Sign-changing Lyapunov functions in regularity of linear extensions of dynamical systems on a torus

• Autorzy: Tkocz-Piszczek E.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider some sign-changing Lyapunov function in research on regularity of sets of linear extensions of dynamical systems on a torus.

Słowa kluczowe

EN

invariant torus; Green's function of a problem of invariant toruses; regularity of linear extensions of dynamical systems

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 1
• Strony: 93--101
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Tkocz-Piszczek E.

• Silesian University of Technology, Department of Mathematics, ul. Kaszubska 23, Gliwice, Poland,

Bibliografia

• [1] W.A. Coppel, Dichotomies and Lyapunov functions, J. Different. Equat. 52 (1984), 58–65.
• [2] S. Elaydi, O. Hajek, Expotential trihotomy of differential systems, J. Math. Anal. And Appl. 129 (1998), 362–374.
• [3] Yu.A. Mitropolsky, A.M. Samoilenko, V.L. Kulik, Dichotomies and Stability in Nonautonomous Linear Systems, Taylor & Francis, London, 2003.