1 citations · 1 across the 3 of their papers we have counts for
4 papers
Normally Hyperbolic Invariant Cylinders Passing Through Multiple Resonance
Chong-Qing Cheng, Min Zhou
We study the continuation of periodic orbits from various compound of homoclinics in classical system. Together with the homoclinics, the periodic orbits make up a -smooth, no…
The genericity of Arnold diffusion in nearly integrable Hamiltonian systems
Chong-Qing Cheng
In this paper, we prove that the net of transition chain is -dense for nearly integrable positive definite Hamiltonian systems with 3 degrees of freedom in the cusp-residual gen…
Destruction of Lagrangian torus for positive definite Hamiltonian systems
Chong-Qing Cheng, Lin Wang
For an integrable Hamiltonian , we show that any Lagrangian torus with a given unique rotation vector can be destructed by arbitrarily $C^{2d-…
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…