@article {2002,
	title = {Fast Arnold diffusion in systems with three time scales},
	journal = {Discrete Contin. Dyn. Syst. 8 (2002) 795-811},
	number = {SISSA;21/2001/M},
	year = {2002},
	publisher = {American Institute of Mathematical Sciences},
	abstract = {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.},
	url = {http://hdl.handle.net/1963/3058},
	author = {Massimiliano Berti and Philippe Bolle}
}
@article {2002,
	title = {A functional analysis approach to Arnold diffusion},
	journal = {Ann. Inst. H. Poincare Anal. Non Lineaire 19 (2002) 395-450},
	year = {2002},
	publisher = {Elsevier},
	abstract = {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.},
	doi = {10.1016/S0294-1449(01)00084-1},
	url = {http://hdl.handle.net/1963/3151},
	author = {Massimiliano Berti and Philippe Bolle}
}
