Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
Dynamical Systems
2012-05-17 v2
Abstract
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit-structure of the flow of such a differential equation is surprisingly rich.
Keywords
Cite
@article{arxiv.1011.2018,
title = {Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity},
author = {Georg Ostrovski and Sebastian van Strien},
journal= {arXiv preprint arXiv:1011.2018},
year = {2012}
}
Comments
30 pages, 19 figures