Abstract
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.
Original language | English |
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Article number | 042916 |
Number of pages | 11 |
Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
Volume | 91 |
Early online date | 29 Apr 2015 |
DOIs | |
Publication status | Published - Apr 2015 |
Bibliographical note
ACKNOWLEDGEMENTA.P. wishes to acknowledge the von Humboldt Foundation for the financial support, which made the collaboration possible