Now showing items 63-82 of 263

• #### Centers for a class of generalized quintic polynomial differential systems ﻿

(Elsevier, 2014)
We classify the centers of the polynomial differential systems in R2 of degree d ≥ 5 odd that in complex notation writes as z˙ = iz + (zz¯)d−5/2 (Az5 + Bz4z¯ + Cz3z¯2 + Dz2z¯3 + Ezz¯4 + Fz¯5), where A, B, C, D, E, F ∈ C ...
• #### Centers for generalized quintic polynomial differential systems ﻿

(Rocky Mountain Mathematics Consortium, 2017)
• #### Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors ﻿

(Elsevier, 2013)
First we provide new properties about the vanishing multiplicity of the inverse integrating factor of a planar analytic differential system at a focus. After we use this vanishing multiplicity for studying the cyclicity ...
• #### Cyclicity of Nilpotent Centers with Minimum Andreev Number ﻿

(Springer, 2019-10-07)
We consider polynomial families of real planar vector fields for which the origin is a monodromic nilpotent singularity having minimum Andree's number. There the centers are characterized by the existence of a formal inverse ...
• #### Cyclicity of polynomial nondegenerate centers on center manifolds ﻿

(Elsevier, 2018-11-09)
We consider polynomial families of ordinary differential equations on $\R^3$, parametrized by the admissible coefficients, for which the origin is an isolated singularity at which the linear part of the system has one ...
• #### Cyclicity of some symmetric nilpotent centers ﻿

(Elsevier, 2016)
In this work we present techniques for bounding the cyclicity of a wide class of monodromic nilpotent singularities of symmetric polynomial planar vector fields. The starting point is identifying a broad family of nilpotent ...