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Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion

Author
Delshams, A.; de la Llave, R.; Martinez-seara, M.
Type of activity
Report
Date
2013-06
Code
[prepr201312DelLlMS]
Repository
http://hdl.handle.net/2117/20671 Open in new window
URL
http://www.ma1.upc.edu/recerca/preprints/preprints-2013/Fitxers/prepr201302seara.pdf Open in new window
Abstract
Abstract. We consider models given by Hamiltonians of the form H ( I;';p;q;t ; " ) = h ( I )+ n X j =1 1 2 p 2 j + V j ( q j ) + "Q ( I;';p;q;t ; " ) where I 2I R d ;' 2 T d , p;q 2 R n , t 2 T 1 . These are higher di- mensional 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 < " 1, under regularity and explicit non- degeneracy conditions on the model, there are...
Citation
Delshams, A.; de la Llave, R.; Martinez-seara, M. "Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion". 2013.
Group of research
SD - UPC Dynamical Systems

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