Otro
Synchronization and Non-Smooth Dynamical Systems
Registro en:
Journal of Dynamics and Differential Equations. New York: Springer, v. 24, n. 1, p. 1-12, 2012.
1040-7294
10.1007/s10884-012-9239-4
WOS:000303885800001
Autor
Llibre, Jaume
da Silva, Paulo R.
Teixeira, Marco A.
Resumen
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. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)