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
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.
- 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.
