Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Colored noise induces synchronization of limit cycle oscillators   Driven by various kinds of noise, ensembles of limit cycle oscillators can
synchronize. In this letter, we propose a general formulation of
synchronization of the oscillator ensembles driven by common colored noise with
an arbitrary power spectrum. To explore statistical properties of such colored
noise-induced synchronization, we derive the stationary distribution of the
phase difference between two oscillators in the ensemble. This analytical
result theoretically predicts various synchronized and clustered states induced
by colored noise and also clarifies that these phenomena have a different
synchronization mechanism from the case of white noise.

34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol