Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability in Chaos   Intrinsic instability of trajectories characterizes chaotic dynamical
systems. We report here that trajectories can exhibit a surprisingly high
degree of stability, over a very long time, in a chaotic dynamical system. We
provide a detailed quantitative description of this effect for a
one-dimensional model of inertial particles in a turbulent flow using
large-deviation theory. Specifically, the determination of the entropy function
for the distribution of finite-time Lyapunov exponents reduces to the analysis
of a Schr\"odinger equation, which is tackled by semi-classical methods.

33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc