Christodoulidi, Helen, Hone, Andrew N. W. and Kouloukas, Theodoros E. (2019) A new class of integrable Lotka-Volterra systems. Journal of Computational Dynamics, 6 (2). pp. 223-237. ISSN 2158-2491
Full content URL: http://dx.doi.org/10.3934/jcd.2019011
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Item Type: | Article |
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Item Status: | Live Archive |
Abstract
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 deter-
mine sufficient conditions which result in integrable behavior, while we numerically explore the complementary cases, where these analytically derived conditions are not satisfied.
Keywords: | Lotka-Volterra systems, Integrable systems |
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Subjects: | G Mathematical and Computer Sciences > G120 Applied Mathematics F Physical Sciences > F340 Mathematical & Theoretical Physics |
Divisions: | College of Science > School of Mathematics and Physics |
ID Code: | 37613 |
Deposited On: | 04 Oct 2019 07:56 |
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