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

Autor:	Alexander Medvedev, Viktor Avrutin, Zhanybai T. Zhusubaliyev
Rok vydání:	2021
Předmět:	General Mathematics Applied Mathematics Invariant manifold Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics Bifurcation analysis Phase space Quasiperiodic function Invariant (mathematics) Focus (optics) Hybrid model Bifurcation Mathematics
Zdroj:	Chaos, Solitons & Fractals. 153:111571
ISSN:	0960-0779
DOI:	10.1016/j.chaos.2021.111571
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::19db20146c8428e3a7abcba26b9a7447 https://doi.org/10.1016/j.chaos.2021.111571 Zobrazit plný text záznamu Full Text from ScienceDirect