott for help and comments which enhanced the quality of this paper. Sajad Jafari, Shirin Panahi, and Zainab Aram were supported by Iran National Science Foundation (No. 96000815).

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Authors and Affiliations

  1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran, 15875-4413, Iran

    Shirin Panahi, Zainab Aram & Sajad Jafari

  2. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

    Viet-Thanh Pham

  3. Physics Department, Aristotle University of Thessaloniki, 54124 , Thessaloníki, Greece

    Christos Volos

  4. Center for Nonlinear Dynamics, Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New Guinea

    Karthikeyan Rajagopal

  5. Centre for Non-Linear Dynamics, Defense University, Bishoftu, Ethiopia

    Karthikeyan Rajagopal

Authors
  1. Shirin Panahi
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  2. Zainab Aram
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  3. Sajad Jafari
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  4. Viet-Thanh Pham
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  5. Christos Volos
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  6. Karthikeyan Rajagopal
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Corresponding author

Correspondence to Sajad Jafari.

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Panahi, S., Aram, Z., Jafari, S. et al. A new transiently chaotic flow with ellipsoid equilibria. Pramana - J Phys 90, 31 (2018). https://doi.org/10.1007/s12043-018-1524-2

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  • DOI: https://doi.org/10.1007/s12043-018-1524-2

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