Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the recurrence and Lyapunov time scales of the motion near the chaos
  border   Conditions for the emergence of a statistical relationship between $T_r$, the
chaotic transport (recurrence) time, and $T_L$, the local Lyapunov time (the
inverse of the numerically measured largest Lyapunov characteristic exponent),
are considered for the motion inside the chaotic layer around the separatrix of
a nonlinear resonance. When numerical values of the Lyapunov exponents are
measured on a time interval not greater than $T_r$, the relationship is shown
to resemble the quadratic one. This tentatively explains numerical results
presented in the literature.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics