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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 ...
Sliding vector fields via slow-fast systems
(2008-01-01)
This paper concerns differential equation systems on ℝn with discontinuous right-hand sides. We deal with non-smooth vector fields in ℝ having a codimension-one submanifold M as its discontinuity set. After a regularization ...
Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
(Springer/plenum PublishersNew YorkEUA, 2013)
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2014)
Poincare Recurrence Theorem For Non-smooth Vector Fields
(Springer Basel AGBasel, 2017)
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, ...
Combing the Hairy Ball Using a Vector Field Without Equilibria
(2019-01-01)
The main goal of this paper is to present a piecewise smooth vector field tangent to S2 without equilibrium points. Moreover, we will show that this vector field contains a chaotic non-trivial minimal set.
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...