The Andronov-Hopf Bifurcation with 2:1 Resonance

Autor:	D. Yu. Volkov
Rok vydání:	2005
Předmět:	Statistics and Probability Hopf bifurcation Pure mathematics Applied Mathematics General Mathematics Mathematical analysis Torus Parameter space symbols.namesake Bibliography symbols Dissipative dynamical systems Invariant (mathematics) Eigenvalues and eigenvectors Mathematics
Zdroj:	Journal of Mathematical Sciences. 128:2831-2834
ISSN:	1573-8795 1072-3374
Popis:	We consider dissipative dynamical systems in a neighborhood of quasi-periodic n-dimensional invariant tori that are not normally hyperbolic. We assume that the normal spectrum contains precisely two pairs of simple pure imaginary eigenvalues. We investigate the case where the frequencies are in the ratio 2:1. We establish sufficient conditions for the existence of invariant tori of dimension n + p in a certain region of the parameter space. Bibliography: 13 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::83c8c9f196953a10398845a5ade2da79 https://doi.org/10.1007/s10958-005-0241-9 Zobrazit plný text záznamu Plný text ve formátu PDF