TY - JOUR ID - Kulik2011 LB - Kulik2011 AU - Kulik, Viktor AU - Tkocz-Piszczek, Ewa TI - Some constructions of Lyapunov function for linear extensions of dynamical systems ST - Some constructions of Lyapunov function for linear extensions of dynamical systems JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2011 VL - 31 IS - 3 SP - 399 EP - 409 DO - http://dx.doi.org/10.7494/OpMath.2011.31.3.399 UR - http://dx.doi.org/10.7494/OpMath.2011.31.3.399 AB - 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. KW - Lyapunov function KW - invariant manifold KW - invariant torus SN - 1232-9274 ER -