%0 Journal Article %T Some constructions of Lyapunov function for linear extensions of dynamical systems %A Viktor Kulik %A Ewa Tkocz-Piszczek %J Opuscula Mathematica %D 2011 %I AGH University of Science and Technology %X 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. %K Lyapunov function %K invariant manifold %K invariant torus %U http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3128.pdf