Existence of Lyapunov functions of variable sign for linear extensions of dynamical systems on a torus

Autor:	V. L. Kulik
Rok vydání:	1990
Předmět:	Lyapunov function Definite quadratic form symbols.namesake Dynamical systems theory Quadratic form General Mathematics Mathematical analysis symbols Quadratic programming Positive-definite matrix Isotropic quadratic form Variable (mathematics) Mathematics
Zdroj:	Ukrainian Mathematical Journal. 42:1548-1552
ISSN:	1573-9376 0041-5995
Popis:	The problem of the existence of quadratic forms that have a positive definite derivative along the solutions of linear extensions of dynamical systems on a torus is considered. Assuming the existence of quadratic forms whose derivative is positive definite only with respect to part of the variables, conditions ensuring the existence of a quadratic form whose derivative is already positive definite with respect to all variables are found.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::65e613bd71226037da873f726fba25c2 https://doi.org/10.1007/bf01060829 Zobrazit plný text záznamu Full text from SpringerLink