Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyapunov spectra behavior for linear discrete-time systems under small
  perturbations   We investigate the behavior of the Lyapunov spectrum of a linear
discrete-time system under the action of small perturbations in order to obtain
some verifiable conditions for stability and openness of the Lyapunov spectrum.
To this end we introduce the concepts of broken away solutions and splitted
systems. The main results obtained are a necessary condition for stability and
a sufficient condition for the openness of the Lyapunov spectrum, which is
given in terms of the system itself. Finally, examples of using the obtained
results are presented.

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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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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: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th