12 citations · 26 across the 7 of their papers we have counts for
8 papers · 1 filter
Slow passage through a transcritical bifurcation in piecewise linear differential systems: canard explosion and enhanced delay
Alberto Pérez-Cervera, Antonio E. Teruel
In this paper we analyse the phenomenon of the slow passage through a transcritical bifurcation with special emphasis in the maximal delay as a function of the…
Slow passage through a Hopf-like bifurcation in piecewise linear systems: application to elliptic bursting
Jordi Penalva, Mathieu Desroches, Antonio E. Teruel +1
The phenomenon of slow passage through a Hopf bifurcation is ubiquitous in multiple-timescale dynamical systems, where a slowly-varying quantity replacing a static parameter induce…
Saddle-node canard cycles in planar piecewise linear differential systems
Victoriano Carmona, Soledad Fernández-García, Antonio E. Teruel
By applying a singular perturbation approach, canard limit cycles exhibited by a general family of singularly perturbed planar piecewise linear (PWL) differential systems are analy…
Poincaré compactification for non-polynomial vector fields
José Luis Bravo, Manuel Fernández, Antonio E. Teruel
In this work a theorical framework to apply the Poincaré compactification technique to locally Lipschitz continuous vector fields is developed. It is proved that these vectors fiel…
Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals
Adrian C. Murza, Antonio E. Teruel, Arghir D. Zarnescu
We consider the Beris-Edwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on…
First integrals of a class of -dimensional Lotka-Volterra differential systems
Jaume Llibre, Adrian C. Murza, Antonio E. Teruel
Lotka-Volterra model is one of the most popular in biochemistry. It is used to analyze cooperativity, autocatalysis, synchronization at large scale and especially oscillatory behav…