机构地区: 云南大学
出 处: 《云南民族大学学报(自然科学版)》 1994年第2期4-8,共5页
摘 要: Lorenz对一类浅水波动方程进行了研究,特别对慢流形作了比较深入的讨论,但对平衡点的存在性,多数空间的划分以及平衡点的稳定条件等未作深入的研究。本文对该类方程平衡点的存在性及分支作了详细的讨论,给出了多数空间的划分,并对稳定性和周期性的存在性作了讨论。 Lorenz studied a Shallow water wave equation and deeply discussed its slowmanifold,but lorenz didn't deeply studied existence and stability of equilibrium points and par-tition of parameter space In this paper,for this equtior,existence and bifarcation ofequilibrium points are discussed,and partition of parameter space is given,moreover stablityof equilibrium points and existence of periodce solution are also studied.