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Arnold's Diffusion: from the a priori unstable to the a priori stable case.

Bernard, Patrick (2012), Arnold's Diffusion: from the a priori unstable to the a priori stable case., ICM 2010, 2010-08, Hyderabad, Inde

Type
Communication / Conférence
External document link
http://hal.archives-ouvertes.fr/docs/00/67/86/81/PDF/corrected.pdf
Date
2012
Conference title
ICM 2010
Conference date
2010-08
Conference city
Hyderabad
Conference country
Inde
Pages
20
Metadata
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Author(s)
Bernard, Patrick cc
Abstract (EN)
We expose some selected topics concerning the instability of the action variables in a priori unstable Hamiltonian systems, and outline a new strategy that may allow to apply these methods to a priori stable systems.
Subjects / Keywords
action minimization; variational methods; weak KAM solutions; homoclinic intersections; partially hyperbolic tori; normally hyperbolic cylinder; Arnold's diffusion