Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666705 | Advances in Mathematics | 2011 | 22 Pages |
Abstract
In this paper we classify the centers localized at the origin of coordinates, and their isochronicity for the polynomial differential systems in R2 of degree d that in complex notation z=x+iy can be written aszË=(λ+i)z+Az(dân+1)/2z¯(d+nâ1)/2+Bz(d+n+1)/2z¯(dânâ1)/2+Cz(d+1)/2z¯(dâ1)/2+Dz(dâ(2+j)n+1)/2z¯(d+(2+j)nâ1)/2, where j is either 0 or 1. If j=0 then d⩾5 is an odd integer and n is an even integer satisfying 2⩽n⩽(d+1)/2. If j=1 then d⩾3 is an integer and n is an integer with converse parity with d and satisfying 0
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jaume Llibre, Clà udia Valls,