广义LV系统的运动不变量和哈密顿函数(英文)

Constants of Motion and Hamiltonian Structure for n-dimensional Generalized Lotka-Volterra Systems

给出了可作为具有相应Poissn结构的GLV系统的哈密顿函数和运动不变量的一类函数及代数条件.并且定理的代数条件是独立的.利用主要定理2很容易证明一个系统是否具有文中所给哈密顿函数的哈密顿系统.

One functions and the algebraic conditions which can be regarded as constants of motion and Hamiltonian functions for a suitable Poisson structure of GLV systems are given. Meanwhile the algebraic conditions of these theorem are independent. Using the main theorem 2 we can easy to validate that whether the systems are Hamiltonian with one of the Hamiltonian functions which are given by this work.