Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivalence of phase-oscillator and integrate-and-fire models   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 [SCPS] is
rather general and can be observed for arbitrarily small coupling strength in
any model class. As a by-product 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 $\delta$-pulses and a suitable phase response curve.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys