343 citations · 5.3k across the 112 of their papers we have counts for
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math.DS2008
Partial Reset in Pulse-Coupled Oscillators
Christoph Kirst, Marc Timme
Pulse-coupled threshold units serve as paradigmatic models for a wide range of complex systems. When the state variable of a unit crosses a threshold, the unit sends a pulse that i…
math.DS2008★ 63 cited
The simplest problem in the collective dynamics of neural networks: Is synchrony stable?
Marc Timme, Fred Wolf
For spiking neural networks we consider the stability problem of global synchrony, arguably the simplest non-trivial collective dynamics in such networks. We find that even this si…
q-bio.NC2008★ 45 cited
Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset
Christoph Kirst, Theo Geisel, Marc Timme
The response of a neuron to synaptic input strongly depends on whether or not it has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial re…