On diffusion in high-dimensional Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Instability of High Dimensional Hamiltonian Systems: Multiple Resonances Do Not Impede Diffusion
We consider models given by Hamiltonians of the form H(I, φ, p, q, t; ε) = h(I)+ n ∑ j=1 ± ( 1 2 pj + Vj(qj) ) +εQ(I, φ, p, q, t; ε) where I ∈ I ⊂ R, φ ∈ T, p, q ∈ R, t ∈ T. These are higher dimensional analogues, both in the center and hyperbolic directions, of the models studied in [DLS03, DLS06a, GL06a, GL06b]. All these models present the large gap problem. We show that, for 0 < ε 1, under ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2005
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2004.09.006