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Preprints 2003

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1. [0301BroHJVW]
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach
Henk Broer, Heinz Hanssmann, Angel Jorba, Jordi Villanueva and Florian Wagener
Abstract, zipped postscript (3,32 Mb), 36 pages.

2. [0302FerPP]
Stratification and bundle structure of the set of conditioned invariant subspaces in the general case
Josep Ferrer, Ferran Puerta and Xavier Puerta
Abstract (ASCII file),  PostScript (282 Kb), zipped version (110 Kb), 17 pages.
Systems and Control Letters, vol. 48/2, pp. 77-86

3. [0303DelGMS]
Exponentially small splitting for whiskered tori in Hamiltonian systems: Flow-box coordinates and upper bounds
Amadeu Delshams, Pere Gutiérrez, Tere M. Seara
Abstract (ASCII file),  PostScript (540 Kb), zipped version (171 Kb), 36 pages.
Discrete Contin. Dyn. Syst., 11(4): 785-826, 2004.

4. [0304DelG]
Exponentially small splitting for whiskered tori in Hamiltonian systems: Continuation of transverse homoclinic orbits
Amadeu Delshams, Pere Gutiérrez
Abstract (ASCII file),  PostScript (468 Kb), zipped version (194 Kb), 23 pages.
Discrete Contin. Dyn. Syst., 11(4): 753-783, 2004.

5. [0305JorO]
Àngel Jorba, Mercè Ollé
Invariant curves near Hamiltonian-Hopf bifurcations of 4D symplectic maps
Abstract, zipped PostScript (1,88 MB), 27 pages.

6. [0306OliSMS]
Two Examples of Resurgence
Carme Olivé, David Sauzin, Tere M. Seara
Abstract (ASCII file),  PostScript (309 Kb), zipped version (115 Kb), 17 pages.
Publication: 2005 [pub0501OliSMS]

7. [0307Pell]
Asymptotic behavior and oscillations in a viscoelastic problem
Marta Pellicer
Abstract (ASCII file),  zipped PostScript (357 Kb), 8 pages.

8. [0308Pell-SM]
Analysis of a viscoelastic spring-mass model (poster) (Abril 03)
Marta Pellicer, Joan Solà-Morales
PowerPoint version (472 Kb), 1 page.

9. [0309OllPV]
Dynamics close to a non semi-simple 1: -1 resonant periodic orbit.
Mercè Ollé , J. R. Pacha , J. Villanueva
Abstract (ASCII file), Postscript (859 Kb),  zipped version (235 Kb), 38 pages.

10. [0310Alv]
Characteristic Cycle of Local Cohomology Modules of Monomial Ideals II
Josep Àlvarez
Abstract (ASCII file), Postscript (284 Kb),  zipped version (104 Kb), 19 pages.

11. [0311Alv]
Operations with regular holonomic D-modules with support a normal crossing
Josep Àlvarez
Abstract (ASCII file), Postscript (509 Kb),  zipped version (242 Kb), 13 pages.
Publication: 2005 [pub0501Alv]

12. [0312PuePT]
Versal Deformations in Orbit Spaces
Linear Alg. Appl., vol.379, p. 329-343 (2004)
Ferran Puerta, Xavier Puerta, Sonia Tarragona
Abstract (ASCII file), Postscript (235 Kb),  zipped version (91,6 Kb), 16 pages.

13. [0313DelG]
Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems
Amadeu Delshams, Pere Gutiérrez
Abstract (ASCII file),  PostScript (494 Kb), zipped version (113 Kb), 35 pages.
Publication: 2003 [pub0301DelG]

14. [0314FagM-SV]
Asymptotic Size of Herman Rings of the Complex Standard Family by Quantitative Quasiconformal Surgery
Núria Fagella, Tere M. Seara , J. Villanueva
Accepted in Ergodic Theory and Dynamical Systems.
Abstract (ASCII file), Postscript (2 Mb),  zipped version (253 Kb), 33 pages.

15. [0315CorLlO]
On the central configurations of the coorbital satellite problem
To appear in Proceedings of XVIII CEDYA/VIII CMA
Josep M. Cors, Jaume Llibre, Mercè Ollé
Abstract, PostScript (365 Kb),   zipped version (65,9 Kb), 7 pages

16. [0316SanJMM]
Unstable manifolds computation for the two-dimensional plane Poiseuille flow
Pablo S. Casas, Àngel Jorba
F. Marqués, and A. Meseguer, editors
Nonlinear Dynamics in Fluids (13th International Couette Taylor Workshop, Barcelona, July 2003), pp. 85-88, Univ. Politècnica de Catalunya.
Abstract, gzipped postscript (1413 Kb), 4 pages.

