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Nonlinear dynamics and passive control of GLYCOLYTIC oscillations

Author

Listed:
  • Miwadinou, C.H.
  • Olabodé, D.L.
  • Monwanou, A.V.
  • Enjieu Kadji, H.G.
  • Chabi Orou, J.B.

Abstract

This paper addresses the issues of nonlinear dynamics and passive control of the main first stage of glycolytic oscillations. The Routh–Hurwitz criterion, the Whittaker method and the Floquet theory are utilized to analytically determine the stability boundaries of linear and nonlinear oscillations. Routes to chaos are investigated through bifurcation diagram, Lyapunov exponant, times stories and phase portraits. The passive control scheme is considered to get rid of chaotic oscillations. Results of analytical investigations are validated and complemented by numerical simulations.

Suggested Citation

  • Miwadinou, C.H. & Olabodé, D.L. & Monwanou, A.V. & Enjieu Kadji, H.G. & Chabi Orou, J.B., 2023. "Nonlinear dynamics and passive control of GLYCOLYTIC oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010792
    DOI: 10.1016/j.chaos.2023.114177
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    References listed on IDEAS

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    1. Paul Yaovi Dousseh & Cyrille Ainamon & Clément Hodévèwan Miwadinou & Adjimon Vincent Monwanou & Jean Bio Chabi Orou, 2021. "Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-15, March.
    2. Belmahi, Naziha & Shawagfeh, Nabil, 2021. "A new mathematical model for the glycolysis phenomenon involving Caputo fractional derivative: Well posedness, stability and bifurcation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Paul Yaovi Dousseh & Cyrille Ainamon & Clément Hodévèwan Miwadinou & Adjimon Vincent Monwanou & Jean Bio Chabi Orou & Guillermo Huerta Cuellar, 2021. "Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode," Complexity, Hindawi, vol. 2021, pages 1-15, July.
    4. Miwadinou, C.H. & Monwanou, A.V. & Hinvi, L.A. & Chabi Orou, J.B., 2018. "Effect of amplitude modulated signal on chaotic motions in a mixed Rayleigh–Liénard oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 89-101.
    5. Paul Yaovi Dousseh & Cyrille Ainamon & Clément Hodévèwan Miwadinou & Adjimon Vincent Monwanou & Jean Bio Chabi Orou, 2021. "Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Modeâ€," Complexity, Hindawi, vol. 2021, pages 1-16, November.
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