Bogoyavlensky-Volterra and Birkhoff integrable systems

Damianou, Pantelis A.; Kouzaris, S. P.

doi:10.1016/j.physd.2004.03.009

dc.contributor.author	Damianou, Pantelis A.	en
dc.contributor.author	Kouzaris, S. P.	en
dc.creator	Damianou, Pantelis A.	en
dc.creator	Kouzaris, S. P.	en
dc.date.accessioned	2019-12-02T10:34:42Z
dc.date.available	2019-12-02T10:34:42Z
dc.date.issued	2004
dc.identifier.uri	http://gnosis.library.ucy.ac.cy/handle/7/56706
dc.description.abstract	In this paper we examine an interesting connection between the generalized Volterra lattices of Bogoyavlensky and a special case of an integrable system defined by Sklyanin. The Sklyanin system happens to be one of the cases in the classification of Kozlov and Treshchev of Birkhoff integrable Hamiltonian systems. Using this connection we demonstrate the integrability of the system and define a new Lax pair representation. In addition, we comment on the bi-Hamiltonian structure of the system. © 2004 Elsevier B.V. All rights reserved.	en
dc.source	Physica D: Nonlinear Phenomena	en
dc.source.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042853450&doi=10.1016%2fj.physd.2004.03.009&partnerID=40&md5=10ce0ef9dd691171338de22fdd70b243
dc.subject	Algebra	en
dc.subject	Poisson distribution	en
dc.subject	Differential equations	en
dc.subject	Hamiltonians	en
dc.subject	Mathematical transformations	en
dc.subject	Vectors	en
dc.subject	Polynomials	en
dc.subject	Integration	en
dc.subject	Toda lattice	en
dc.subject	Poisson brackets	en
dc.subject	Toda lattices	en
dc.subject	Birkhoff integrable systems	en
dc.subject	Bogoyavlensky-Volterra lattices	en
dc.title	Bogoyavlensky-Volterra and Birkhoff integrable systems	en
dc.type	info:eu-repo/semantics/article
dc.identifier.doi	10.1016/j.physd.2004.03.009
dc.description.volume	195
dc.description.issue	1-2
dc.description.startingpage	50
dc.description.endingpage	66
dc.author.faculty	Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.department	Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtype	Article	en
dc.description.notes	<p>Cited By :6</p>	en
dc.source.abbreviation	Phys D Nonlinear Phenom	en
dc.contributor.orcid	Damianou, Pantelis A. [0000-0003-3399-9837]
dc.gnosis.orcid	0000-0003-3399-9837

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