Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling law for the critical function of an approximate renormalization   We construct an approximate renormalization for Hamiltonian systems with two
degrees of freedom in order to study the break-up of invariant tori with
arbitrary frequency. We derive the equation of the critical surface of the
renormalization map, and we compute the scaling behavior of the critical
function of one-parameter families of Hamiltonians, near rational frequencies.
For the forced pendulum model, we find the same scaling law found for the
standard map in [Carletti and Laskar, preprint (2000)]. We discuss a conjecture
on the link between the critical function of various types of forced pendulum
models, with the Bruno function.

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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: cs