Dynamical analysis of a periodically forced chaotic chemical oscillator

Gonzalo Marcelo Ramírez-Ávila; Tomasz Kapitaniak; Didier Gonze

doi:10.1063/5.0213913

Dynamical analysis of a periodically forced chaotic chemical oscillator

Gonzalo Marcelo Ramírez-Ávila, Tomasz Kapitaniak, Didier Gonze

Namur Institute for Complex Systems

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Abstract

We present a comprehensive dynamical analysis of a chaotic chemical model referred to as the autocatalator, when subject to a periodic administration of one substrate. Our investigation encompasses the dynamical characterization of both unforced and forced systems utilizing isospikes and largest Lyapunov exponents-based parameter planes, bifurcation diagrams, and analysis of complex oscillations. Additionally, we present a phase diagram showing the effect of
the period and amplitude of the forcing signal on the system’s behavior. Furthermore, we show how the landscapes of parameter planes are altered in response to forcing application. This analysis contributes to a deeper understanding of the intricate dynamics induced by the periodic forcing of a chaotic system.

Original language	English
Article number	073154
Number of pages	15
Journal	Chaos
Volume	34
Issue number	7
DOIs	https://doi.org/10.1063/5.0213913
Publication status	Published - 31 Jul 2024

Funding

G.M.R.A. and T.K. have been supported by the National Science Centre, Poland, OPUS Programs (Project Nos. 2018/29/B/ST8/00457 and 2021/43/B/ST8/00641). This project has received funding from the European Union\u2019s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 101034383. Computational resources have been provided by the Consortium des \u00C9quipements de Calcul Intensif (C\u00C9CI), funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) under Grant No. 2.5020.11 and by the Walloon Region. G.M.R.A. and T.K. have been supported by the National Science Centre, Poland, OPUS Programs (Project Nos. 2018/29/B/ST8/00457 and 2021/43/B/ST8/00641). This project has received funding from the European Union\u2019s Horizon 2020 research and innovation programme under the Marie Sklodowska\u2013Curie Grant Agreement No. 101034383. Computational resources have been provided by the Consortium des \u00C9quipements de Calcul Intensif (C\u00C9CI), funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) under Grant No. 2.5020.11 and by the Walloon Region.

Funders	Funder number
Waalse Gewest
Consortium des Équipements de Calcul Intensif
National Science Centre, Poland	2018/29/B/ST8/00457, 2021/43/B/ST8/00641
Horizon 2020 Framework Programme	101034383
Fonds De La Recherche Scientifique - FNRS	2.5020.11

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10.1063/5.0213913

CHA24-AR-00664 (2)Accepted author manuscript, 5 MB

Cite this

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abstract = "We present a comprehensive dynamical analysis of a chaotic chemical model referred to as the autocatalator, when subject to a periodic administration of one substrate. Our investigation encompasses the dynamical characterization of both unforced and forced systems utilizing isospikes and largest Lyapunov exponents-based parameter planes, bifurcation diagrams, and analysis of complex oscillations. Additionally, we present a phase diagram showing the effect ofthe period and amplitude of the forcing signal on the system{\textquoteright}s behavior. Furthermore, we show how the landscapes of parameter planes are altered in response to forcing application. This analysis contributes to a deeper understanding of the intricate dynamics induced by the periodic forcing of a chaotic system.",

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Dynamical analysis of a periodically forced chaotic chemical oscillator

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Dynamical analysis of a periodically forced chaotic chemical oscillator

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