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Synchronization and Non-Smooth Dynamical Systems
(Springer, 2012-03-01)
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. ...
Regularization and singular perturbation techniques for non-smooth systems
(Elsevier B.V., 2012-11-15)
This paper is concerned with some aspects of the qualitative-geometric theory of non-smooth systems. We present a survey of the state of the art on the connection between the regularization process of nonsmooth vector ...
Piecewise linear perturbations of a linear center
(2013-09-01)
This paper is mainly devoted to the study of the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight ...
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
(Iop Publishing Ltd, 2015)
Sliding Vector Fields via Slow-Fast Systems
(Belgian Mathematical Soc Triomphe, 2008-01-01)
This paper concerns differential equation systems on R(n) with discontinuous right-hand sides. We deal with non-smooth vector fields in R(n) having a codimension-one submanifold M as its discontinuity set. After a ...