TY - JOUR
T1 - Fast Arnold diffusion in systems with three time scales
JF - Discrete Contin. Dyn. Syst. 8 (2002) 795-811
Y1 - 2002
A1 - Massimiliano Berti
A1 - Philippe Bolle
AB - We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian systems with three time scales. By means of a careful shadowing analysis, based on a variational technique, we prove that, along special directions, Arnold diffusion takes place with fast (polynomial) speed, even though the \\\"splitting determinant\\\" is exponentially small.
PB - American Institute of Mathematical Sciences
UR - http://hdl.handle.net/1963/3058
U1 - 1275
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - A functional analysis approach to Arnold diffusion
JF - Ann. Inst. H. Poincare Anal. Non Lineaire 19 (2002) 395-450
Y1 - 2002
A1 - Massimiliano Berti
A1 - Philippe Bolle
AB - We discuss in the context of nearly integrable Hamiltonian systems a functional analysis approach to the \\\"splitting of separatrices\\\" and to the \\\"shadowing problem\\\". As an application we apply our method to the problem of Arnold Diffusion for nearly integrable partially isochronous systems improving known results.
PB - Elsevier
UR - http://hdl.handle.net/1963/3151
U1 - 1182
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -