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

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.
About the authors ▼
Ewa Tkocz-Piszczek
Silesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, Poland
About the article ▼
Received: 2007-04-05.
Revised: 2007-06-19.
Accepted: 2007-06-19.
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, http://dx.doi.org/10.7494/OpMath.2008.28.1.93.
Download this article's citation as: