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Piecewise bounded quadratic systems in the plane
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
da Silva, Clayton Eduardo Lente (UNESP(Brazil). Deparatamento de Matemática)
da Silva, Paulo Ricardo (UNESP(Brazil). Deparatamento de Matemática)

Date: 2014
Abstract: In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded.
Note: Número d'acord de subvenció MICINN/MTM 2008–03437
Note: Número d'acord de subvenció AGAUR/2009/SGR-410
Note: Número d'acord de subvenció EC/FP7/2012/316338
Note: Número d'acord de subvenció EC/FP7/2012/318999
Note: Agraïments: The second author is supported by CAPES, the third author is partially supported by CNPq, FAPESP and FP7-PEOPLE-2012-IRSES 318999. All authors are partially supported by the project PHB 2009-0025-PC.
Rights: Tots els drets reservats.
Language: Anglès.
Document: article ; recerca ; submittedVersion
Subject: Bounded quadratic systems ; Non-smooth dynamical systems ; Phase portrait ; Quadratic systems ; Sliding vector fields
Published in: Differential Equations and Dynamical Systems, 2014 , ISSN 0974-6870

DOI: 10.1007/s12591-014-0205-y


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

 Record created 2016-05-06, last modified 2019-02-03



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