Now showing items 1-13 of 13

• #### A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields ﻿

(Springer, 2021)
In this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In ...
• #### Analytic integrability around a nilpotent singularity: The non-generic case ﻿

(American Institute of Mathematical Sciences, 2020)
Recently, in [9] is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. In this work we solve the remaining case completing the ...
• #### Analytic integrability of cubic-linear planar polynomial differential systems ﻿

(Elsevier, 2016)
For the cubic–linear polynomial planar differential systems with a finite singular point, we classify the ones which have a local analytic first integral around the origin and the ones that have a global analytic first integral.
• #### Analytic reducibility of nondegenerate centers: Cherkas systems ﻿

(Bolyai Institute, University of Szeged; Hungarian Academy of Sciences, 2016)
In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible. x˙=y,y˙=P0(x)+P1(x)y+P2(x)y2, We also study the ...
• #### Center conditions and limits cycles for bilienard systems ﻿

(Texas State University, 2017)
In this article we study the center problem for polynomial BiLiénard systems of degree n. Computing the focal values and using Gröbner bases we end the center conditions for such systems for n = 6. We also establish ...
• #### Center conditions for generalized polynomial Kukles systems ﻿

(American Institute of Mathematical Sciences, 2017)