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)
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| Official URL: http://dx.doi.org/10.3934/jcd.2019011 |
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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 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 |
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| 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: | 16 Feb 2021 14:05 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/75267 (The current URI for this page, for reference purposes) |
| Christodoulidi, Helen: |
 https://orcid.org/0000-0003-1682-3127
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| Hone, Andrew N.W.: |
https://orcid.org/0000-0001-9780-7369
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| Kouloukas, Theodoros E.: |
https://orcid.org/0000-0002-9903-6788
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