Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete set of invariants for a Bykov attractor   In this paper we consider an attracting heteroclinic cycle made by a
1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles
having complex eigenvalues. The basin of the global attractor exhibits historic
behaviour and, from the asymptotic properties of these non-converging time
averages, we obtain a complete set of invariants under topological conjugacy in
a neighborhood of the cycle. These invariants are determined by the quotient of
the real parts of the eigenvalues of the equilibria, a linear combination of
their imaginary components and also the transition maps between two cross
sections on the separatrices.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int