Stable piecewise polynomial vector fields

Let $N={y>0}$ and $S={y<0}$ be the semi-planes of $mathbb{R}^2$ having as common boundary the line $D={y=0}$. Let $X$ and $Y$ be polynomial vector fields defined in $N$ and $S$, respectively, leading to a discontinuous piecewise polynomial vector field $Z=(X,Y)$. This work pursues the...

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Bibliographic Details
Main Authors: Claudio Pessoa, Jorge Sotomayor
Format: Article
Language:English
Published: Texas State University 2012-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/165/abstr.html