The "dual" state variable (DSV) formulation is a new way to represent ordinary differential equations. It is based on a framework that is consistent with the analysis of linear systems, and it allows the state space representation of a system to exhibit considerable symmetry. Its use in modeling requires a clear understanding of its unique four-dimensional state space, but it can be computationally simple. The DSV formulation has been successfully applied to model the nonlinear pendulum, the Duffing oscillator, and the van der Pol oscillator, with results that are superior to those of perturbation methods. An introduction to the DSV formulation and a framework for its systematic application as a modeling tool for nonlinear oscillators are presented.
展开▼
机译：“双”状态变量（DSV）配方是表示常微分方程的新方法。 它基于与线性系统分析一致的框架，并且允许系统的状态空间表示表现出相当大的对称性。 它在建模中的使用需要清楚地了解其独特的四维状态空间，但它可以计算出简单。 DSV配方已成功应用于模拟非线性摆，Duffing振荡器和van der Pol振荡器，其结果优于扰动方法。 提出了DSV制定的简介和其系统应用作为非线性振荡器的建模工具的框架。
展开▼
