Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcation Diagrams and Generalized Bifurcation Diagrams for a
  rotational model of an oblate satellite   This paper presents bifurcation and generalized bifurcation diagrams for a
rotational model of an oblate satellite. Special attention is paid to parameter
values describing one of Saturn's moons, Hyperion. For various oblateness the
largest Lyapunov Characteristic Exponent (LCE) is plotted. The largest LCE in
the initial condition as well as in the mixed parameter-initial condition space
exhibits a fractal structure, for which the fractal dimension was calculated.
It results from the bifurcation diagrams of which most of the parameter values
for preselected initial conditions lead to chaotic rotation. The First
Recurrence Time (FRT) diagram provides an explanation of the birth of chaos and
the existence of quasi-periodic windows occuring in the bifurcation diagrams.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys