Articles publiés dans des Journaux Scientifiques
avec Comité de Lecture (depuis 1993):
J. C. Artés, J. Llibre and D. Schlomiuk ,
Geometry of quadratic differential systems with a weak focus of
second order, International J. of Bifurcations and Chaos, 76
pages, to appear.
D. Schlomiuk and N. Vulpe, Geometry of quadratic
differential systems in the neighborhood of infinity, J. of
Differential Equations 215, pp. 357-400 (2005).
D. Schlomiuk and N. Vulpe, Planar quadratic
vector fields with invariant lines of total multiplicity at least
five, Qualitative Theory of Dynamical Systems, 5, pp.
135-194 (2004).
J. Llibre and D. Schlomiuk The Geometry of
Quadratic Differential systems with a weak focus of third order,
Canadian Journal of Math., Vol. 56, (2004) pp. 310-343.
D. Schlomiuk The mathematical legacy of C. S.
Sibirsky, basis for future work, Bulletin of the Academy of
Sciences of Moldova, 1 (2003), 3-6 pp.
R. Roussarie and D. Schlomiuk On the geometric structure
of the class of planar quadratic differential systems,
Qualitative Theory of Dynamical Systems, 3 (2002), 93-122.
D. Schlomiuk and J. Pal The geometry in the
neighborhood of infinity of quadratic differential systems with a
weak focus, Qualitative Theory of Dynamical Systems, 2
(2001), 1-43 pp.
D. Schlomiuk On the geometry of planar vector
fields, Mathematical Reports of the Royal Society of Canada, Vol.
21, No 3, pp 65-86, (1999).
D. Schlomiuk Basic Algebro-Geometric concepts in
the study of planar polynomial vector fields, Publicacions
Matem\`atiques, Vol. 41, pp 269-295, (1997).
D. Schlomiuk On the global analysis of the
planar quadratic vector fields, Nonlinear Analysis Theory,
Methods and Applications, Vol. 41, pp. 269-295, (1997).
J. Pal and D. Schlomiuk, Summing up the dynamics
of quadratic Hamiltonian systems with a center, Canadian Journal
of Mathematics, Vol. 49 (3), (1997) pp. 583-599.
C. Rousseau, P. Thibaudeau and D. Schlomiuk, The
centers in the reduced Kukles system, Nonlinearity, 8,
(1995), pp. 388-436.
C. Rousseau and D. Schlomiuk Cubic vector fields
symmetric with respect to a center, J. of Diff. Eq, 123,
(1995), pp. 388-436.
J. Ecalle and D. Schlomiuk, The nilpotent part
and distinguished form of resonant vector fields or
diffeomorphisms, Annales de l'Institut Fourier, vol. 43,
Fascicule 5, (1993), pp. 1407-1483.
D. Schlomiuk Algebraic particular integrals,
integrability and the problem of the center, Transactions of the
A.M.S., Vol. 338, Number 2, (1993), pp. 799-841.
D. Schlomiuk Elementary first integrals of
differential equations and invariant algebraic curves,
Expositiones Mathematicae, 11 (1993), pp. 433-454.
Articles soumis pour publication dans des Revues
Scientifiques avec Comité de Lecture:
D. Schlomiuk and N. Vulpe, The full study of
planar quadratic differential systems possessing a line of
singularities at infinity, 38 pp.
D. Schlomiuk and N. Vulpe, Integrals and phase
portraits of planar quadratic differential systems with invariant
lines of at least five total multiplicity, 41 pp.
D. Schlomiuk and N. Vulpe, Planar quadratic
differential systems with invariant straight lines of total
multiplicity four, 40 pp.
Chapitres de livres:
D. Schlomiuk, Finiteness problems in differential
equations and diophantine geometry in On Finiteness in
Differential Equations and Diophantine Geometry CRM Monograph
Series, American Mathematical Society, D. Schlomiuk Editor, 9 pp.,
2005.
D. Schlomiuk Aspects of planar polynomial vector
fields: Global versus local, real versus complex, analytic versus
algebraic and geometric, in Normal forms, Bifurcations and
Finiteness Problems in Differential Equations, Yu. Ilyashenko and
C. Rousseau editors, NATO Science Series, Kluwer Academic
Publishers, Series II: Mathematics, Physics and Chemistry, Vol.
137, 2004,pp. 471-509.
D. Schlomiuk Algebraic and geometric aspects of
the theory of planar polynomial vector fields, in Bifurcations
and Periodic Orbits of Vector Fields, D. Schlomiuk Editor, NATO
Advanced Study Institutes Series, Series C: Mathematical and
Physical Sciences- Vol.408, Kluwer Academic Publishers, pp.
429-467, (1993).
Livres publiés:
D. Schlomiuk Logique des topos, Presses de
l'Université de Montréal, 1976, 132 pages.
D. Schlomiuk La logica dei topos, La Goliardica
Editrice, (traduction en italien du livre indiqué ci-dessus),
1982, 135 pages.
Livres édités:
D. Schlomiuk (Editor), On Finiteness in
Differential Equations and Diophantine Geometry CRM Monograph
Series, American Mathematical society, 2005, pp. 182.
D. Schlomiuk (Editor), Bifurcations and Periodic
Orbits of Vector Fields, Kluwer Academic Publishers, NATO
Advanced Study Institute Series, Series C: Mathematical and
Physical Sciences- Vol.408, (1993).