一个平面二次Hamilton系统的四参数开折

The Four-parameter Unfolding of a Quadratic Hamiltonian System

通过对一个二次 Hamilton系统的四参数的开折 ,得到一个保证系统存在极限环的四维参数区域 ,区域的部分边界为庞加莱分枝、同宿环分枝、异宿环分枝。

Consider the four parameter unfolding of a Hamiltonian system to get a four dimension paremeter domains which ensure the unfolded system have the limit cycle .The part boundaries of the domains correspond to poincare , homoclinic, Hopf or saddle node bifurcations.