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- 10-131 Amadeu Delshams, Gemma Huguet
- A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems
(478K, Pdf)
Aug 26, 10
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- 06-333 Amadeu Delshams, Josep J. Masdemont, Pablo Roldan
- The scattering map in the spatial Hill's problem
(816K, pdf)
Nov 16, 06
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- 07-247 A. Delshams, M. Gidea, R. de la Llave, T. M.-Seara
- Geometric approaches to the problem
of instability in Hamiltonian systems: An informal presentation
(1691K, PDF)
Oct 20, 07
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- 98-591 A. Delshams, R. de la Llave, T. M. Seara
- A geometric approach to the existence of orbits with
unbounded energy in generic periodic perturbations
by a potential of
generic geodesic flows of ${\bf T} ^{2}$
(263K, latex)
Sep 8, 98
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- 03-137 Amadeu Delshams,Rafael de la Llave, Tere M.~Seara
- A geometric mechanism for diffusion in Hamiltonian systems
overcoming the large gap problem: Announcement of results
(995K, PS)
Mar 27, 03
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- 96-491 Amadeu Delshams, Tere M. Seara
- Splitting of separatrices in Hamiltonian systems with
one and a half degrees of freedom
(116K, LaTeX 2.09)
Oct 16, 96
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- 08-227 Amadeu Delshams, Gemma Huguet
- Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems
(1080K, PDF)
Dec 5, 08
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- 04-158 Amadeu Delshams, J. Tomas Lazaro
- Pseudo-normal form near saddle-center or saddle-focus equilibria
(350K, Postscript)
May 21, 04
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- 95-468 Delshams A., Ramirez-Ros R.
- Poincare-Melnikov-Arnold Method for Analytic Planar Maps
(317K, LaTeX 2.09)
Oct 26, 95
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- 97-136 Amadeu Delshams, Arnau Mir
- Psi-Series of Quadratic Vector Fields on the Plane
(80K, LaTeX 2.09 and PicTeX)
Mar 19, 97
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- 96-53 Delshams A., Gutierrez P.
- Estimates on invariant tori near an elliptic equilibrium point
of a Hamiltonian system
(68K, LaTeX 2.09)
Mar 4, 96
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- 11-132 Amadeu Delshams, Marian Gidea, Pablo Roldan
- Transition map and shadowing lemma for normally hyperbolic invariant manifolds
(378K, PDF)
Sep 15, 11
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- 00-465 Amadeu Delshams, Yuri Fedorov and Rafael Ramirez-Ros
- Homoclinic billiard orbits inside symmetrically perturbed ellipsoids
(1055K, zipped PostScript)
Nov 22, 00
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- 97-160 Amadeu Delshams, Rafael Ramirez-Ros
- Exponentially small splitting of separatrices for standard-like maps
(405K, LaTeX 2.09)
Apr 2, 97
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- 98-323 Amadeu Delshams, Rafael Ramirez-Ros
- Singular separatrix splitting and Melnikov method: An experimental study
(400K, PostScript)
Apr 30, 98
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- 13-56 Amadeu Delshams, Rafael de la llave, Tere M.-Seara
- Instability of high dimensional Hamiltonian
Systems: Multiple resonances do not impede diffusion.
(751K, pdf)
Jun 17, 13
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- 04-148 Oksana Koltsova, Lev Lerman, Amadeu Delshams, Pere Guti\'errez
- Homoclinic orbits to invariant tori near a homoclinic orbit to
center-center-saddle equilibrium
(398K, Postscript)
May 7, 04
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- 12-78 Amadeu Delshams, Pere Gutierrez, Juan R. Pacha
- Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton-Jacobi equation
(1173K, pdf)
Jul 24, 12
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- 06-184 Amadeu Delshams, Rafael de la Llave, Tere M. Seara
- Geometric properties of the scattering map of a normally hyperbolic invariant manifold
(747K, pdf)
Jun 15, 06
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- 03-418 Sergey Bolotin, Amadeu Delshams, Rafael Ramirez-Ros
- Persistence of homoclinic orbits for billiards and twist maps
(419K, pdf file)
Sep 14, 03
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- 97-150 Amadeu Delshams, Rafael Ramirez-Ros
- Melnikov potential for exact symplectic maps
(258K, LaTeX 2.09)
Mar 26, 97
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- 04-280 A. Delshams, R. de la Llave, T. M.-Seara
- Orbits of unbounded energy in quasi-periodic perturbations of
geodesic flows
(1313K, pdf)
Sep 9, 04
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- 03-182 A. Delshams, R. de la Llave, T. M.-Seara
- A geometric mechanism for diffusion in Hamiltonian systems
overcoming the large gap problem: heuristics and rigorous
verification on a model
(1876K, ps)
Apr 22, 03
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- 03-134 Amadeu Delshams, Pere Guti\'errez, Tere M.~Seara
- Exponentially small splitting for whiskered tori in Hamiltonian systems:
Flow-box coordinates and upper bounds
(533K, Postscript)
Mar 24, 03
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- 03-112 Amadeu Delshams, Pere Guti\'errez
- Exponentially small splitting for whiskered tori in Hamiltonian systems:
Continuation of transverse homoclinic orbits
(460K, Postscript)
Mar 13, 03
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- 98-732 Amadeu Delshams, Rafael de la Llave
- KAM theory and a partial justification of Greene's criterion
for non-twist maps
(133K, Plain TeX)
Nov 26, 98
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- 15-74 Amadeu Delshams, Marina Gonchenko and Pere Guti rrez
- Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
(886K, PDF)
Jul 27, 15
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- 14-68 Amadeu Delshams, Marina Gonchenko, Pere Guti rrez
- Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio
(668K, pdf)
Sep 18, 14
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- 13-58 Amadeu Delshams, Marina Gonchenko, Pere Guti rrez
- Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies
(754K, pdf)
Jun 27, 13
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- 14-5 Amadeu Delshams, Marina Gonchenko, Pere Guti\'errez
- Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type
(62K, LATeX 2e)
Feb 12, 14
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- 97-4 Rudnev M., Wiggins S.
- Existence of exponentially small separatrix splitting
and homoclinic connections
between whiskered tori in weakly hyperbolic near-integrable Hamiltonian
systems. Revised version.
(305K, LaTeX)
Jan 4, 97
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