Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Drift of slow variables in slow-fast Hamiltonian systems   We study the drift of slow variables in a slow-fast Hamiltonian system with
several fast and slow degrees of freedom. For any periodic trajectory of the
fast subsystem with the frozen slow variables we define an action. For a family
of periodic orbits, the action is a scalar function of the slow variables and
can be considered as a Hamiltonian function which generates some slow dynamics.
These dynamics depend on the family of periodic orbits.
  Assuming the fast system with the frozen slow variables has a pair of
hyperbolic periodic orbits connected by two transversal heteroclinic
trajectories, we prove that for any path composed of a finite sequence of slow
trajectories generated by action Hamiltonians, there is a trajectory of the
full system whose slow component shadows the path.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org