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Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
(2019-09-05)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. In order to get our ...
Sliding Vector Fields For Non-smooth Dynamical Systems Having Intersecting Switching Manifolds
(IOP PUBLISHING LTDBRISTOL, 2015)
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, ...
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. ...
Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation
(2020-01-01)
We consider piecewise smooth vector fields (PSVF) defined in open sets M⊆ Rn with switching manifold being a smooth surface Σ. We assume that M\ Σ contains exactly two connected regions, namely Σ + and Σ -. Then, the PSVF ...
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
(Iop Publishing Ltd, 2015)
Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
(Iop Publishing Ltd, 2015)
Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
(2021-06-01)
Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov ...
An Overview On Non-ideal Vibrations
(, 2003)