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On some integrable discrete-time systems associated with the Bogoyavlensky lattices

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  • Papageorgiou, Vassilios G.
  • Nijhoff, Frank W.

Abstract

A new class of integrable lattice systems is introduced which are the time-discretisations of the Bogoyavlensky systems. Finite-dimensional reductions of these systems are considered that give rise to integrable mappings. Furthermore, the similarity reduction is shown to lead to higher-order q-difference generalisations of the discrete Painlevé I equation.

Suggested Citation

  • Papageorgiou, Vassilios G. & Nijhoff, Frank W., 1996. "On some integrable discrete-time systems associated with the Bogoyavlensky lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 228(1), pages 172-188.
    • Handle: RePEc:eee:phsmap:v:228:y:1996:i:1:p:172-188
    DOI: 10.1016/0378-4371(95)00440-8
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    1. Ken'ichi Imai, 1993. "The Global Network of Japanese Firms," Japanese Economy, Taylor & Francis Journals, vol. 21(5), pages 3-19.
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