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Chaotic Behaviors and Coexisting Attractors in a New Nonlinear Dissipative Parametric Chemical Oscillator

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Listed:
  • Y. J. F. Kpomahou
  • A. Adomou
  • J. A. Adéchinan
  • A. E. Yamadjako
  • I. V. Madogni
  • Jesus M. Munoz-Pacheco

Abstract

In this study, complex dynamics of Briggs–Rauscher reaction system is investigated analytically and numerically. First, the Briggs–Rauscher reaction system is reduced into a new nonlinear parametric oscillator. The Melnikov method is used to derive the condition of the appearance of horseshoe chaos in the cases ω=Ω and ω≠Ω. The performed numerical simulations confirm the obtained analytical predictions. Second, the prediction of coexisting attractors is investigated by solving numerically the new nonlinear parametric ordinary differential equation via the fourth-order Runge–Kutta algorithm. As results, it is found that the new nonlinear chemical system displays various coexisting behaviors of symmetric and asymmetric attractors. In addition, the system presents a rich variety of bifurcations phenomena such as symmetry breaking, symmetry restoring, period doubling, reverse period doubling, period-m bubbles, reverse period-m bubbles, intermittency, and antimonotonicity. On the contrary, emerging chaotic band attractors and period-1, period-3, period-9, and period-m bubbles routes to chaos occur in this system.

Suggested Citation

  • Y. J. F. Kpomahou & A. Adomou & J. A. Adéchinan & A. E. Yamadjako & I. V. Madogni & Jesus M. Munoz-Pacheco, 2022. "Chaotic Behaviors and Coexisting Attractors in a New Nonlinear Dissipative Parametric Chemical Oscillator," Complexity, Hindawi, vol. 2022, pages 1-16, March.
  • Handle: RePEc:hin:complx:9350516
    DOI: 10.1155/2022/9350516
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    Cited by:

    1. Zhang, Jie & Zuo, Jiangang & Wang, Meng & Guo, Yan & Xie, Qinggang & Hou, Jinyou, 2024. "Design and application of multiscroll chaotic attractors based on a novel multi-segmented memristor," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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