TY - MGZN
AU - Delshams, A.
AU - de la Llave, R.
AU - Martinez-seara, M.
T2 - Advances in mathematics
Y1 - 2016
VL - 294
SP - 689
EP - 755
DO - 10.1016/j.aim.2015.11.010
UR - http://www.sciencedirect.com/science/article/pii/S0001870815004697
AB - 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