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Piecewise linear hamiltonian flows associated to zero-sum games : transition combinatorics and questions on ergodicity
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Ostrovski, Georg and Strien, Sebastian van (2011) Piecewise linear hamiltonian flows associated to zero-sum games : transition combinatorics and questions on ergodicity. Regular and Chaotic Dynamics, Vol.16 (No.1-2). pp. 128-153. doi:10.1134/S1560354711010059 ISSN 1560-3547.
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Official URL: http://dx.doi.org/10.1134/S1560354711010059
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Hamiltonian systems, Piecewise linear topology, Dynamics, Vector fields | ||||
Journal or Publication Title: | Regular and Chaotic Dynamics | ||||
Publisher: | M A I K Nauka - Interperiodica | ||||
ISSN: | 1560-3547 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.1-2 | ||||
Page Range: | pp. 128-153 | ||||
DOI: | 10.1134/S1560354711010059 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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