Opuscula Math. 28, no. 1 (2008), 93-101

 
Opuscula Mathematica

Sign-changing Lyapunov functions in regularity of linear extensions of dynamical systems on a torus

Ewa Tkocz-Piszczek

Abstract. In this paper we consider some sign-changing Lyapunov function in research on regularity of sets of linear extensions of dynamical systems on a torus.

Keywords: invariant torus, Green's function of a problem of invariant toruses, regularity of linear extensions of dynamical systems.

Mathematics Subject Classification: 34C30, 34C99, 37C99.

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  • Ewa Tkocz-Piszczek
  • Silesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, Poland
  • Received: 2007-04-05.
  • Revised: 2007-06-19.
  • Accepted: 2007-06-19.
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Cite this article as:
Ewa Tkocz-Piszczek, Sign-changing Lyapunov functions in regularity of linear extensions of dynamical systems on a torus, Opuscula Math. 28, no. 1 (2008), 93-101

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