205 citations · 283 across the 5 of their papers we have counts for
5 papers
Transition to Reconstructibility in Weakly Coupled Networks
Benedict J. Lünsmann, Christoph Kirst, Marc Timme
Across scientific disciplines, thresholded pairwise measures of statistical dependence between time series are taken as proxies for the interactions between the dynamical units of…
Dynamic information routing in complex networks
Christoph Kirst, Marc Timme, Demian Battaglia
Flexible information routing fundamentally underlies the function of many biological and artificial networks. Yet, how such systems may specifically communicate and dynamically rou…
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…
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…
Bifurcation From Networks of Unstable Attractors to Heteroclinic Switching
Christoph Kirst, Marc Timme
We present a dynamical system that naturally exhibits two unstable attractors that are completely enclosed by each others basin volume. This counter-intuitive phenomenon occurs in…