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A chaotic jerk system with non-hyperbolic equilibrium: Dynamics, effect of time delay and circuit realisation

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Abstract

The literature on chaos has highlighted several chaotic systems with special features. In this work, a novel chaotic jerk system with non-hyperbolic equilibrium is proposed. The dynamics of this new system is revealed through equilibrium analysis, phase portrait, bifurcation diagram and Lyapunov exponents. In addition, we investigate the time-delay effects on the proposed system. Realisation of such a system is presented to verify its feasibility.

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Authors and Affiliations

  1. Center for Nonlinear Dynamics, College of Engineering, Defence University, Bishoftu, Ethiopia

    Karthikeyan Rajagopal

  2. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Viet-Thanh Pham

  3. Electrical Engineering Department, University of Basrah, Basra, Iraq

    Fadhil Rahma Tahir

  4. Department of Electrical and Electronic Engineering, Faculty of Technology, Sakarya University, Adapazarı, Turkey

    Akif Akgul

  5. Department of Electrical Engineering, Golpayegan University of Technology, Golpayegan, Iran

    Hamid Reza Abdolmohammadi

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

    Sajad Jafari

Authors
  1. Karthikeyan Rajagopal
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  2. Viet-Thanh Pham
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  3. Fadhil Rahma Tahir
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  4. Akif Akgul
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  5. Hamid Reza Abdolmohammadi
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  6. Sajad Jafari
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Correspondence to Viet-Thanh Pham.

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Rajagopal, K., Pham, VT., Tahir, F.R. et al. A chaotic jerk system with non-hyperbolic equilibrium: Dynamics, effect of time delay and circuit realisation. Pramana - J Phys 90, 52 (2018). https://doi.org/10.1007/s12043-018-1545-x

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  • DOI: https://doi.org/10.1007/s12043-018-1545-x

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