Opuscula Math. 31, no. 3 (), 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

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.