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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. ...
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. ...
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, ...
Piecewise Bounded Quadratic Systems in the Plane
(2014)
In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z=(X,Y). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure ...
Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
(2013-04-01)
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By ...
Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
(2013-04-01)
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By ...
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 ...
Synchronization and Non-Smooth Dynamical Systems
(Springer, 2014)