Article ID Journal Published Year Pages File Type
4628645 Applied Mathematics and Computation 2013 4 Pages PDF
Abstract

We characterize the integrability and the non-existence of periodic orbits for the 2-dimensional Kolmogorov systems of the formẋ=x(Pn(x,y)+Rm(x,y)),ẏ=y(Qn(x,y)+Rm(x,y)),where n and m   are positive integers and Pn,QnPn,Qn and RmRm are homogeneous polynomials of degree n,nn,n and m, respectively.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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