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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 6, Pages 721–739
DOI: https://doi.org/10.1134/S1560354717060090 (Mi rcd285) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Integrable Deformations of the Bogoyavlenskij–Itoh Lotka–Volterra Systems

C.A. Evripidoua, P. Kassotakisb, P. Vanhaeckec

a Department of Mathematics and Statistics, La Trobe University, Melbourne, Victoria 3086, Australia
b Department of Mathematics and Statistics, University of Cyprus, Nicosia 1678, Cyprus
c Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS, Université de Poitiers, 86962 Futuroscope Chasseneuil Cedex, France
Citations (11)
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DOI: https://doi.org/10.1134/S1560354717060090
Abstract: We construct a family of integrable deformations of the Bogoyavlenskij–Itoh systems and construct a Lax operator with spectral parameter for it. Our approach is based on the construction of a family of compatible Poisson structures for the undeformed systems, whose Casimirs are shown to yield a generating function for the integrals in involution of the deformed systems.We show how these deformations are related to the Veselov–Shabat systems.
Keywords: Integrable systems, deformations.
Funding agency Grant number
Australian Research Council
The work of C.A.Evripidou was partially supported by a postdoctoral fellowship of the University of Cyprus and by the Australian Research Council.
Received: 19.09.2017
Accepted: 01.11.2017
Bibliographic databases:
Document Type: Article
MSC: 37J35, 39A22
Language: English
Citation: C.A. Evripidou, P. Kassotakis, P. Vanhaecke, “Integrable Deformations of the Bogoyavlenskij–Itoh Lotka–Volterra Systems”, Regul. Chaotic Dyn., 22:6 (2017), 721–739
Citation in format AMSBIB
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\by C.A. Evripidou, P. Kassotakis, P. Vanhaecke
\paper Integrable Deformations of the Bogoyavlenskij–Itoh Lotka–Volterra Systems
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 6
\pages 721--739
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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