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A new oscillator with infinite coexisting asymmetric attractors

Author

Listed:
  • Wang, Zhen
  • Abdolmohammadi, Hamid Reza
  • Alsaadi, Fawaz E.
  • Hayat, Tasawar
  • Pham, Viet-Thanh

Abstract

In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.

Suggested Citation

  • Wang, Zhen & Abdolmohammadi, Hamid Reza & Alsaadi, Fawaz E. & Hayat, Tasawar & Pham, Viet-Thanh, 2018. "A new oscillator with infinite coexisting asymmetric attractors," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 252-258.
    • Handle: RePEc:eee:chsofr:v:110:y:2018:i:c:p:252-258
    DOI: 10.1016/j.chaos.2018.03.031
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    References listed on IDEAS

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    1. Bao, B.C. & Bao, H. & Wang, N. & Chen, M. & Xu, Q., 2017. "Hidden extreme multistability in memristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 102-111.
    2. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
    3. Borah, Manashita & Roy, Binoy K., 2017. "An enhanced multi-wing fractional-order chaotic system with coexisting attractors and switching hybrid synchronisation with its nonautonomous counterpart," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 372-386.
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    Cited by:

    1. Leutcho, Gervais Dolvis & Jafari, Sajad & Hamarash, Ibrahim Ismael & Kengne, Jacques & Tabekoueng Njitacke, Zeric & Hussain, Iqtadar, 2020. "A new megastable nonlinear oscillator with infinite attractors," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Azhdari, Meysam & Binazadeh, Tahereh, 2022. "A novel adaptive SMC strategy for sustained oscillations in nonlinear sandwich systems based on stable limit cycle approach," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Karthikeyan Rajagopal & Yesgat Admassu & Riessom Weldegiorgis & Prakash Duraisamy & Anitha Karthikeyan, 2019. "Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow," Complexity, Hindawi, vol. 2019, pages 1-10, October.
    4. Mo Chen & Yang Feng & Han Bao & Bocheng Bao & Huagan Wu & Quan Xu, 2019. "Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity," Complexity, Hindawi, vol. 2019, pages 1-16, June.

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