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A new megastable chaotic oscillator with singularity

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Abstract

While multistability is known as a hot topic in nonlinear dynamics, two exceptional cases of multistable systems have been investigated less: extreme multistable systems and megastable systems are two newer categories of multistable dynamical systems. In this paper, for the first time, a chaotic megastable oscillator is introduced which has a singularity in its equations. The effect of the amplitude and frequency of forcing term on the dynamical behavior of the designed system is investigated. With the help of the bifurcation diagram and the Lyapunov exponents’ diagram, it is shown that the proposed oscillator can show a variety of dynamical behaviors, including limit cycle, torus, and strange attractor.

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Authors and Affiliations

  1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an, 710123, P.R. China

    Zhen Wang & Mingshu Chen

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

    Hamid Reza Abdolmohammadi

  3. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland

    Agnieszka Chudzik

  4. Health Technology Research Institute, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran

    Sajad Jafari

  5. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran

    Sajad Jafari

  6. Department of Mathematics, Statistics and Physics, Qatar University, Doha, 2713, Qatar

    Iqtadar Hussain

Authors
  1. Zhen Wang
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  2. Hamid Reza Abdolmohammadi
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  3. Mingshu Chen
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  4. Agnieszka Chudzik
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  5. Sajad Jafari
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  6. Iqtadar Hussain
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Correspondence to Sajad Jafari.

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Wang, Z., Abdolmohammadi, H.R., Chen, M. et al. A new megastable chaotic oscillator with singularity. Eur. Phys. J. Spec. Top. 229, 2341–2348 (2020). https://doi.org/10.1140/epjst/e2020-000003-6

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  • DOI: https://doi.org/10.1140/epjst/e2020-000003-6

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