Pavao Mardesic
Publications Scientifiques:



Article soumis:
  1. M. Bobienski, P. Mardesic et D. Novikov : Pseudo-Abelian integrals : Unfolding generic exponential case, Prépublications de l'IMB,  n° 564 , arXiv:0903.267v1[math.DS] 15 Mar 2009
 
Articles publiés ou acceptés:

  1. Christopher, C; Mardesic, P.: Monodromy and Tangential Center Problems http://arxiv.org/PS_cache/arxiv/pdf/0803/0803.2110v1.pdf,  Accepté dans Functional Analysis and Applications = Funktsional. Anal. i Prilozhen. (russe)
  2. Bobienski, M; Mardesic, P. Pseudo-Abelian Integrals along Darboux Cycles, Proceedings of the London Mathematical Society 2008; doi: 10.1112/plms/pdn015 
  3. Giraldo, Luis; Gomez-Mont, Xavier, Mardesic, Pavao: Flags in zero-dimensional complete intersection algebras and indices of real vector fields, Math. Z. (2008) 260:77–91
    DOI 10.1007/s00209-007-0262-9 
  4. D. Sugny; P. Mardesic; M. Pelletier; A. Jebrane; H. R. Jauslin.:  Fractional Hamiltonian Monodromy from a Gauss-Manin Monodromy  Journal of Mathematical Physics Vol.49, 042701, 1-35, (2008):
  5. Mardesic, P; Marin, D; Villadelprat, J.: Unfolding of resonant saddles and the time of the Dulac map, Discrete and Continous Dynamical Systems A , Vol 21, No . 4, 1221-1244, (2008)
  6.  Mardesic, Pavao; Saavedra, Mariana: Non-accumulation of critical points of the Poincaré time on hyperbolic polycycles,  Proceedings of the AMS, Vol 135, No 10, (2007), 3273-3282, 
  7.  Li, Chengzhi; Mardesic, Pavao; Roussarie, Robert: Perturbations of symmetric elliptic Hamiltonians of degree four.  J. Differ. Equations 231, No. 1, 78-91 (2006)
  8. Mardesic, P.; Marin, D.; Villadelprat, J. The period function of reversible quadratic centers.  J. Differential Equations 224 (2006),  no. 1, 120--171.
  9. Mardesic, P.; Roussarie, R.; Rousseau, C. Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms. Moscow. Math. J. 4 (2004), no. 2, 455--502, 535.
  10. Jebrane, Ahmed; Mardesic, Pavao; Pelletier, Michele: A note on a generalization of Françoise's algorithm for calculating higher order Melnikov functions. Bull. Sci. Math. 128 (2004), no. 9, 749--760.
  11. Christopher, C.; Mardesic, P.; Rousseau, C. Normalizability, synchronicity, and relative exactness for vector fields in $C\sp 2$. J. Dynam. Control Systems 10 (2004), no. 4,501--525.
  12. Christopher, C.; Mardesic, P.; Rousseau, C. Normalizable,integrable, and linearizable saddle points for complex quadratic systems in $C\sp 2$. J. Dynam. Control Systems 9 (2003), no. 3, 311--363.
  13. Mardesic, P.; Marin, D.; Villadelprat, J. On the time function of the Dulac map for families of meromorphic vector fields. Nonlinearity 16 (2003), no. 3, 855--881.
  14. Jebrane, Ahmed; Mardesic, Pavao; Pelletier, Michèle : A generalization of Françoise's algorithm for calculating higher order Melnikov functions. Bull. Sci. Math. 126 (2002), no. 9,705--732.
  15. Giraldo, L.; Gomez-Mont, X.; Mardesic, P. On the index of vector fields tangent to hypersurfaces with non-isolated singularities. J. London Math. Soc. (2) 65 (2002), no. 2, 418--438.
  16. Giraldo, Luis; Gomez-Mont, Xavier; Mardesic, Pavao: Computation of topological numbers via linear algebra: hypersurfaces, vector fields and vector fields on hypersurfaces. Complex geometry of groups (Olmue, 1998), 175--182, Contemp.Math., 240, Amer. Math. Soc., Providence, RI, 1999.
  17. Gomes-Mont, Kh.; Mardesich, P. The index of a vector field tangent to an odd-dimensional hypersurface, and the signature of the relative Hessian. (Russian) Funktsional. Anal. i Prilozhen. 33(1999), no. 1, 1--13, 96; translation in Funct. Anal. Appl. 33(1999), no. 1, 1--10
  18. Mardesic, Pavao: Chebyshev systems and the versal unfolding of the cusps of order $n$. Travaux en Cours, 57. Hermann, Paris,1998. xiv+153 pp.
  19. Gomez-Mont, X.; Mardesic, P. The index of a vector field tangent to a hypersurface and the signature of the relative Jacobian determinant. Ann. Inst. Fourier (Grenoble) 47 (1997), no. 5,1523--1539.
  20. Mardesic, P.; Moser-Jauslin, L.; Rousseau, C. Darboux linearization and isochronous centers with a rational first integral. J. Differential Equations 134 (1997), no. 2, 216--268.
  21. Mardesic, P.; Rousseau, C.; Toni, B. Linearization of isochronous centers. J. Differential Equations 121 (1995), no. 1, 67--108.
  22. Mardesic, Pavao: Le déploiement versel du cusp d'ordre $n$.  C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), no. 12, 1235--1239.
  23. Mardesic, Pavao: An explicit bound for the multiplicity of zeros of generic Abelian integrals. Nonlinearity 4 (1991), no. 3, 845--852.
  24. Mardesic, P. The number of limit cycles of polynomial deformations of a Hamiltonian vector field. Ergodic Theory Dynam. Systems 10 (1990), no. 3, 523--529.
Articles de vulgarisation: 
  1. D. Sugny, H. R. Jauslin, P. Mardesic et M. Pelletier : La monodromie: Du tour du monde à la dynamique quantique, Accépté dans uBscience No 4,  (2009), 1-22