Heteroclinic cycles between unstable attractors

H.W. Broer, K. Efstathiou and E. Subramanian
Nonlinearity, 21(6), pp. 1385-1410, 2008
DOI: 10.1088/0951-7715/21/6/014

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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.