343 citations · 630 across the 7 of their papers we have counts for
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nlin.CD2007★ 24 cited
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…
cond-mat.dis-nn2007★ 105 cited
Stable Irregular Dynamics in Complex Neural Networks
Sven Jahnke, Raoul-Martin Memmesheimer, Marc Timme
For infinitely large sparse networks of spiking neurons mean field theory shows that a balanced state of highly irregular activity arises under various conditions. Here we analytic…