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Mostrando ítems 1-7 de 7
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
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
On the Takens-Bogdanov Bifurcation in the Chua’s Equation
(Institute of Electronics, Information and Communication Engineers, 1999)
The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation ...
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
The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators
(Elsevier, 2018-10)
Among the boundary equilibrium bifurcations in planar continuous piecewise linear systems with two zones separated by a straight line, the focus–saddle bifurcation corresponds with a one-parameter transition from a situation ...
Artículo
Saddle-node canard cycles in slow-fast planar piecewise linear differential systems
(Elsevier, 2024-05)
By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed planar Piecewise Linear (PWL) differential systems are analyzed. The performed study involves both ...
Libro
Bifurcations in Continuous Piecewise Linear Differential Systems : Applications to Low-Dimensional Electronic Oscillators
(Springer Nature, 2022)
The book is devoted to the qualitative study of differential equations defined by piecewise linear (PWL) vector fields, mainly continuous, and presenting two or three regions of linearity. The study focuses on the more ...