论文标题
双HOPF分叉中的正常谐振
Normal-normal resonances in a double Hopf bifurcation
论文作者
论文摘要
我们研究了双HOPF分叉期间不变的N维准周期托里的稳定性损失，在分叉时，这两个正常频率处于正常值的共振。不变性用于以统一的方式分析正常形式的近似值。相应的动力学形成了原始系统动力学的骨架。在这里，正在使用正常的双曲和KAM理论。
We investigate the stability loss of invariant n-dimensional quasi-periodic tori during a double Hopf bifurcation, where at bifurcation the two normal frequencies are in normal-normal resonance. Invariants are used to analyse the normal form approximations in a unified manner. The corresponding dynamics form a skeleton for the dynamics of the original system. Here both normal hyperbolicity and KAM theory are being used.
