47 citations · 95 across the 21 of their papers we have counts for
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math.DS2012★ 1 cited
Continuous averaging proof of the Nekhoroshev theorem
Jinxin Xue
In this paper we develop the continuous averaging method of Treschev to work on the simultaneous Diophantine approximation and apply the result to give a new proof of the Nekhorosh…
math.DS2012
Arnold Diffusion in a Restricted Planar Four-Body Problem
Jinxin Xue
This paper constructs a certain planar four-body problem which exhibits fast energy growth. The system considered is a quasi-periodic perturbation of the Restricted Planar Circular…
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…