Continuous pump and transmission of charges such as calcium, potassium, sodium in the
cell can induce time-varying electromagnetic field, and the induced electric field can further …

The paper investigates the relaxation oscillations of a classical predator–prey model, based
on the natural ecological assumption that the maximum per capita birth rate of the predator …

In this paper, we have completely studied a four-parameter family of continuous piecewise
linear differential systems with three linear regions and no symmetry in the compactification …

The first author is supported by Ministerio de Economía y Competitividad through the project
MTM2015-65608-P and by Junta de Andaucía by project P12-FQM-1658. The second …

We prove an infinite dimensional integration by parts formula on the law of the modulus of
the Brownian bridge BB=(BB_t) _ 0 ≤ t ≤ 1 BB=(BB t) 0≤ t≤ 1 from 0 to 0 in use of …

In the study of brain connectivity, an accessible and convenient way to unveil local functional
structures is to infer the time trace of synaptic conductances received by a neuron by using …

We consider smooth families of planar polynomial vector fields $\{X_\mu\} _ {\mu\in\Lambda}
$, where $\Lambda $ is an open subset of $\mathbb {R}^ N $, for which there is a hyperbolic …

This work deals with three current and relevant problems in the qualitative theory of
differential equations. The first one is the center problem on a center manifold of differential …

[eng] n this thesis, we propose a piecewise linear version of the original planar Morris-Lecar
model which we study qualitatively and for which we characterize several bifurcations …

Bifurcations are qualitative changes in the phase portrait of families of dif-2 ferential
equations as the parameter varies. The simplest cases are those 3 involving equilibria. The …