Integrability via Reversibility
Dynamical Systems
2015-12-14 v2
Abstract
A class of left-invariant second order reversible systems with functional parameter is introduced which exhibits the phenomenon of robust integrability: an open and dense subset of the phase space is filled with invariant tori carrying quasi-periodic motions, and this behavior persists under perturbations within the class. Real-analytic volume preserving systems are found in this class which have positive Lyapunov exponents on an open subset, and the complement filled with invariant tori.
Keywords
Cite
@article{arxiv.1502.03074,
title = {Integrability via Reversibility},
author = {Maciej P. Wojtkowski},
journal= {arXiv preprint arXiv:1502.03074},
year = {2015}
}