摘要
用Melnikov方法对二维流体流场中的Hamilton系统进行研究,讨论了系统具有扰动项时产生的次谐波周期分支,并指出扰动系统的次谐周期解与浑沌解具有共存性。
In this paper, Melnikov's method is used to study the Hamiltonian system in two-dimensional fluid field, the subharmonic periodic bifurcations in perturbed systems are discussed and the coexistence of subharmonic solutions with chaos solutions in the perturbed system is confirmed.
基金
云南省教委科研基金
关键词
浑沌
次谐波分支
K-S流
猫眼流
Chaos
Subharmonic bifurcations
Kelvin-stuart cat's eye flow.