准对称流的混沌和共振流线(英文)

Chaotic and Resonant Stream Lines in the Quasi-symmetry Flows

采用计算Melnikov函数的方法 ,研究了描述qth(q=3或 6 )准对称流流体粒子运动的动力系统 .文中在分析未扰动系统轨道解析表示的基础上 ,深入考察了扰动系统的分岔情况 .结果表明 ,扰动系统在一定条件下能够分支出混沌和共振流线 .

The dynamical systems associated with fluid particle motion of the qth order (q=3 or 6) quasi-symmetry flows are studied by using the Melnikov method.It is suggested that the quasi-symmetry flows (q=3 or 6) have chaotic and resonant stream lines under proper conditions,which,analytically,is given in this paper.