Analysis of the asynchronous state in networks of strongly coupled
oscillators
Carl A. van Vreeswijk
Gatsby Computational Neuroscience Unit
University College London
submitted to Physical Review Letters
A general method is presented for the analysis of the asynchronous
state in networks of identical, all-to-all coupled, limit-cycle oscillators of arbitrary
dimension and with arbitrarily strong coupling. An example, involving integrate and fire
neurons with spike adaptation, exhibits a bifurcation to a synchronized bursting state for
strong feedback coupling. The analysis of this example shows that the method, proposed
here, can account for transitions that cannot be studied in the commonly used
phase-coupled approximation.
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