Synchronization and Non-Smooth Dynamical Systems

被引：2
|
作者：
Llibre, Jaume [2 ]
da Silva, Paulo R. [1 ]
Teixeira, Marco A. [3 ]
机构：
[1] Univ Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 Sao Paulo, Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[3] Univ Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2012年 / 24卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Regularization; Vector field; Constrained system; Singular perturbation; Non-smooth vector field; Sliding vector field; Synchronization; DISCONTINUOUS VECTOR-FIELDS;
D O I：
10.1007/s10884-012-9239-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1 / 12
页数：12
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