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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 ...
Non-smooth model of a frictionless and dry three-dimensional revolute joint with clearance for multibody system dynamics
(Pergamon-Elsevier Science Ltd, 2018-03)
Defects in kinematic joints notably influence the relative position and the dynamic response of the bodies in a multibody system. For example, clearance in joints produces impacts that generate wear and/or vibrations which ...
Piecewise Implicit Differential Systems
(2017-12-01)
In this article we deal with non-smooth dynamical systems expressed by a piecewise first order implicit differential equations of the form x˙=1,(y˙)2={g1(x,y)ifφ(x,y)≥0g2(x,y)ifφ(x,y)≤0,where g1, g2, φ: U→ R are smooth ...
Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
(Springer/plenum PublishersNew YorkEUA, 2013)
Some practical regards on the application of the harmonic balance method for hysteresis models
(2020-09-01)
Describing hysteretic systems with a closed-form solution is a challenging task due to some pitfalls regarding the non-smooth and memory effect mechanisms that do not permit, for example, to apply conventional frequency ...
Slow–fast systems and sliding on codimension 2 switching manifolds
(2019-01-01)
In this work, we consider piecewise smooth vector fields X defined in R n \ ∑, where Σ is a self-intersecting switching manifold. A double regularization of X is a 2-parameter family of smooth vector fields X ε.η , ε,η > ...
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 ...
Generic bifurcations of planar filippov systems via geometric singular perturbations
(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 low codimension of planar Filippov Systems
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)