Opuscula Math. 31, no. 3 (2011), 399-409
http://dx.doi.org/10.7494/OpMath.2011.31.3.399
Opuscula Mathematica
Some constructions of Lyapunov function for linear extensions of dynamical systems
Viktor Kulik
Ewa Tkocz-Piszczek
Abstract. In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.
Keywords: Lyapunov function, invariant manifold, invariant torus.
Mathematics Subject Classification: 34C99, 37C40, 37C99.
- Viktor Kulik
- Silesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, Poland
- Ewa Tkocz-Piszczek
- Silesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, Poland
- Received: 2010-04-04.
- Revised: 2010-06-21.
- Accepted: 2010-07-20.
