Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isostables for stochastic oscillators   Thomas and Lindner (2014, Phys.Rev.Lett.) defined an asymptotic phase for
stochastic oscillators as the angle in the complex plane made by the
eigenfunction, having a complex eigenvalue with a least negative real part, of
the backward Kolmogorov (or stochastic Koopman) operator. We complete the
phase-amplitude description of noisy oscillators by defining the stochastic
isostable coordinate as the eigenfunction with the least negative nontrivial
real eigenvalue. Our results suggest a framework for stochastic limit cycle
dynamics that encompasses noise-induced oscillations.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys