# Piecewise linear hamiltonian flows associated to zero-sum games: Transition combinatorics and questions on ergodicity

@article{Ostrovski2011PiecewiseLH,
title={Piecewise linear hamiltonian flows associated to zero-sum games: Transition combinatorics and questions on ergodicity},
author={Georg Ostrovski and Sebastian van Strien},
journal={Regular and Chaotic Dynamics},
year={2011},
volume={16},
pages={128-153}
}
• Published 9 November 2010
• Mathematics
• Regular and Chaotic Dynamics
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.
11 Citations

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