Exponentially Small Splitting and Arnold Diffusion for Multiple Time Scale Systems
2003 ◽
Vol 15
(04)
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pp. 339-386
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We consider the class of Hamiltonians: [Formula: see text] where [Formula: see text], and the perturbing function f(q) is a rational function of eiq. We prove upper and lower bounds on the splitting for such class of systems, in regions of the phase space characterized by one fast frequency. Finally using an appropriate Normal Form theorem we prove the existence of chains of heteroclinic intersections.
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2011 ◽
Vol 59
(2)
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pp. 244-256
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2022 ◽
Vol 135
◽
pp. 107420
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1991 ◽
Vol 9
(2)
◽
pp. 184-192
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1972 ◽
pp. 127-163
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