| 哈密顿-雅可比方法对非线性非完整系统的适用性 |
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| 引用本文： | Q·K·戈里,纳赛尔·艾赫默德. 哈密顿-雅可比方法对非线性非完整系统的适用性[J]. 应用数学和力学, 1988, 9(10): 879-892 |
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| 作者姓名： | Q·K·戈里 纳赛尔·艾赫默德 |
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| 作者单位： | 巴基斯坦古艾德·艾·亚赞大学数学系 |
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| 摘 要： | 本文用庞加莱(Poincaré)形式将哈密顿-雅可比方法(Hamilton-Jacobi method)推广到具有非线性非完整约束的动力系统的运动情况.研究了本方法对该系统推广的必要条件和充分条件.并用非完整系统的某些具体实例进行了说明.
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| 收稿时间： | 1987-10-15 |
Applicability of Hamilton-Jacobi Method to Nonlinear Nonholonomic Systems |
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| Affiliation: | Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan |
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| Abstract: | This paper uses Poincare formalism to obtain a generalization of the Hamilton-Jacobi method of integrating dynamical systems moving with nonlinear nonholonomic constraints. Necessary and sufficient conditions are investigated for the applicability of this method to such systems. The method is illustrated by considering some concrete examples of nonholonomic systems. |
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