9 citations · 16 across the 4 of their papers we have counts for
4 papers · 1 filter
Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics
David Reyner-Parra, Carles Bonet, Teresa M. Seara +1
Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain acti…
Novel slow-fast behaviour in an oscillator driven by a frequency-switching force
Carles Bonet, Mike R. Jeffrey, Pau Martín +1
When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemin…
Ageing of an oscillator due to frequency switching
Carles Bonet, Mike R. Jeffreyy, Pau Martin +1
If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional osc…
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Carles Bonet-Reves, Tere M. Seara, Enric Fossas +1
Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the d…