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Doubling of a closed invariant curve in an impulsive Goodwin’s oscillator with delay

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  • Zhusubaliyev, Zhanybai T.
  • Avrutin, Viktor
  • Medvedev, Alexander

Abstract

In the present paper, we focus on the doubling of closed invariant curves associated with quasiperiodic dynamics. We consider a 5D map derived from a hybrid model originating from systems biology and containing a continuous part with time delay and pulse-modulated feedback. Using numerical bifurcation analysis, we show that doubling bifurcation takes place on a closed 2D invariant manifold. We explain how such a configuration of the phase space can be created and highlight the role of delay.

Suggested Citation

  • Zhusubaliyev, Zhanybai T. & Avrutin, Viktor & Medvedev, Alexander, 2021. "Doubling of a closed invariant curve in an impulsive Goodwin’s oscillator with delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921009255
    DOI: 10.1016/j.chaos.2021.111571
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    Cited by:

    1. Kuznetsov, Alexander P. & Sedova, Yuliya V. & Stankevich, Nataliya V., 2023. "Coupled systems with quasi-periodic and chaotic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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