Artículos de revistas
Synchronization and Non-Smooth Dynamical Systems
Journal of Dynamics and Differential Equations. New York: Springer, v. 24, n. 1, p. 1-12, 2012.
Universidade Estadual Paulista (UNESP)
Univ Autonoma Barcelona
Universidade Estadual de Campinas (UNICAMP)
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.