Proceedings of Neural, Parallel, and Scientific Computations 4 (2010) xx-xx PHASE OSCILLATOR NETWORK WITH PIECEWISE-LINEAR DYNAMICS

We consider a Filippov system formed from N coupled phase oscillators similar to the Kuramoto model but using a periodic sawtooth in place of the sine wave. A Hebbian rule based interaction provides for a phase oscillator associative memory network where the memorized patterns are stored as phase-locked limit-cycle attractors. AMS (MOS) Subject Classification. 37N25.