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Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
(Iop Publishing Ltd, 2015-02-01)
We consider a differential equation p over dot = X(p), p is an element of R-3, with discontinuous right-hand side and discontinuities occurring on a set Sigma. We discuss the dynamics of the sliding mode which occurs when, ...
Birth of limit cycles bifurcating from a nonsmooth center
(Elsevier B.V., 2014)
Birth of limit cycles bifurcating from a nonsmooth center
(Elsevier B.V., 2014)
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
(Siam Publications, 2014)
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 ...
Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
(Springer/plenum PublishersNew YorkEUA, 2013)
ON THREE-PARAMETER FAMILIES of FILIPPOV SYSTEMS - THE FOLD-SADDLE SINGULARITY
(World Scientific Publ Co Pte Ltd, 2012-12-01)
This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension-three fold-saddle singularities of Filippov systems, where a boundary-saddle ...
Limit cycles bifurcating from discontinuous centres
(Oxford Univ Press, 2017-08-01)
In this article, we study limit cycles in discontinuous piecewise linear vector fields in R-2 and R-3. More precisely, we address the problem of understanding the dynamics around a degenerated two-fold singularity in R-2 ...
ON THREE-PARAMETER FAMILIES of FILIPPOV SYSTEMS - THE FOLD-SADDLE SINGULARITY
(World Scientific Publ Co Pte Ltd, 2012-12-01)
This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension-three fold-saddle singularities of Filippov systems, where a boundary-saddle ...