On the indices of singular points for planar bounded piecewise smooth polynomial vector field
Li, Shimin (Hangzhou Normal University. School of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Sun, Xianbo (Hangzhou Normal University. School of Mathematics)

Additional title:	Planar bounded piecewise smooth polynomial vector field
Date:	2023
Abstract:	We prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bounded vector field ; Index of singular points ; Piecewise smooth polynomial vector field ; Stereographic projection
Published in:	Nonlinear Analysis: Hybrid Systems, Vol. 49 (August 2023) , art. 101350, ISSN 1751-570X

DOI: 10.1016/j.nahs.2023.101350

Available from: 2025-08-31 Postprint

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles