%0 Journal Article
%T Sign-changing Lyapunov functions in linear extensions of dynamical systems
%A Victor Kulik
%A Ewa Tkocz-Piszczek
%J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
%D 2008
%I Krak¨®w : Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
%X In this note we consider sets of linear extensions of dynamical systems on a torus. We examine regularity of the systems by means of a given sign-changing Lyapunov function. The main result of the paper is to give conditions of regularity for the set of differential equations with degenerated matrix of coefficients.
%U http://studmath.up.krakow.pl/index.php/studmath/article/view/59