Degenerate lower dimensional tori in reversible systems

作者：Wang, Xiaocai^*; Xu, Junxiang; Zhang, Dongfeng

来源：Journal of Mathematical Analysis and Applications, 2012, 387(2): 776-790.

DOI：10.1016/j.jmaa.2011.09.030

• Reversible systems
• KAM iteration
• Degenerate lower dimensional tori

In this paper we prove the persistence of lower dimensional invariant tori with prescribed frequencies and singular normal matrices in reversible systems. The normal variable is two-dimensional and the unperturbed nonlinear terms in the differential equation for this variable have a special structure.

• 出版日期2012-3-15
• 单位东南大学; 淮阴工学院