Analysis of the asynchronous state in networks of strongly coupled oscillators

van Vreeswijk, C.A.

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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