Synchronization and non-smooth dynamical systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Da Silva, Paulo R. (IBILCE-UNESP(Brazil). Departamento de Matemática)
Teixeira, Marco Antonio (IMECC-UNICAMP(Brazil))

Date:	2012
Abstract:	In this article we establish an interaction between nonsmooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. Moreover its regularization provide a singular perturbation problem with attracting critical manifold. We also state a result about the synchronization which occurs in the regularization of the fold-fold case. We restrict ourselves to the 3-dimensional systems (' = 3) and consider the case known as a T-singularity.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author and the third author were partially supported by a CNPq and FAPESP. All the authors are supported by the Int. Coop. Proj. CAPES/MECD-TQED II and PHB-2009-0025.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Regularization ; Vector field ; Constrained system ; Singular perturbation ; Non-smooth vector field ; Sliding vector field ; Synchronization
Published in:	Journal of dynamics and differential equations, Vol. 24 (2012) , p. 1-12, ISSN 1572-9222

DOI: 10.1007/s10884-012-9239-4

Postprint 14 p, 711.4 KB

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