Non-existence of KAM Torus

作者：Cheng Chong Qing^*

来源：Acta Mathematica Sinica-English Series, 2011, 27(2): 397-404.

DOI：10.1007/s10114-011-0631-5

• KAM theory
• minimal invariant measure
• alpha-function

Given an integrable Hamiltonian h(0) with n-degrees of freedom and a Diophantine frequency omega, then, arbitrarily close to h(0) in the C(r) topology with r < 2n, there exists an analytical Hamiltonian h(epsilon), with no KAM torus of rotation vector w. In contrast with it, KAM tori exist if perturbations are small in C(r) topology with r > 2n.

• 出版日期2011-2
• 单位南京大学