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Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus

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Abstract

We consider a series of problems connected with the application of quadratic-form Lyapunov functions to the investigation of the properties of regularity of linear extensions of dynamic systems on a torus.

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Authors and Affiliations

  1. Silesian Technical University, Gliwice, Poland

    V. L. Kulyk

  2. “KPI” Ukrainian National Technical University, Kyiv

    N. V. Stepanenko

Authors
  1. V. L. Kulyk
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  2. N. V. Stepanenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 488–500, April, 2007.

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Kulyk, V.L., Stepanenko, N.V. Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus. Ukr Math J 59, 546–562 (2007). https://doi.org/10.1007/s11253-007-0035-y

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  • DOI: https://doi.org/10.1007/s11253-007-0035-y

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