Converse KAM theory revisited

2012/08/14 by Wang, Lin
#Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1208.2840

Abstract

For an integrable Hamiltonian with d (d≥ 2) degrees of freedom, we show the conditions on perturbations, for which invariant tori can be destructed.

Related

• Singular KAM Theory
• A note on the KAM theorem for partially integrable Hamiltonian systems
• KAM Theory for secondary tori
• Positive measure of KAM tori for finitely differentiable Hamiltonians
• Destruction of Lagrangian torus for positive definite Hamiltonian systems