Lotka-Volterra方程:约化、分类及动力学性质

Lotka-Volterra equations:reduction,classification and dynamics

摘要: 综合介绍了常系数n维Lotka-Volterra方程组的研究状况,特别注意这类系统与广义哈密顿系统的联系,讨论了相关的约化、分类及动力学性质,介绍了作者获得的一些新结果,同时也指出了一些值得进一步研究的问题.

Abstract: Recent works regarding the n dimensional Lotka Volterra equations (LVE) with constant coefficients is surveyed.Particularly,the relationship between the LVE and the generalized Hamiltonian systems is emphasized.Some new results dealing with the reduction,classification and dynamics of the LVE are reviewed.