Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Floquet theory: application to dynamical systems with memory
  and Bloch's theorem for nonlocal potentials   Floquet theory is a powerful tool in the analysis of many physical phenomena,
and extended to spatial coordinates provides the basis for Bloch's theorem.
However, in its original formulation it is limited to linear systems with
periodic coefficients. Here, we extend the theory by proving a theorem for the
general class of systems including linear operators commuting with the
period-shift operator. The present theorem greatly expands the range of
applicability of Floquet theory to a multitude of phenomena that were
previously inaccessible with this type of analysis, such as dynamical systems
with memory. As an important extension, we also prove Bloch's theorem for
nonlocal potentials.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th