Tere M. Seara Departament de Matemàtica Aplicada I Escola Tècnica Superior d'Enginyeria Industrial de Barcelona Universitat Politècnica de Catalunya Avda. Diagonal 647. 08028 Barcelona. Spain Telf.: +34-93 401 65 51 Fax: +34-93 401 17 13 Tere.M-Searaupc.edu

  PUBLICATIONS

• Books
  • 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. Baldomà, 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

  • E. Fossas, S. J. Hogan and T. M. Seara
    Two-parameter bifurcation curves in power electronic converters
    International Journal Of Bifurcation And Chaos In Applied Sciences And Engineering. Volume 19, n.1, pp. 349-357, January 2009. ISSN: 0218-1274
    Preprint: Pdf version (172 Kb), 15 pages.

  • Tere M.Seara, Jordi Villanueva
    Numerical computation of the asymptotic size of the rotation domain for the Arnold family
    Physica D-Nonlinear Phenomena, Volume 238, n.2, pp. 197-208, January 2009. ISSN: 0167-2789
    Abstract,   Pdf version  (262 KB), 24pages

 PREPRINTS

• 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)