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math.CA2011
On the structural stability of planar quasihomogeneous polynomial vector fields
Regilene D. S. Oliveira, Yulin Zhao
Denote by the space of all planar -quasihomogeneous vector fields of degree endowed with the coefficient topology. In this paper we characterize the set $Ω_{pq…
math.CA2011
Limit cycles for planar semi-quasi-homogeneous polynomial vector fields
Yulin Zhao
This paper is concerned with the limit cycles for planar semi-quasi-homogeneous polynomial systems. We give some explicit criteria for the nonexistence and existence of periodic or…