Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slow and fast dynamics in coupled systems: A time series analysis view   We study the dynamics of systems with different time scales, when access only
to the slow variables is allowed. We use the concept of Finite Size Lyapunov
Exponent (FSLE) and consider both the case when the equations of motion for the
slow components are known, and the situation when a scalar time series of one
of the slow variables has been measured. A discussion on the effects of
parameterizing the fast dynamics is given. We show that, although the
computation of the largest Lyapunov exponent can be practically infeasible in
complex dynamical systems, the computation of the FSLE allows to extract
information on the characteristic time and on the predictability of the
large-scale, slow-time dynamics even with moderate statistics and unresolved
small scales.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
3
The categories of this paper are: physics
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an