33 citations · 33 across the 2 of their papers we have counts for
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math.DS2019
Local theory for spatio-temporal canards and delayed bifurcations
Daniele Avitabile, Mathieu Desroches, Romain Veltz +1
We present a rigorous framework for the local analysis of canards and slow passages through bifurcations in a wide class of infinite-dimensional dynamical systems with time-scale s…
nlin.PS2019
Bumps and Oscillons in Networks of Spiking Neurons
Helmut Schmidt, Daniele Avitabile
We study localized patterns in an exact mean-field description of a spatially-extended network of quadratic integrate-and-fire (QIF) neurons. We investigate conditions for the exis…