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Synchronization and Non-Smooth Dynamical Systems
(Springer, 2014)
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
(2016-06-01)
Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the recent theory of dynamical systems and applied sciences. The goal of this paper is to study the bifurcation of limit cycles ...
Regularization and singular perturbation techniques for non-smooth systems
(Elsevier B.V., 2014)
Synchronization and Non-Smooth Dynamical Systems
(SpringerNew YorkEUA, 2012)
Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field
(2017-01-01)
We consider a piecewise smooth vector field in R3, where the switching set is on an algebraic variety expressed as the zero of a Morse function.We depart from a model described by piecewise constant vector fields with a ...
Regularization and singular perturbation techniques for non-smooth systems
(Elsevier Science BvAmsterdamHolanda, 2012)
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2012-06-01)
This article extends results contained in Buzzi et al. (2006) [4], Llibre et al. (2007, 2008) [12,13] concerning the dynamics of non-smooth systems. In those papers a piecewise C-k discontinuous vector field Z on R-n is ...
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2012-06-01)
This article extends results contained in Buzzi et al. (2006) [4], Llibre et al. (2007, 2008) [12,13] concerning the dynamics of non-smooth systems. In those papers a piecewise C-k discontinuous vector field Z on R-n is ...
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 ...