17. [0317GasGV]
The period function for second-order quadratic ODEs is monotone
Armengol Gasull, Antoni Guillamon, Jordi Villadelprat
Abstract,  PostScript (486 Kb),   zipped version (221 Kb),   21 pages

18. [0318DelL]
Pseudo-normal form near saddle-center or saddle-focus equilibria
Amadeu Delshams, J. Tomás Lázaro
Abstract (ASCII file), PostScript (469 Kb), zipped version (170 Kb), 40 pages.
Publication: 2005 [pub0501DelL]

19. [0319PelSM]
Analysis of a viscoelastic spring-mass model
Marta Pellicer, Joan Solà-Morales
Abstract (ASCII file), PostScript (558 Kb), zipped version (245 Kb), 14 pages.

20. [0320BolDR]
Persistence of homoclinic orbits for billiards and twist maps
Sergey Bolotin, Amadeu Delshams , Rafael Ramírez-Ros
Abstract (ASCII file), PDF version (309 Kb), zipped version (276 Kb), 29 pages.
Nonlinearity, 17(4):1153-1177, 2004.

21. [0321FedJ] (Agost 2003)
Nonholonomic LR systems as Generalized Chaplygin systems with an Invariant Measure and Geodesic Flows on Homogeneous Spaces
Yu. Fedorov and B. Jovanovich
J. Nonl. Science (submitted), arXiv: math- ph/ 0307016
Abstract (ASCII file), Pdf version (457 Kb), zipped version (339 Kb), 37 pages.

22. [0322DelLLMS] (Març 2003)
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results
Amadeu Delshams, Rafael de la Llave, Tere M. Seara
Abstract (ASCII file), PostScript version (1,02 Mb), zipped postscript version (368 Kb), 12 pages.
Number 03-137 of : www.ma.utexas.edu/mp_arc/index-03.html
Electron. Res. Announc. Amer. Math. Soc., 9:125-134, 2003.

23. [0323DelLLMS] (Abril 2003)
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model.
Amadeu Delshams, Rafael de la Llave, Tere M. Seara
Abstract (ASCII file), Pdf version (758 Kb), 148 pages.
Publication: 2006 [pub0601DelLLMS]

24. [0324GutD] (Setembre 2003)
Exponentially small transversality for homoclinic orbits of hyperbolic tori with quadratic irrational frequencies
Pere Gutiérrez , Amadeu Delshams
Abstract (ASCII file),  PostScript (181 Kb), zipped version (74,5 Kb), 8 pages.

25. [0325Fed] (Octubre 2002)
An Ellipsoidal Billiard with a Quadratic Potential
Yu. Fedorov
Functional Analysis and Its Applications,Vol.35, No.3, pp.199 -208, 2001
Abstract (ASCII file), Pdf version (157 Kb), zipped version (141 Kb), 10 pages.

26. [0326BolF] (Setembre 2003)
Steklov-Lyapunov type systems
A. Bolsinov and Yu. Fedorov
Journal of Nonlinear Mathematical Physics. (accepted)
Abstract (ASCII file), PostScript version (530 Kb), zipped version (230 Kb), 31 pages.

27. [0327Fed] (Octubre 2002)
Backlund Transformations on Coadjoint Orbits of the Loop Algebra gl(n)
Yu. Fedorov
Journal of Nonlinear Mathematical Physics 2002,Volume 9, 29 -46 Proceedings: Hong Kong
Abstract (ASCII file), Pdf version (195 Kb), zipped version (172 Kb), 18 pages.

28. [0328Har] (Setembre 2003)
The Schwinger formula revisited II (A Mathematical Treatment).
Jaume Haro
Abstract (ASCII file), PostScript version (186 Kb), zipped version (71,8 Kb), 16 pages.

29. [0329OliSMS]
Resurgence in a Hamilton-Jacobi Equation
Annales de l'Institute Fourier, V.53, pp: 1185--1235. 2003
C. Olivé, D. Sauzin, T.M. Seara
Abstract (ASCII file), PostScript (896 KB),  zipped version (217 KB), 40 pages.

30. [0330SanJ]
Unstable manifolds computation for the two-dimensional plane Poiseuille flow
Pablo S. Casas, Àngel Jorba
Abstract, zipped postscript (6593 Kb), 14 pages.

31. [0331SanJ]
Unstable manifolds computation for the 2-D plane Poiseuille flow
Pablo S. Casas, Àngel Jorba
XVIII CEDYA/VIII CMA, (Tarragona, September 2003)
Abstract, zipped postscript (1554 Kb), 8 pages.

32. [0332SanJ]
Unstable manifolds computation for the two-dimensional plane Poiseuille flow
Pablo S. Casas, Àngel Jorba
Equadiff 2003, (Hasselt-Belgium, July 2003)
Abstract, zipped postscript (1451 Kb), 3 pages.

33. [0333Gar]
Controllability of $\ell$-order linear systems
M.Isabel Garcia
International Journal of Pure and Applied Mathematics. vol. 6, n.2, pp. 185-191, (2003)
Abstract (ASCII file), PDF version (112 Kb), zipped version (91,8 Kb), 4 pages.

