具有周期为非单调闭轨族系统的分叉

The Bifurcation of System with a losed orbit family of non-monotone perid

本文从理论上讨论了具有为非单调闭轨族的Hamilton系统在周期小扰动下的次谐分叉,给出了相应的判据。用这种方法不仅能讨论同周期分叉现象,而且能分析更为复杂的其他分叉现象。

In this paper, the subhurmonic bifurcation of Hamiltonian system with a closed orbit family of non-monotone period is discussed. The theorytical criteria is given. By means of this method, we can not only study phenomenon of the equal period bifrucation, but also analyse phenomena of other mone complicated bifurcation.