Poincaré and Poincaré-Cartan integral invariants of a generalized Hamiltonian system

被引：0
|
作者：
Yongxin GUO
机构：
来源：
Communications in Nonlinear Science & Numerical Simulation | 2001年 / 01期
关键词：
Birkhoffian systems; symplectic structure; integral invariants;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Without Darboux’s transformation, the traditional Hamiltonian formulation of dynamical systems is only suitable to conservative systems or self-adjoint systems. Based on an extension of dynamic space of Birkhoffian systems to a generalized phase space by intro- ducing dummy variables, a generalized Hamiltonian canonical formulation of general systems is constructed, which admits symplectic structure. There exist integral invariants of Poincare and Poincare-Cartan’s type for such systems.
引用
收藏
页码：45 / 49
页数：5
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