Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic strings in a near Penrose limit of AdS$_5\times T^{1,1}$   We study chaotic motions of a classical string in a near Penrose limit of
AdS$_5\times T^{1,1}$. It is known that chaotic solutions appear on $R\times
T^{1,1}$, depending on initial conditions. It may be interesting to ask whether
the chaos persists even in Penrose limits or not. In this paper, we show that
sub-leading corrections in a Penrose limit provide an unstable separatrix, so
that chaotic motions are generated as a consequence of collapsed
Kolmogorov-Arnold-Moser (KAM) tori. Our analysis is based on deriving a reduced
system composed of two degrees of freedom by supposing a winding string ansatz.
Then, we provide support for the existence of chaos by computing Poincare
sections. In comparison to the AdS$_5\times T^{1,1}$ case, we argue that no
chaos lives in a near Penrose limit of AdS$_5\times$S$^5$, as expected from the
classical integrability of the parent system.

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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: q-alg