2017
Том 69
№ 7

All Issues

Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus

Kulik V. L.


Abstract

Lyapunov functions are considered in the form of linear combinations of quadratic forms. We study the conditions under which the linear extensions of dynamic systems on a torus are regular.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1527-1536.

Citation Example: Kulik V. L. Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1358-1365.