Dynamics and active control of chemical oscillations modeled as a forced generalized Rayleigh oscillator with asymmetric potential

  • Authors

    • ADECHINAN Adébiyi Joseph Université Nationale des Sciences, Technologie, Ingénierie et Mathématique
    • Kpomahou Y. J. Fernando Université Nationale des Sciences, Technologie, Ingénierie et Mathématique
    • Miwadinou H. Clément Université Nationale des Sciences, Technologie, Ingénierie et Mathématique
    • Hinvi A. laurent Université Nationale des Sciences, Technologie, Ingénierie et Mathématique
    2021-08-10
    https://doi.org/10.14419/ijbas.v10i2.31631
  • Chemical oscillations, Generalized Rayleigh oscillator, Melnikov chaos, Coexisting attractors, Active control.

  • Abstract

    This paper focuses on the dynamics and active control of chemical oscillations governed by a forced generalized Rayleigh oscillator. The Melnikov method is used to analytically determine the critical parameters for the onset of chaotic motions. The analytical results are confirmed by numerical simulations. The bifurcation structures obtained show that the model displays a rich variety of dynamical behaviors and remarkable routes to chaos. The effects of the control gain parameters on the behavior of the system are analyzed and the results obtained have shown the control efficiency.

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  • How to Cite

    Adébiyi Joseph, A., Y. J. Fernando, K., H. Clément, M., & A. laurent, H. (2021). Dynamics and active control of chemical oscillations modeled as a forced generalized Rayleigh oscillator with asymmetric potential. International Journal of Basic and Applied Sciences, 10(2), 20-31. https://doi.org/10.14419/ijbas.v10i2.31631

    Received date: 2021-06-18

    Accepted date: 2021-07-13

    Published date: 2021-08-10