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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 1-2, Pages 128–153
DOI: https://doi.org/10.1134/S1560354711010059 (Mi rcd432) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity

Georg Ostrovski, Sebastian van Strien

Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK
Full-text PDF Citations (5)
DOI: https://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.
Keywords: Hamiltonian systems, non-smooth dynamics, Filippov systems, piecewise affine, Arnol’d diffusion, fictitious play, best-response dynamics, learning process.
Received: 14.10.2010
Accepted: 08.12.2010
Bibliographic databases:
Document Type: Article
MSC: 37Jxx, 37N40, 37Gxx, 34A36, 34A60, 91A20
Language: English
Citation: Georg Ostrovski, Sebastian van Strien, “Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity”, Regul. Chaotic Dyn., 16:1-2 (2011), 128–153
Citation in format AMSBIB
\Bibitem{OstVan11}
\by Georg Ostrovski, Sebastian van Strien
\paper Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 1-2
\pages 128--153
\mathnet{http://mi.mathnet.ru/rcd432}
\crossref{https://doi.org/10.1134/S1560354711010059}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2774384}
\zmath{https://zbmath.org/?q=an:1225.37122}
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  • https://www.mathnet.ru/eng/rcd/v16/i1/p128
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
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