Hamiltonian structure of the Lotka-Volterra equations
| dc.citation.epage | 28 | en_US |
| dc.citation.issueNumber | 1 | en_US |
| dc.citation.spage | 27 | en_US |
| dc.citation.volumeNumber | 145 | en_US |
| dc.contributor.author | Nutku, Y. | en_US |
| dc.date.accessioned | 2016-02-08T10:56:25Z | |
| dc.date.available | 2016-02-08T10:56:25Z | |
| dc.date.issued | 1990 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | The Lotka-Volterra equations governing predator-prey relations are shown to admit Hamiltonian structure with respect to a generalized Poisson bracket. These equations provide an example of a system for which the naive criterion for the existence of Hamiltonian structure fails. We show further that there is a three-component generalization of the Lotka-Volterra equations which is a bi-Hamiltonian system. © 1990. | en_US |
| dc.identifier.doi | 10.1016/0375-9601(90)90270-X | en_US |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.uri | http://hdl.handle.net/11693/26204 | |
| dc.language.iso | English | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/0375-9601(90)90270-X | en_US |
| dc.source.title | Physics Letters A | en_US |
| dc.title | Hamiltonian structure of the Lotka-Volterra equations | en_US |
| dc.type | Article | en_US |
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