Carregant...
Carregant...

Vés al contingut (premeu Retorn)

Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type

Autor
Delshams, A.; Gonchenko, M.; Gutiérrez, P.
Tipus d'activitat
Document cientificotècnic
Data
2014-02
Codi
[prepr201401DelGG]
Projecte finançador
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES, ASTRODINÁMICA, NEUROCIENCIA Y OTRAS APLICACIONES
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A
Repositori
http://hdl.handle.net/2117/22687 Obrir en finestra nova
URL
http://www.ma1.upc.edu/recerca/preprints/preprints-2014/preprint-2014 Obrir en finestra nova
Resum
We study the splitting of invariant manifolds of whiskered tori with two frequencies in nearlyintegrable Hamiltonian systems, such that the hyperbolic part is given by a pendulum. We consider a 2-dimensional torus with a fast frequency vector $\omega/v\epsilon$, with $\epsilon=(1,\Omega)$ where $\Omega$ is an irrational number of constant type, i.e. a number whose continued fraction has bounded entries. Applying the Poincar´e–Melnikov method, we find exponentially small lower bounds for the m...
Citació
Delshams, A.; Gonchenko, M.; Gutiérrez, P. "Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type". 2014.
Paraules clau
Melnikov integrals, numbers of constant type, splitting of separatrices
Grup de recerca
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
SD - Sistemes Dinàmics de la UPC

Participants

Arxius