Connection between the existence of first integrals and the painlevé property in two-dimensional lotka-volterra and quadratic systems

Autor:	Keshlan S. Govinder, Marc R. Feix, P. G. L. Leach, D. D. Hua, Laurent Cairó
Rok vydání:	1996
Předmět:	Discrete mathematics Pure mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Quadratic equation General Mathematics First integrals General Engineering General Physics and Astronomy Quadratic system Mathematics
Zdroj:	Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 452:859-880
ISSN:	1471-2946 1364-5021
DOI:	10.1098/rspa.1996.0043
Popis:	Taking advantage of the considerable amount of work done in the search for first integrals (invariants) for the two-dimensional Lotka-Volterra system and the quadratic system (lvs and qs), we compare the relations needed to exhibit invariants (one for the lvs, at least three for the qs) to the two conditions of the Painleve test (index and compatibility). We find that, eventually restricting the invariants to those which are analytic (all exponents integers) and thereby adding new constraints, these constraints always coalesce with the two Painleve conditions. We conclude that straightforward application of the Painleve test picks up only these simple analytic invariants and that possession of the Painleve property is too strong a condition for the existence of the invariants.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b5fa2dfecf38d8d35cb6e3347f08b49e https://doi.org/10.1098/rspa.1996.0043 Zobrazit plný text záznamu