Synchronization and Non-Smooth Dynamical Systems
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Data
2012-03-01
Autores
Llibre, Jaume
da Silva, Paulo R. [UNESP]
Teixeira, Marco A.
Título da Revista
ISSN da Revista
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Editor
Springer
Resumo
In this article we establish an interaction between non-smooth 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 synchronizationwhich occurs in the regularization of the fold-fold case. We restrict ourselves to the 3-dimensional systems (l = 3) and consider the case known as a T-singularity.
Descrição
Palavras-chave
Regularization, Vector field, Constrained system, Singular perturbation, Non-smooth vector field, Sliding vector field, Synchronization
Como citar
Journal of Dynamics and Differential Equations. New York: Springer, v. 24, n. 1, p. 1-12, 2012.