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.

中文翻译：

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周期性受迫Brusselator中的多重稳定性

在本文中，我们报告了周期性强制 Brusselator 中的多稳定性，它由两个一阶常微分方程的非线性非自治系统建模。在模型的四维参数空间的横截面，即(ω,F)参数平面中检测到多稳态区域，其中ω和F分别是外力的角频率和振幅。李雅普诺夫指数谱用于表征上述参数平面中每个点的动力学行为。此外，还使用吸引力盆地、分叉图和相空间图来说明周期性和混沌行为的共存。