Professeurs

Schlomiuk, Dana

Professeur associé

Contact :

  • Téléphone 514-343-6434 Pav. André-Aisenstadt \ bur. AA-5149
Département de mathématiques et de statistique

Intérêts de recherche


Mes recherches récentes portent sur les champs de vecteurs dans le plan : intégrabilité, géométrie globale de certaines classes de systèmes différentiels polynomiaux, leurs diagrammes de bifurcations et leurs espaces de modules, applications aux problèmes classiques : 16e problème de Hilbert, problème de Poincaré, problème du centre.

Articles choisis

  • , Geometry of quadratic differential systems with a weak focus of second order, 76 (2012) International J. of Bifurcations and Chaos,
  • , Geometry of quadratic differential systems in the neighborhood of infinity, 215,, 357-400 (2005) J. of Differential Equations
  • , Planar quadratic vector fields with invariant lines of total multiplicity at least five, 5,, 135-194 (2004) Qualitative Theory of Dynamical Systems
  • , The Geometry of Quadratic Differential systems with a weak focus of third order, 56,, 310-343 (2004) Canadian Journal of Math.
  • , The mathematical legacy of C. S. Sibirsky, basis for future work, 1,, 3-6 (2003) Bulletin of the Academy of Sciences of Moldova
  • , On the geometric structure of the class of planar quadratic differential systems, 3,, 93-122 (2003) Qualitative Theory of Dynamical Systems
  • , The geometry in the neighborhood of infinity of quadratic differential systems with a weak focus, 2,, 1-43 (2001) Qualitative Theory of Dynamical Systems
  • , On the geometry of planar vector fields, 21,, 65-86 (1999) Mathematical Reports of the Royal Society of Canada
  • , Basic Algebro-Geometric concepts in the study of planar polynomial vector fields, 41, 269-295 (1997) Publicacions Mathématiques
  • , On the global analysis of the planar quadratic vector fields, 41,, 269-295 (1997) Nonlinear Analysis Theory, Methods and Applications
  • , Summing up the dynamics of quadratic Hamiltonian systems with a center, 49,, 583-599 (1997) Canadian Journal of Mathematics
  • , The centers in the reduced Kukles system, 8,, 388-436 (1995) Nonlinearity
  • , Cubic vector fields symmetric with respect to a center, 123,, 388-436 (1995) J. of Diff. Eq.
  • , The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms, 43,, 1407-1483 (1993) Annales de l'Institut Fourier
  • , Algebraic particular integrals, integrability and the problem of the center, 338,, 799-841 (1993) Transactions of the A.M.S.
  • , Elementary first integrals of differential equations and invariant algebraic curves, 11,, 433-454 (1993) Expositiones Mathematicae

Monographies et proceedings

  • , Finiteness problems in differential equations and diophantine geometry, American Mathematical Society,, 9 (2005) Differential Equations and Diophantine Geometry, CRM Monograph Series,
  • , Aspects of planar polynomial vector fields: Global versus local, real versus complex, analytic versus algebraic and geometric, NATO Science Series, Series II: Mathematics, vol. 137,, 471-509 (2004) Normal forms, Bifurcations and Finiteness Problems in Differential Equations, Yu.,
  • , Algebraic and geometric aspects of the theory of planar polynomial vector fields, NATO Advanced Study Institutes Series, Series C: Mathematical and Physical Sciences - vol. 408,, 429-467 (1993) Bifurcations and Periodic Orbits of Vector Fields
  • , La logica dei topos, 135 (1982) Traduction en italien du livre indiqué ci-dessous , La Goliardica Editrice
  • , Logique des topos, 132 (1976) Presses de l'Université de Montréal