摘要
本文研究Kelvin-Stuart猫眼流在周期扰动下的动力学行为,运用Melnikov方法确定出振动型周期轨产生偶数阶次谐分枝、旋转型周期轨产生任意阶次谐分枝的条件,并进一步发现周期解与浑沌解共存的复杂现象.
This paper discusses the dynamic behavior of the Kelvin-Stuart cat's eye flow under periodic perturbations. By means of the Melnikov method the conditions to have bifurcations to subharmonics of even order for the oscillating orbits and to have bifurcations to subharmonics of any order for the rotating orbits are given, and further, the coexistence phenomena of the chaotic motions and periodic solutions are presented.
出处
《应用数学和力学》
EI
CSCD
北大核心
1991年第12期1067-1074,共8页
Applied Mathematics and Mechanics
基金
中国科学院科学基金
关键词
流场
平面流
浑沌解
周期解
chaos, bifurcation, transverse, heterocliuic cycle, homoclinic orbit, cat's eye flow, vortex
