We study two identical FitzHugh-Nagumo oscillators which are coupled with oneor two different time delays. If only a single delay coupling is used, thelength of the delay determines whether the synchronization manifold istransversally stable or unstable, exhibiting mixed mode or chaotic oscillationsin which the small amplitude oscillations are always in-phase but the largeamplitude oscillations are in-phase or out-of-phase respectively. For twodelays we find an intricate dynamics which comprises an irregular alteration ofsmall amplitude oscillations, in-phase and out-of-phase large amplitudeoscillations, also called events. This transient chaotic dynamics is sandwichedbetween a bubbling transition and a blowout bifurcation.
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