A quantitative comparison of various classes of oscillators (integrate-and-fire, Winfree, and Kuramoto-Daido type) is performed in the weak-coupling limit for a fully connected network of identical units. An almost perfect agreement is found, with only tiny differences among the models. We also show that the regime of self-consistent partial synchronization is rather general and can be observed for arbitrarily small coupling strength in any model class. As a byproduct of our study, we are able to show that an integrate-and-fire model with a generic pulse shape can be always transformed into a similar model with δ pulses and a suitable phase response curve.
|Number of pages||11|
|Journal||Physical Review. E, Statistical, Nonlinear and Soft Matter Physics|
|Early online date||29 Apr 2015|
|Publication status||Published - 2015|
- Mathematical Sciences (Research Theme)
- School of Natural & Computing Sciences, Physics - Chair in Physics of Life Sciences
- Institute for Complex Systems and Mathematical Biology (ICSMB)