Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonance Identities for Closed Characteristics on Compact Star-shaped
  Hypersurfaces in ${\bf R}^{2n}$   Resonance relations among periodic orbits on given energy hypersurfaces are
very important for getting deeper understanding of the dynamics of the
corresponding Hamiltonian systems. In this paper, we establish two new
resonance identities for closed characteristics on every compact star-shaped
hypersurface $\Sigma$ in ${\bf R}^{2n}$ when the number of geometrically
distinct closed characteristics on $\Sigma$ is finite, which extend those
identities established by C. Viterbo in 1989 for star-shaped hypersurfaces
assuming in addition that all the closed characteristics and their iterates are
non-degenerate, and that by W. Wang, X. Hu and Y. Long in 2007 for strictly
convex hypersurfaces in ${\bf R}^{2n}$.

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The categories of this paper are: atom-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an