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
Fabiola Angulo, Tere M.Seara, Enric Fossas, Gerard Olivar Bounding the
output error in a buck power converter using perturbation theory Mathematical
Problems in Engineering. Volume 2008, Article ID 732039, doi:10.1155/2008/732039, 20 pages, (october 2008), ISSN: 1024-123X
Preprint:
Abstract , Pdf version (384 Kb), 20 pages.
I.
Baldomŕ, Tere M.Seara The inner equation for generic analytic unfoldings
of the Hofp-zero singularity Discrete and Continuous Dynamical Systems-Series B. Volume 10, Number: 2/3,
Pages 323-347 (September/October 2008), ISSN: 1531-3492 Preprint: Abstract, Pdf version (304 KB), 25 pages
M. Guàrdia, S.J. Hogan, Tere M.Seara An analytical approach to codimension-2 sliding bifurcations in
the dry friction oscillator Abstract, PDF version (426 KB),
30 pages
M. Guàrdia, C. Olivé, Tere M.Seara Exponentially small splitting for the pendulum: a
classical problem revisited Abstract, PDF version (648 KB),
79 pages
M. Guàrdia, Tere M.Seara, M.A. Teixeira Generic bifurcations of low codimension of planar Filippov
Systems Abstract, PDF version (511 KB),
54 pages
P. Martín, D. Sauzin, T. M. Seara Resurgence of inner solutions for
perturbations of the McMillan map Abstract, PDF version (452 KB),
47 pages
P. Martín, D. Sauzin, T. M. Seara Exponentially small splitting of separatrices in the perturbed McMillan map Abstract, PDF version (768 KB),
77 pages
Jornadas
de introducción a los sistemas dinámicos
(JISD2002) Jornades d'introducció
als sistemes dinàmics
(JISD2003) Jornades d'introducció
als sistemes dinàmics
(JISD2004) Jornades d'introducció
als sistemes dinàmics
(JISD2006)