Evolution of slow variables in a priori unstable Hamiltonian systems

By D. Treschev. 2004

135 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f572056edbccf03b69f160926ce90ddca4a28417

How researchers see this paper

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

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

In Statistics and Probability

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

Citations in the corpus

• The dynamics of pseudographs in convex Hamiltonian systems (2004, methodology): “Solutions to the Large Gap problem have recently been given by Delshams, de la Llave and Seara, see [13], and by Treschev, see [29] using elaborations on Arnold’s method.”
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation (2010, unknown): “[1, 2, 9–12, 27, 30, 32, 33, 37–40, 42, 43, 46, 50, 51, 64, 66, 67, 78]).”
• A strong form of Arnold diusion for two and a half degrees of freedom (2012, background): “– In [73, 74] a return (separatrix) map along invariant manifolds of C is constructed.”