Pulse coupled oscillator networks with delay are a source of interesting dynamics, for example, unstable attractors. In recent work with Pan Li and Wei Lin we found that such networks exhibit isochronous regions―subsets of the phase space filled with periodic orbits having the same period. We studied such isochronous regions both analytically and numerically, giving a proof of their existence and a detailed description of their properties.

Details can be found in our paper which has been published in Chaos and is also available from the arXiv.