Chongqing Cheng

activity

20122020

most citedArnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom

12 citations · 27 across the 10 of their papers we have counts for

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math.DS2012

Destruction of Lagrangian torus for positive definite Hamiltonian systems

Chong-Qing Cheng, Lin Wang

For an integrable Hamiltonian $H_{0} = 1/2 \sum_{i = 1}^{d} y_{i}^{2}$ $(d \geq 2)$ , we show that any Lagrangian torus with a given unique rotation vector can be destructed by arbitrarily $C^{2d-…

math.DS2012

Arnold diffusion in nearly integrable Hamiltonian systems

Chong-Qing Cheng

In this paper, Arnold diffusion is proved to be generic phenomenon in nearly integrable convex Hamiltonian systems with three degrees of freedom: $$ H(x,y)=h(y)+εP(x,y), \qquad x\i…