A new class of integrable Lotka-Volterra systems
| Autor: | Andrew N.W. Hone, Helen Christodoulidi, Theodoros E. Kouloukas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Integrable system Computational Mechanics G120 Applied Mathematics 01 natural sciences 010305 fluids & plasmas New class Computational Mathematics symbols.namesake 0103 physical sciences symbols Quantitative Biology::Populations and Evolution 010306 general physics Hamiltonian (quantum mechanics) QA Mathematics F340 Mathematical & Theoretical Physics |
| ISSN: | 2158-2491 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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