Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Controlling Escape in the Standard Map   We investigate how the diffusion exponent is affected by controlling small
domains in the phase space.The main Kolomogorov-Arnold-Moser - KAM island of
the Standard Map is considered to validate the investigation. The bifurcation
scenario where the periodic island emits smaller resonance regions is
considered and we show how closing paths escape from the island shore by
controlling points and hence making the diffusion exponent smaller. We notice
the bigger controlled area the smaller the diffusion exponent. We show that
controlling around the hyperbolic points associated to the bifurcation is
better than a random control to reduce the diffusion exponent. The recurrence
plot shows us channels of escape and a control applied there reduces the
diffusion exponent.

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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th