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本文建立确定非线性动力系统的周期的新方法——后继函数法。通过对无阻尼 Ｄｕｆｆｉｎｇ方程、线性阻尼系统和 Ｖａｎ ｄｅｒ Ｐｏｌ方程实例分析。结果表明该方法计算结果准确且实用性强。本方法不但适用于求解保守系统和具有周期解非线性动力系统的周期，也适用于耗散系统和不稳定系统的分析
In this paper, we establish a new method to determine the period of a nonlinear dynamical system - the successor function method. Through the case analysis of the undressive Duffing equation, the linear damping system and the Van der Pol equation. The results show that the method is accurate and practical. The method is not only suitable for solving the conservative system and the periodic solution of nonlinear dynamical systems, but also for the analysis of dissipative systems and unstable systems