Destruction of Lagrangian torus for positive definite Hamiltonian systems

Chong-Qing Cheng, Lin Wang

For an integrable Hamiltonian $H_0=1/2{\sum }_{i=1}^d{y}_i^2$ $(d\ge 2)$, we show that any Lagrangian torus with a given unique rotation vector can be destructed by arbitrarily $C^{2d-…