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 Edifici H - Planta 3 - despatx 3.32 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
    Preprint: Abstract,   Pdf version  (262 KB), 24pages
  
  
  • M. Guàrdia, S.J. Hogan, Tere M.Seara
    An analytical approach to codimension-2 sliding bifurcations in the dry friction oscillator
    SIAM J. Applied Dynamical Systems, 2010 Vol. 9, No. 3, pp. 769-798, ISSN (electronic): 1536-0040.
    Preprint: Abstract,   PDF version  (426 KB), 30 pages
  
  
  • M. Guàrdia, C. Olivé, Tere M.Seara
    Exponentially small splitting for the pendulum: a classical problem revisited
    Journal of Nonlinear Science, 2010 Vol. 20, No. 5, pp. 595-685, (October 2010), ISSN 0938-8974 (Print) / (May 2010) ISSN 1432-1467 (Online).
    Preprint: Abstract,   PDF version  (648 KB), 79 pages
  
  
  • M. Guàrdia, Tere M.Seara, M.A. Teixeira
    Generic bifurcations of low codimension of planar Filippov Systems
    Journal of Differential Equations, 2011, 250, pp. 1967-2023.
    Preprint: Abstract,   PDF version  (511 KB), 54 pages
  
  
  • Josep M. Olm, Xavier Ros-Oton, Tere M. Seara
    Periodic solutions with nonconstant sign in Abel equations of the second kind
    Journal of mathematical analysis and applications, 2011, 381(2), pp. 582-589.
    Preprint: Abstract,   PDF version  (99 KB), 8 pages
    
  
  
  • P. Martín, D. Sauzin, T. M. Seara
    Resurgence of inner solutions for perturbations of the McMillan map
    Discrete and continuous dynamical systems, 2011, 31(1), pp. 165-207.
    Preprint: Abstract,   PDF version  (658 KB), 43 pages
  
  
  • P. Martín, D. Sauzin, T. M. Seara
    Exponentially small splitting of separatrices in the perturbed McMillan map
    Discrete and continuous dynamical systems, 2011, 31(2), pp. 301-372.
    Preprint: Abstract,   PDF version  (856 KB), 72 pages
  
  

 PREPRINTS

• Inmaculada Baldomá, Ernest Fontich, Marcel Guardia, Tere M. Seara
  Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results
  Abstract, PDF version, (957 Kb) 117 pages.


• Marcel Guàrdia, Tere M. Seara
  Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
  Abstract, PDF version, (428 Kb) 44 pages.


• A. Granados, S.J. Hogan, Tere M. Seara
  The Melnikov method and subharmonic orbits in a piecewise smooth system
  Abstract, PDF version, (569 Kb) 29 pages.


• Immaculada Baldoma, Oriol Castejon, Tere M. Seara
  Breakdown of Heteroclinic Orbits for Analytic Unfoldings of the Hopf-Zero Singularity. The Singular Case
  Abstract, PDF version, (911 Kb) 59 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)
Jornades d'introducció als sistemes dinàmics (JISD2007)
Jornades d'introducció als sistemes dinàmics (JISD2008)
Jornades d'introducció als sistemes dinàmics (JISD2010)
Jornades d'introducció als sistemes dinàmics (JISD2011)