高维增广相空间中完整非保守力学系统积分不变量的构造

The integral invariant construction of holonomic nonconservative dynamical systems in the high-dimensional extended phase space

建立了高维增广相空间中完整非保守力学系统的变分方程,并利用系统的正则方程和变分方程证明,可由第一积分直接构造系统的积分不变量,并举例说明结果的应用.

The variational equations are established for holonomic nonconservative dynamical systems in the high-dimensional extended phase space. The canonical equations of systems and their variational equations are used to prove that an integral invariant can be directly constructed by the first integral of the systems. Finally one example is given.