@Article{Kulik2011, author = "Kulik, Viktor and Tkocz-Piszczek, Ewa", title = "Some constructions of Lyapunov function for linear extensions of dynamical systems", journal = "Opuscula Math.", year = "2011", volume = "31", number = "3", pages = "399--409", doi = "http://dx.doi.org/10.7494/OpMath.2011.31.3.399", url = "http://dx.doi.org/10.7494/OpMath.2011.31.3.399", 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", issn = "1232-9274" }