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A new class of integrable Lotka–Volterra systems

Christodoulidi, Helen, Hone, Andrew N.W., Kouloukas, Theodoros E. (2019) A new class of integrable Lotka–Volterra systems. Journal of Computational Dynamics, 6 (2). pp. 223-237. ISSN 2158-2491. (doi:10.3934/jcd.2019011) (KAR id:75267)


A parameter-dependent class of Hamiltonian (generalized) Lotka–Volterra systems is considered. We prove that this class contains Liouville integrable as well as superintegrable cases according to particular choices of the parameters. We determine sufficient conditions which result in integrable behavior, while we numerically explore the complementary cases, where these analytically derived conditions are not satisfied.

Item Type: Article
DOI/Identification number: 10.3934/jcd.2019011
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Theodoros Kouloukas
Date Deposited: 09 Jul 2019 11:33 UTC
Last Modified: 04 Mar 2024 17:59 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

Hone, Andrew N.W..

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Kouloukas, Theodoros E..

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