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Mostrando ítems 1-10 de 18
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
Bifurcación Silla-Nodo de Conos Invariantes en sistemas lineales a trozos Vía Bifurcación Foco-Centro-Ciclo Límite
(Sema, 2008)
En este trabajo se considera la existencia de conos invariantes en sistemas dinámicos continuos tridimensionales lineales a trozos, dada la relevancia que estas variedades invariantes tienen en la determinación de la ...
Artículo
On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
(IOP Science, 2008)
In this paper we study the non-existence and the uniqueness of limit cycles for the Liénard differential equation of the form x'' − f(x)x' + g(x) = 0 where the functions f and g satisfy xf(x) > 0 and xg(x) > 0 for x ≠ 0 ...
Artículo
Hopf-Like Bifurcations in Planar Piecewise Linear Systems
(Universitat Autònoma de Barcelona, Servei de Publicacions, 1997)
Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are ...
Artículo
Canonical Discontinuous Planar Piecewise Linear Systems
(Society of Industrial and Applied Mathematics, 2012)
The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity zones is considered. Under generic conditions that amount to the boundedness of the sliding set, ...
Artículo
Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach
(WorldScientific Open Access, 2008)
Boundary equilibrium bifurcations in piecewise smooth discontinuous systems are characterized by the collision of an equi- librium point with the discontinuity surface. Generically, these bi- furcations are of codimension ...
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
Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
(Society for Industrial and Applied Mathematics, 2016)
Canard-induced phenomena have been extensively studied in the last three decades, from both the mathematical and the application viewpoints. Canards in slow-fast systems with (at least) two slow variables, especially ...
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 ...