非线性相位耦合函数的数值研究
Nonlinear phase coupling functions: a numerical study
摘要：
相位约化是一种广泛用于描述受迫和相互作用自持振子的通用工具。在这里，我们探讨的相位耦合功能超出通常的一阶近似的力量的强度。以周期性受迫的Stuart-Landau振子为范例模型，确定并数值分析了力强度的四阶耦合函数。我们发现，所发现的非线性相位耦合函数可用于预测的受迫振子的同步区域。
英文摘要：
Phase reduction is a general tool widely used to describe forced and interacting self-sustained oscillators. Here we explore the phase coupling functions beyond the usual first-order approximation in the strength of the force. Taking the periodically forced Stuart-Landau oscillator as the paradigmatic model, we determine and numerically analyse the coupling functions up to the fourth order in the force strength. We show that the found nonlinear phase coupling functions can be used for predicting synchronization regions of the forced oscillator.
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