Loading...
Loading...

Go to the content (press return)

Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion

Author
Delshams, A.; de la Llave, R.; Martinez-seara, Tere
Type of activity
Journal article
Journal
Advances in mathematics
Date of publication
2016-05-14
Volume
294
First page
689
Last page
755
DOI
https://doi.org/10.1016/j.aim.2015.11.010 Open in new window
Project funding
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A ASTRODINAMICA, NEUROCIENCIA Y OTROS CAMPOS
Dinámica asociada a conexiones entre objetos invariantes. Aplicaciones a astrodinámica, neurociencia y otros campos
Dynamics associated to connections between invariant objects with applications to neuroscience and astrodynamics
Repository
http://arxiv.org/abs/1306.4614 Open in new window
http://hdl.handle.net/2117/89859 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0001870815004697 Open in new window
Abstract
We consider models given by Hamiltonians of the form View the MathML sourceH(I,f,p,q,t;e)=h(I)+¿j=1n±(12pj2+Vj(qj))+eQ(I,f,p,q,t;e) Turn MathJax on where I¿I¿Rd,f¿TdI¿I¿Rd,f¿Td, p,q¿Rnp,q¿Rn, t¿T1t¿T1. These are higher dimensional analogues, both in the center and hyperbolic directions, of the models studied in , and and are usually called “a-priori unstable Hamiltonian systems”. All these models present the large gap problem. We show that, for 0
Citation
Delshams, A., de la Llave, R., Martinez-seara, Tere. Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion. "Advances in mathematics", 14 Maig 2016, vol. 294, p. 689-755.
Keywords
Arnold diffusion, Hamiltonian, Instability, Resonances, Scattering map
Group of research
SD - UPC Dynamical Systems

Participants

Attachments