Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Li-Yorke chaos in nonautonomous Hopf bifurcation patterns - I   We analyze the characteristics of the global attractor of a type of
dissipative nonautonomous dynamical systems in terms of the Sacker and Sell
spectrum of its linear part. The model gives rise to a pattern of nonautonomous
Hopf bifurcation which can be understood as a generalization of the classical
autonomous one. We pay special attention to the dynamics at the bifurcation
point, showing the possibility of occurrence of Li-Yorke chaos in the
corresponding attractor and hence of a high degree of unpredictability.

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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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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: eess
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph