12 citations · 27 across the 10 of their papers we have counts for
11 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…
Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
Qinbo Chen, Chong-Qing Cheng
It is well known that under generic smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In…
Regular dependence of the Peierls barriers on perturbations
Qinbo Chen, Chong-Qing Cheng
Let be an exact area-preserving monotone twist diffeomorphism of the infinite cylinder and be the associated Peierls barrier. In this paper, we give the Hölder reg…
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…
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…
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(…
Asymptotic trajectories of KAM torus
Jianlu Zhang, Chong-Qing Cheng
In this paper we construct a certain type of nearly integrable systems of two and a half degrees of freedom: \[H(p,q,t)=h(p)+εf(p,q,t),\quad (q,p)\in T^{*}\mathbb{T}^2,t\in \mathbb…
Hyperbolicity of minimal periodic orbits
Chong-Qing Cheng, Min Zhou
For positive definite Lagrange systems with two degrees of freedom, it is a typical phenomenon that all minimal periodic orbits are hyperbolic.
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…