Amadeu Delshams, Rafael de la llave, Tere M.-Seara
Instability of high dimensional Hamiltonian 
Systems: Multiple resonances do not impede diffusion. 
(751K, pdf)

ABSTRACT.  We consider models given by Hamiltonians of the form 
\[ 
H(I, p, p, q, t; \ep) 
= h(I) + \sum_{j = 1}^n \pm\left( rac{1}{2} p_j^2 + V_j(q_j) 
ight) 
+ \ep Q(I, p, p, q, t; \ep) 
\] 
where $I \in \II \subset 
eal ^{d}, p \in 	orus^d$, $p, q \in 
eal^n$, 
$t \in 	orus^1$. These are higher dimensional analogues, both in the center 
and hyperbolic directions, of the models studied in