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

Zhanybai T. Zhusubaliyev, Viktor Avrutin and Alexander Medvedev

Chaos, Solitons & Fractals, 2021, vol. 153, issue P1

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.

Keywords: Closed invariant curve; Doubling bifurcation; Delay; Quasiperiodicity (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921009255

DOI: 10.1016/j.chaos.2021.111571

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