Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaos in two-dimensional Kepler problem with spin-orbit coupling   We consider classical two-dimensional Kepler system with spin-orbit coupling
and show that at a sufficiently strong coupling it demonstrates a chaotic
behavior. The chaos emerges since the spin-orbit coupling reduces the number of
the integrals of motion as compared to the number of the degrees of freedom.
This reduction is manifested in the equations of motion as the emergence of the
anomalous velocity determined by the spin orientation. By using analytical and
numerical arguments, we demonstrate that the chaotic behavior, being driven by
this anomalous term, is related to the system energy dependence on the initial
spin orientation. We observe the critical dependence of the dynamics on the
initial conditions, where system can enter and exit a stability domain by very
small changes in the initial spin orientation. Thus, this system can
demonstrate a reentrant order-from-disorder transition driven by very small
variations in the initial conditions.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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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: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph