Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems

By Chongqing Cheng, Jun Yan. 2004

142 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7a20169e5ffe502628443941948eb35998ce1494

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Vadim Kaloshin
2. Ke Zhang
3. P. Bernard
4. Shin-ichi Ohta

In Mathematical Physics

1. Vadim Kaloshin
2. Ke Zhang
3. P. Bernard

In Statistical and Nonlinear Physics

1. Vadim Kaloshin
2. Ke Zhang
3. P. Bernard

Citations in the corpus

• A strong form of Arnold diusion for two and a half degrees of freedom (2012, methodology): “1, and uses well known ideas (see for example [23], [24], [10]) involving normally hyperbolic invariant cylinders.”
• Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders (2016, methodology): “Here we manage to extend the variational approach of [8], [23], [24] (which are based on Mather’s work).”
• GEOMETRIC PROPERTIES OF THE SCATTERING MAP OF A NORMALLY HYPERBOLIC INVARIANT MANIFOLD (2008, unknown): “Hence, in our language, it would be the infimum of P over all homoclinic intersections [13,14,18,44, 48,49].”