环面上微分系统的次谐波分枝

Subharmonic Bifurcations of the Differential System on Tori

本文研究有周期作用的微分系统的次谐波分枝。利用Melnikov理论。确定了奇数阶次谐波的存在性。并且给出了参数区域的明显公式。

We study the subhurmonic bifurcations in the periodically forced differential system on tori. By using melnikov technique, we establish the existence of subharmonic Solutions with odd order and provide explicit formulas of parameter regions.