29 citations · 92 across the 16 of their papers we have counts for
4 papers · 1 filter
Flexibility of sections of nearly integrable Hamiltonian systems
Dmitri Burago, Dong Chen, Sergei Ivanov
Given any symplectomorphism on which is close to the identity, and any completely integrable Hamiltonian system in the proper dimension, we…
Key ideas behind perturbing any completely integrable Hamiltonian system obtaining volume entropy non-expansiveness
Dmitri Burago, Dong Chen, Sergei Ivanov
This paper is an announcement of a result followed with explanations of some ideas behind. The proofs will appear elsewhere. Our goal is to construct a Hamiltonian perturbation of…
Finsler perturbation with nondense geodesics with irrational directions
Dmitri Burago, Dong Chen
We show that given any Liouville direction and flat Finsler torus, one can make a -small perturbation on an arbitrarily small disc to get a nondense geodesic in the giv…
Examples of exponentially many collisions in a hard ball system
Dmitri Burago, Sergei Ivanov
Consider the system of identical hard balls in moving freely and colliding elastically. We show that there exist initial conditions such that the number of collis…