Total destruction of Lagrangian tori

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Wang, Lin

关键词: Lagrangian torus;    Tonelli Hamiltonian;   

DOI  :  10.1016/j.jmaa.2013.09.018

来源: Elsevier

【 摘 要 】

For an integrable Tonelli Hamiltonian with d (d >= 2) degrees of freedom, we show that all of the Lagrangian tori can be destroyed by analytic perturbations which are arbitrarily small in the Cd-8 topology. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free