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A New Megastable Chaotic Oscillator with Blinking Oscillation terms

Author

Listed:
  • Dhinakaran Veeman
  • Hayder Natiq
  • Nadia M. G. Al-Saidi
  • Karthikeyan Rajagopal
  • Sajad Jafari
  • Iqtadar Hussain
  • Jorge-Antonio Lopez-Renteria

Abstract

Recently, megastable systems have grabbed many researchers’ interests in the area of nonlinear dynamics and chaotic systems. In this paper, the oscillatory terms’ coefficients of the simplest megastable oscillator are forced to blink in time. The forced system can generate an infinitive number of hidden attractors without changing parameters. The behavior of these hidden attractors can be chaotic, tori, and limit cycle. The attractors’ topology of the system seems unique and looks like picture frames. Besides, the existence of different coexisting attractors with different kinds of behaviors reflects the system's high sensitivity. Using the sample entropy algorithm, the system’s complexity for different initial values is assessed. In addition, the circuit of the introduced forced system is designed, and the possibility of implicating the system with analog elements is investigated.

Suggested Citation

  • Dhinakaran Veeman & Hayder Natiq & Nadia M. G. Al-Saidi & Karthikeyan Rajagopal & Sajad Jafari & Iqtadar Hussain & Jorge-Antonio Lopez-Renteria, 2021. "A New Megastable Chaotic Oscillator with Blinking Oscillation terms," Complexity, Hindawi, vol. 2021, pages 1-12, April.
    • Handle: RePEc:hin:complx:5518633
    DOI: 10.1155/2021/5518633
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    Cited by:

    1. Vijayakumar M.D. & Anitha Karthikeyan & Jozef Zivcak & Ondrej Krejcar & Hamidreza Namazi, 2021. "Dynamical Behavior of a New Chaotic System with One Stable Equilibrium," Mathematics, MDPI, vol. 9(24), pages 1-9, December.
    2. Vijayakumar, M.D. & Natiq, Hayder & Tametang Meli, Maxim Idriss & Leutcho, Gervais Dolvis & Tabekoueng Njitacke, Zeric, 2022. "Hamiltonian energy computation of a novel memristive mega-stable oscillator (MMO) with dissipative, conservative and repelled dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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