V. Z. Grines, O. V. Pochinka, A. E. Shishenkova, “Lyapunov functions for dynamical systems”, Trudy SVMO, 2008, Volume 10, Number 2,Pages <nobr>11

Lyapunov functions for dynamical systems

V. Z. Grines^a, O. V. Pochinka^a, A. E. Shishenkova^b

^a N. I. Lobachevski State University of Nizhni Novgorod
^b Nizhnii Novgorod State Agricultural Academy

Abstract: There is a survey of results concerning of construction of Energy functions for Morse-Smale systems in the paper. Such functions are essentially connected with dynamics as the set of their critical points coincide with the set of periodic and fixed points of systems.

Keywords: Lyapunov function, energy function.

UDC: 517.956.2

Received: 20.09.2008