Tere M.Seara Estudi de fenòmens homocíinics en sistemes
propers a integrables. Tesi doctoral (1990). Pub. Ed. Univ. Barcelona.
Barcelona
Carles Bonet, Àngel Jorba, Tere M. Seara, Josep Masdemont, Mercè
Ollé, Antoni Susín and Marta València Càlcul
Numèric (1991). CPDA, ETSEIB-UPC. ISBN 84-7653-097-8. Barcelona
Articles
Amadeu Delshams and Tere M. Seara An asymptotic expression for the splitting
of separatrices of the rapidly forced pendulum. Commun. Math. Phys., 150:
433--463, 1992.
Amadeu Delshams and Tere M. Seara Splitting of separatrices in Hamiltonian
systems with one and a half degrees of freedom. Math. Phys. Electron.
J., 3 (1): 1-40, 1997. Preprint: Abstract
, PostScript
(485 Kb), zipped
version (178 Kb)
Amadeu
Delshams, V.G. Gelfreich, Àngel Jorba and Tere M. Seara Exponentially
small splitting of separatrices under fast quasiperiodic forcing. Comm.
Math. Phys., 189 (1): 35-71, 1997. Preprint: Abstract
, PostScript
(393 Kb), zipped
version (140 Kb).
Amadeu Delshams, V.G. Gelfreich, Àngel Jorba and Tere M. Seara. Lower
and upper bounds for the splitting of separatrices of the pendulum under a fast
quasiperiodic forcing. Electron. Res. Announc. Amer. Math. Soc., 3: 1-10,
1997. Preprint: Abstract
, PostScript
(127 Kb), zipped
version (50 Kb).
Carles Bonet, David Sauzin, Tere M. Seara and Marta València Adiabatic
Invariant of the Harmonic Oscillator, Complex Matching and Resurgence.
SIAM J. Math. An., 29 (6): 1335--1360, 1998. Preprint: Abstract,
PostScript
(348 Kb), zipped
version(106 Kb)
Amadeu Delshams, Rafael de la Llave and Tere 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 T2.
Comm. Math. Phys., 209 (2): 353--392, 2000. Preprint: Abstract
, LaTeX
(279 Kb), PostScript
(579 Kb). zipped
version (258 Kb), 59 pages.
Tere M. Seara and Jordi Villanueva Asymptotic Behaviour of the Domain
of Analyticity of Invariant Curves of the Standard Map. Nonlinearity,
13: 1699--1744, 2000. Preprint: Abstract
, PostScript
(1051 Kb), zipped
version (239 Kb), 50 pages.
Carme Olivé, David Sauzin and Tere M. Seara Resurgence in a Hamilton-Jacobi
Equation. Annales de l'Institute Fourier, 53: 1185--1235, 2003. Preprint:
Abstract
, PostScript
(896 KB), zipped
version (217 KB), 40 pages.
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. ERA
Amer. Math. Soc., 9: 125--134, 2003, ISSN 1079-6762. Preprint:
Abstract , PostScript
version (1,02 Mb), zipped
postscript version (368 Kb), 12 pages.
Tere M. Seara and David Sauzin Resumació de Borel i teoria de la
ressurgència. Butlletí de la Societat Catalana de Matemàtiques.
IEC, 18(1): 131--153, 2003. Preprint: PDF
version ( KB), 23 pages.
Núria Fagella , Tere M. Seara , Jordi Villanueva. Asymptotic Size
of Herman Rings of the Complex Standard Family by Quantitative Quasiconformal
Surgery. Ergodic Theory and Dynamical Systems, 24(3): 735--766,
2004.
Amadeu
Delshams, Pere Gutiérrez, Tere M. Seara Exponentially small splitting
for whiskered tori in Hamiltonian Systems: Flow-box coordinates and upper bounds.
Discrete and Continuous Dynamical Systems, 11(4): 785--826, 2004.
Carme Olivé, David
Sauzin, Tere M. Seara Two examples of resurgence Contemporary
mathematics 373: 355--371, 2005. Preprint: Abstract
(309 Kb) PostScript
(309 Kb), zipped
version (115 Kb), 17 pages.
Amadeu Delshams, Rafael de la Llave, Tere M. Seara. A geometric mechanism
for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics
and rigorous verification on a model. Mem. Amer. Math. Soc. 179 (844):
1--141, 2006, ISSN: 0065-9266
Amadeu Delshams, Rafael de la Llave, Tere M. Seara Orbits of unbounded
energy in quasi-periodic perturbations of geodesic flows Advances
in Mathematics 202 (1): 64--188, 2006.
Tere
M.Seara, Jordi Villanueva On the numerical computation of Diophantine rotation
numbers of analytic circle maps Physica
D: Nonlinear Phenomena 217(2): 107--120, 2006.
I.
Baldomá, Tere M.Seara Breakdown of heteroclinic orbits for some
analytic unfoldings of the Hopf-zero singularity Journal
of Nonlinear Science, Volume 16, Number 6, pp. 543-582 (December, 2006), ISSN
0938-8974 (Print) / (July 2006), ISSN 1432-1467 (Online) Preprint:
Abstract (pdf version, 50 Kb), PostScript version (625 Kb), zipped version (6280 Kb), 45 pages.
Amadeu
Delshams, Rafael de la Llave, Tere M.Seara Geometric properties of the
scattering map of a normally hyperbolic invariant manifold Advances
in Mathematics Volume 217, Issue 3, 15 February 2008, Pages 1096-1153
PREPRINTS
E. Fossas,
S. J. Hogan and T. M. Seara Two-parameter bifurcation curves in power electronic
converters Pdf version (172 Kb), 15 pages.
I. Baldomŕ,
Tere M.Seara The inner equation for generic analytic unfoldings of the
Hofp-zero singularity Abstract, Pdf version (304 KB), 25 pages
Tere
M.Seara, Jordi Villanueva Numerical
computation of the asymptotic size of the rotation domain for the Arnold family Abstract, Pdf version (262 KB),
24pages
Fabiola Angulo, Tere M.Seara, Enric Fossas, Gerard Olivar Bounding the
output error in a buck power converter using perturbation theory Abstract , Pdf version (384 Kb), 10 pages.
Jornadas
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