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Complete Description of the Lyapunov Spectra of Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Semiaxis

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Abstract

We consider families of n-dimensional (n ≥ 2) linear differential systems on the time semiaxis with parameter varying in a metric space. For such families continuously depending on the parameter in the sense of uniform convergence on the time semiaxis, we completely describe the spectra of their Lyapunov exponents as vector functions of the parameter.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Belarus, Minsk, 220072, Belarus

    E. A. Barabanov & M. V. Karpuk

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    V. V. Bykov

Authors
  1. E. A. Barabanov
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  2. V. V. Bykov
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  3. M. V. Karpuk
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Correspondence to E. A. Barabanov.

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Original Russian Text © E.A. Barabanov, V.V. Bykov, M.V. Karpuk, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 12, pp. 1579–1588.

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Barabanov, E.A., Bykov, V.V. & Karpuk, M.V. Complete Description of the Lyapunov Spectra of Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Semiaxis. Diff Equat 54, 1535–1544 (2018). https://doi.org/10.1134/S0012266118120017

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  • DOI: https://doi.org/10.1134/S0012266118120017

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