Local integrability and linearizability of three-dimensional Lotka–Volterra systems
نویسندگان
چکیده
منابع مشابه
Local integrability and linearizability of three-dimensional Lotka-Volterra systems
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 ...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2012
ISSN: 0096-3003
DOI: 10.1016/j.amc.2012.10.051