34. [0334Gar]
Generic Families of Generalized linear Systems
M.Isabel Garcia
International Journal of Pure and Applied Mathematics. vol. 6, n.2, pp. 193-197, (2003)
Abstract (ASCII file), PDF version (106 Kb), zipped version (91,9 Kb), 6 pages.

35. [0335Gar]
Regularizing Generalized Linear Systems by means a Derivative Feedback
M.Isabel Garcia
IEEE 2003 Int. Conf. ``Physics and Control" Proceedings, vol. 4, pp. 1134-1140, (2003)
Abstract (ASCII file), PDF version (180 Kb), zipped version (153 Kb), 7 pages.

36. [0336Gar]
Linearizing $\ell$-order generalized systems
M.Isabel Garcia
Abstract (ASCII file), PDF version (122 Kb), zipped version (101 Kb), 3 pages.

37. [0337GarM]
Structural Stability of Polynomial Matrices Related To Linear Time-invarinat Singular Systems
M.Isabel Garcia, Dolors Magret
Abstract (ASCII file), PDF version (139 Kb), zipped version (120 Kb), 8 pages.

38. [0338CloG]
Controllability of Second Order Linear Systems
Josep Clotet, M.Isabel Garcia
Abstract (ASCII file), PDF version (137 Kb), zipped version (118 Kb), 9 pages.

39. [0339GonJLLV]
KAM Theory without action--angle variables
Alejandra González, Àngel Jorba, Rafael de la Llave and J. Villanueva
Abstract (ASCII file), Postscript (633 Kb),  zipped version (213 Kb), 56 pages.
Publication: 2005 [pub0501LlaGJV]

40. [0340BroHJVW]
Quasi-periodic response solutions at normal-internal resonances
Henk Broer, Heinz Hanssmann, Àngel Jorba, J. Villanueva and Florian Wagener
Abstract (ASCII file),   zipped PostScript version (2,92 Mb), 6 pages.

41. [0341PuePZ]
On the parametrization of the controllability subspaces of a controllable pair
Ferran Puerta, Xavier Puerta and Ion Zaballa
Abstract (ASCII file),  Pdf version (194 Kb), zipped version (169 Kb), 13 pages.

42. [0342PColl]
Classification and versal deformation of generalized flags
Xavier Puerta
Abstract (ASCII file),  Pdf version (148 Kb), zipped version (129 Kb), 11 pages.

43. [0343HerJMPS]
On the Steiner, geodetic and hull numbers of graphs
Carme Hernando, Tao Jiang, Mercè Mora, Ignacio M.Pelayo, Carlos Seara
Abstract (ASCII file),  Pdf version (270 Kb), zipped version (193 Kb), 16 pages.

44. [0344BeiGMLR]
Searching for Life with the Terrestrial Planet Finder: Lagrange Point Options for a Formation Flying Interferometer
C. Beichman, G. Gómez, Josep Masdemont, M. Lo, L. Romans
Abstract (ASCII file),  Pdf version (159 Kb), zipped version (147 Kb), 9 pages.

45. [0345RodSM]
Linearization of class C1 for contractions on Banach Spaces
Hildebrando M. Rodrigues, Joan Solà-Morales
Abstract (ASCII file),  Postscript (643 Kb),  zipped version (276 Kb), 30 pages.

46. [0346RodSM]
Smooth Linearization for a Saddle on Banach spaces
Hildebrando M. Rodrigues, Joan Solà-Morales
Abstract (ASCII file),  Postscript (677 Kb),  zipped version (309 Kb), 26 pages.

47. [0347Laz]
Tesi doctoral: "On normal forms and splitting of separatrices in reversible systems"
J. Tomás Lázaro
zipped PDF version (1,01 Mb) 161 pages.
zipped Postscript version(499 Kb) 161 pages.
Transparencies de la seva exposicio (realitzades amb PROSPER):
Readme.txt, slides_laz.pdf (fitxer de transparencies) (1,37 Mb) 68 pages,
slides_PROSPER.tar.gz (programa tex font, programa d'estil PROSPER) (536 Kb).


48. [0348CanCM]Impulsive Transfers Between Lissajous Libration Point Orbits
Elisabet Canalias, Jordi Cobos, Josep J. Masdemont
Abstract (ASCII file),  zipped Postscript version (697 Kb), 30 pages.
Publication: 2003 [pub0301CanCM]

49. [0349ComFP]
Dimension of the Orbit of Marked Subspaces
Albert Compta, Josep Ferrer, Marta Peña
Abstract (ASCII file), PDF version (116 Kb), zipped version (100 Kb), 10 pages.

50. [0350Pla]
The representation problem of pairs of symmetric second-order tensors in the context of Solid Mechanics
Miguel Àngel Barja , Ignacio Carol, Francesc Planas, Egidio Rizzi
Abstract (ASCII file), PostScript version (513 Kb), zipped version (108 Kb), 12pages.

51. [0351MSeaS]
Resumació de Borel i teoria de la ressurgència
Tere M. Seara, David Sauzin
Pdf version ( Kb), 20 pages.

darrera modificació: Gener 2012
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