Article ID Journal Published Year Pages File Type
4666705 Advances in Mathematics 2011 22 Pages PDF
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 asz˙=(λ+i)z+Az(d−n+1)/2z¯(d+n−1)/2+Bz(d+n+1)/2z¯(d−n−1)/2+Cz(d+1)/2z¯(d−1)/2+Dz(d−(2+j)n+1)/2z¯(d+(2+j)n−1)/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
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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