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

Chaos. 2024 Jul 1;34(7):073154. doi: 10.1063/5.0213913.

Authors

Gonzalo Marcelo Ramírez-Ávila^{1

2

3

4}, Tomasz Kapitaniak², Didier Gonze⁴

Affiliations

¹ Namur Institute for Complex Systems (naXys), Université de Namur, Rue de Bruxelles 61, B-5000 Namur, Belgium.
² Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.
³ Instituto de Investigaciones Físicas, and Planetario Max Schreier, Universidad Mayor de San Andrés, Campus Universitario, C. 27 s/n Cota-Cota, 0000 La Paz, Bolivia.
⁴ Unit of Theoretical Chronobiology, Université Libre de Bruxelles, CP231, Boulevard du Triomphe, 1050 Brussels, Belgium.

PMID: 39047162
DOI: 10.1063/5.0213913

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.