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Uni-Directional Synchronization And Frequency Difference Locking Induced By A Heteroclinic Ratchet

Özkan Karabacak
A system of four coupled oscillators that exhibits unusual synchronization phenomena has been analyzed. Existence of a one-way heteroclinic network, called heteroclinic ratchet, gives rise to uni-directional (de)synchronization between certain groups of cells. Moreover, we show that locking in frequency differences occur when a small white noise is added to the dynamics of oscillators.
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