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Mostrando ítems 1-10 de 12
Artículo
A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators
(Springer, 2018-12)
The dynamical richness of 4D memristor oscillators has been recently studied in several works, showing different regimes, from stable oscillations to chaos. Typically, only numerical simulations have been reported and so ...
Artículo
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness
(Springer, 2023-07)
We close the problem of the existence of crossing period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness. In fact, a characterization for the existence of such objects is provided ...
Artículo
Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
(Society for Industrial and Applied Mathematics, 2008)
The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems. ...
Artículo
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
(Elsevier, 2023-01)
In this work we deal with the canard regime as a part of a canard explosion taking place in a PWL version of the van der Pol equation having a flat critical manifold. The proposed analysis involves the identification of ...
Artículo
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator
(Elsevier, 2020-08)
In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three zones is analyzed. By adapting the so-called closing equations method, which constitutes a suitable ...
Artículo
Saddle-node of limit cycles in planar piecewise linear systems and applications
(American Institute of Mathematical Sciences (AIMS), 2019-05)
In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems with three zones. The bifurcation arises from the perturbation of a non-generic situation, where ...
Artículo
Hopf bifurcation at infinity in 3D Relay systems
(Elsevier, 2023-02)
A complete analysis of the limit cycle bifurcation from infinity in 3D Relay systems, which belong to the class of three-dimensional symmetric discontinuous piecewise linear systems with two zones, is presented. A criticality ...
Artículo
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
(Elsevier, 2013-10)
Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems. New results are obtained for systems with ...
Artículo
The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
(Society for Industrial and Applied Mathematics, 2005)
The birth of limit cycles in 3D (three-dimensional) piecewise linear systems for the relevant case of symmetrical oscillators is considered. A technique already used by the authors in planar systems is extended to cope ...
Artículo
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
(Elsevier, 2020-01)
We consider continuous piecewise linear systems in R3 with two zones under the assumption of having a linear center in the invariant manifold of the point at infinity. A specific conic projection is introduced, so that it ...