Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Guaranteed estimates for the length of branches of periodic orbits for
  equivariant Hopf bifurcation   Connected branches of periodic orbits originating at a Hopf bifurcation point
of a differential system are considered. A computable estimate for the range of
amplitudes of periodic orbits contained in the branch is provided under the
assumption that the nonlinear terms satisfy a linear estimate in a ball. If the
estimate is global, then the branch is unbounded. The results are formulated in
an equivariant setting where the system can have multiple branches of periodic
orbits characterized by different groups of symmetries. The non-local analysis
is based on the equivariant degree method, which allows us to handle both
generic and degenerate Hopf bifurcations. This is illustrated by examples.

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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics