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中文摘要：
这份报纸在非线性的系统分析涉及在 Volterra 系列和常规不安方法之间的连接。这第一次被揭示一个强迫的多项式非线性的系统如果它的导出的线性系统是一个抑制消散的系统，通过常规不安方法获得的稳定的反应与 Volterra 系列给的反应确切相同。在另一方面，如果导出的线性系统是一个未受潮的保守系统，那么， Volterra 系列不能为强迫的多项式建模非线性的系统。数字例子进一步被举说明这些点。结果为快速判定 Volterra 系列是否为为一个给定的多项式建模是适用的提供一个新标准非线性的系统。
英文摘要：
This paper is concerned with the connection between the Volterra series and the regular perturbation method in nonlinear systems analyses. It is revealed for the first time that, for a forced polynomial nonlinear system, if its derived linear system is a damped dissipative system, the steady response obtained through the regular perturbation method is exactly identical to the response given by the Volterra series. On the other hand, if the derived linear system is an undamped conservative system, then the Volterra series is incapable of modeling the forced polynomial nonlinear system. Numerical examples are further presented to illustrate these points. The results provide a new criterion for quickly judging whether the Volterra series is applicable for modeling a given polynomial nonlinear system.
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