Autor:	N. V. Stepanenko, A. M. Samoilenko
Rok vydání:	2002
Předmět:	Lyapunov function symbols.namesake Dynamical systems theory Linear extension General Mathematics Mathematical analysis symbols Perturbation (astronomy) Torus Lyapunov optimization Lyapunov exponent Mathematics Linear dynamical system
Zdroj:	Ukrainian Mathematical Journal. 54:504-510
ISSN:	0041-5995
Popis:	We investigate classes of linear extensions of dynamical systems on a torus for which the Lyapunov functions exist for an arbitrary flow on the torus. Linear extensions for which the Lyapunov functions exist only with varying coefficients are considered separately. We investigate the problem of preservation of regularity under perturbation of phase variables.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c89d24f3eb36251d8ff12a1fe9bda937 https://doi.org/10.1023/a:1020577819924 Zobrazit plný text záznamu Full text from SpringerLink