Heteroclinic cycles between unstable attractors

H. W. Broer, K. Efstathiou, E. Subramanian

Nonlinearity, 21(6), 1385-1410 (2008)
10.1088/0951-7715/21/6/014
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Abstract

We consider networks of pulse coupled linear oscillators with non-zero delay where the coupling between the oscillators is given by the Mirollo-Strogatz function. We prove the existence of heteroclinic cycles between unstable attractors for a network of four oscillators and for an open set of parameter values.