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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 ...
Peixoto's Theorem for vector fields on S2 with impasse points
(2013-09-01)
The structural stability of vector fields with impasse regular curves on S2 is studied and a version of Peixoto's Theorem is established. Moreover a global analysis of normal forms of the constrained systems. A(x).ẋ=F(x) ...
Sliding Vector Fields via Slow-Fast Systems
(Belgian Mathematical Soc TriompheBrusselsBélgica, 2008)
Sliding Vector Fields via Slow-Fast Systems
(Belgian Mathematical Soc Triomphe, 2014)
Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R3: A case study in power electronics
(2017-05-15)
In this paper, Hopf and homoclinic bifurcations that occur in the sliding vector field of switching systems in R3 are studied. In particular, a dc–dc boost converter with sliding mode control and washout filter is analyzed. ...
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 ...
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. ...
Codimension two singularities of sliding vector fields
(Societe Mathematique BelgiqueBrusselsBélgica, 1999)
Regularization and singular perturbation techniques for non-smooth systems
(Elsevier Science BvAmsterdamHolanda, 2012)