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Synchronization and Non-Smooth Dynamical Systems
(Springer, 2012-03-01)
In this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. ...
Smoothing quantile regressions
(2018-04-08)
We propose to smooth the entire objective function rather than only the check function in a linear quantile regression context. We derive a uniform Bahadur-Kiefer representation for the resulting convolution-type kernel ...
Smoothing quantile regressions
(2017)
We propose to smooth the entire objective function rather than only the check function in a linear quantile regression context. We derive a uniform Bahadur-Kiefer representation for the resulting convolution-type kernel ...
Structural stability and normal forms of piecewise smooth vector fields on R-3
(Kossuth Lajos Tudomanyegyetem, 2015-01-01)
The main goal of this paper is to exhibit normal forms of generic locally structurally stable piecewise smooth vector fields on R-3. Besides, we construct the homeomorphism that gives the topological equivalence between ...
Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields
(World Scientific Publ Co Pte Ltd, 2014-07-01)
In this paper, we are dealing with piecewise smooth vector fields in a 2D-manifold. In such a scenario, the main goal of this paper is to exhibit the homeomorphism that gives the topological equivalence between a codimension ...
Chaotic planar piecewise smooth vector fields with non-trivial minimal sets
(2014)
In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and the concept of orientable minimality is ...
Piecewise smooth vector fields in ℝ3 at infinity
(2014-11-25)
In this work we study the dynamics at infinity of a piecewise smooth vector fields in ℝ3. We provide conditions for the 24-parameter family to undergo a local bifurcations of codimension zero and one at infinity. These ...
Poincaré recurrence theorem for non-smooth vector fields
(2017-04-01)
In this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincaré ...
Synchronization and Non-Smooth Dynamical Systems
(Springer, 2012-03-01)
In this article we establish an interaction between non-smooth systems, geometric singular perturbation theory and synchronization phenomena. We find conditions for a non-smooth vector fields be locally synchronized. ...
Smooth semi-Lipschitz functions and almost isometries between Finsler manifolds
(Elsevier, 2020)
The convex cone SC1
SLip(X) of real-valued smooth semi-Lipschitz functions on a Finsler
manifold X is an order-algebraic structure that captures both the differentiable and the quasi-metric
feature of X. In this work ...