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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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Showing 2015Show all

3 papers · 1 filter

math.DS2015★ 3 cited

A way to cross double resonance

Chong-Qing Cheng

For typical perturbations of convex integrable Hamiltonian system with three degrees of freedom, a path of diffusion is established to cross strong double resonant point. Together…

math.DS2015★ 3 cited

Uniform hyperbolicity of invariant cylinder

Chong-Qing Cheng

For a nearly integrable Hamiltonian systems with , large normally hyperbolic invariant cylinders exist along the whole reso…

math.DS2015★ 12 cited

Arnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom

Chong-Qing Cheng, Jinxin Xue

In this paper Arnold diffusion is proved to be a generic phenomenon in nearly integrable convex Hamiltonian systems with arbitrarily many degrees of freedom: $$ H(x,y)=h(y)+\eps P(…