Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strange attractor for the renormalization flow for invariant tori of
  Hamiltonian systems with two generic frequencies   We analyze the stability of invariant tori for Hamiltonian systems with two
degrees of freedom by constructing a transformation that combines
Kolmogorov-Arnold-Moser theory and renormalization-group techniques. This
transformation is based on the continued fraction expansion of the frequency of
the torus. We apply this transformation numerically for arbitrary frequencies
that contain bounded entries in the continued fraction expansion. We give a
global picture of renormalization flow for the stability of invariant tori, and
we show that the properties of critical (and near critical) tori can be
obtained by analyzing renormalization dynamics around a single hyperbolic
strange attractor. We compute the fractal diagram, i.e., the critical coupling
as a function of the frequencies, associated with a given one-parameter family.

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The categories of this paper are: math
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
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The categories of this paper are: cs
16
The categories of this paper are: stat