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Multistability in a Periodically Forced Brusselator

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Abstract

In this paper, we report on multistability in a periodically forced Brusselator, which is modeled by a nonlinear nonautonomous system of two first-order ordinary differential equations. Multistability regions are detected in a cross section of the four-dimensional parameter space of the model, namely the (ω, F) parameter plane, where ω and F are respectively angular frequency and amplitude of an external forcing. Lyapunov exponents spectra are used to characterize the dynamical behavior of each point in the abovementioned parameter plane. Moreover, basins of attraction, bifurcation diagrams, and phase-space portraits are used to illustrate the coexistence of periodic and chaotic behaviors.

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Funding

The author received financial support from Conselho Nacional de Desenvolvimento Cientí fico e Tecnológico-CNPq, and Fundação de Amparo à Pesquisa e Inovação do Estado de Santa Catarina-FAPESC, Brazilian Agencies.

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  1. Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710, Joinville, Brazil

    Paulo C. Rech

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  1. Paulo C. Rech
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Correspondence to Paulo C. Rech.

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Rech, P.C. Multistability in a Periodically Forced Brusselator. Braz J Phys 51, 144–147 (2021). https://doi.org/10.1007/s13538-020-00806-2

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  • DOI: https://doi.org/10.1007/s13538-020-00806-2

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