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Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
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
Аннотация:
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.
Ключевые слова:
Integrable systems, deformations.
Поступила в редакцию: 19.09.2017 Принята в печать: 01.11.2017
Образец цитирования:
C.A. Evripidou, P. Kassotakis, P. Vanhaecke, “Integrable Deformations of the Bogoyavlenskij–Itoh Lotka–Volterra Systems”, Regul. Chaotic Dyn., 22:6 (2017), 721–739
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd285 https://www.mathnet.ru/rus/rcd/v22/i6/p721
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