16 citations · 46 across the 9 of their papers we have counts for
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math.DS2013
Border collision bifurcations of stroboscopic maps in periodically driven spiking models
Albert Granados, Martin Krupa, Frédérique Clément
In this work we consider a general non-autonomous hybrid system based on the integrate-and-fire model, widely used as simplified version of neuronal models and other types of excit…
math.DS2013
Firing-rate, symbolic dynamics and frequency dependence in periodically driven spiking models: a piecewise-smooth approach
Albert Granados, Maciej Krupa
In this work we consider a periodically forced generic integrate-and-fire model with a unique attracting equilibrium in the subthreshold dynamics and study the dependence of the fi…
math.DS2013★ 16 cited
The scattering map in two coupled piecewise-smooth systems, with numerical application to rocking blocks
A. Granados, S. J. Hogan, T. M. Seara
We consider a non-autonomous dynamical system formed by coupling two piecewise-smooth systems in $\RR^2$ through a non-autonomous periodic perturbation. We study the dynamics aroun…