Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity

Details Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity

2010-11-09

arxiv.org/abs/1011.2018v2

Mathematics

Dynamical Systems

30 pages, 19 figures

Scientific paper

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.

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