Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions

作者：Xu JX^*

来源：SIAM Journal on Mathematical Analysis, 2004, 36(1): 233-255.

DOI：10.1137/S0036141003421923

• reversible systems
• Kolmogorov-Arnold-Moser iteration
• invariant tori
• nonresonance conditions

In this paper we give a normal form for reversible systems and then prove the persistence of lower dimensional invariant tori for integrable reversible systems under small perturbations with weaker nonresonance conditions than have previously been imposed. Our nonresonance conditions correspond to the first Melnikov's conditions in the case of Hamiltonian systems.

• 出版日期2004
• 单位东南大学