Local Integrability and Linearizability of Three-dimensional Lotka-Volterra Systems

Autor:	Aziz, Waleed, Christopher, Colin
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We investigate the local integrability and linearizability of three dimensional Lotka-Volterra equations at the origin. Necessary and sufficient conditions for both integrability and linearizability are obtained for (1,-1,1), (2,-1,1) and (1,-2,1)-resonance. To prove sufficiency, we mainly use the method of Darboux with extensions for inverse Jacobi multipliers, and the linearizability of a node in two variables with power-series arguments in the third variable.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.2773 Zobrazit plný text záznamu View this record from Arxiv