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A codimension-two resonant bifurcation from a heteroclinic cycle with complex eigenvalues
Robust heteroclinic cycles between equilibria lose stability either through local bifurcations of their equilibria or through global bifurcations. This paper considers a global loss of stability termed a 'resonant' bifurcation. This bifurcation is usually associated with the birth or death of a nearby periodic orbit, and generically occurs in either a supercritical or subcritical manner. For a specific robust heteroclinic cycle between equilibria with complex eigenvalues we examine thedoi:10.1080/14689360600552928 fatcat:y3zneaodh5asjla5kqxedft6rq