D. Schlomiuk

发表

Generalized Hopf bifurcations and applications to planar quadratic systems

C. Rousseau, D. Schlomiuk, 1988 .

Global classification of the planar Lotka–Volterra differential systems according to their configurations of invariant straight lines

D. Schlomiuk, N. Vulpe, 2010 .

The Full Study of Planar Quadratic Differential Systems Possessing a Line of Singularities at Infinity

Dana Schlomiuk, Nicolae Vulpe, D. Schlomiuk, 2008 .

TOPOLOGICAL AND POLYNOMIAL INVARIANTS, MODULI SPACES, IN CLASSIFICATION PROBLEMS OF POLYNOMIAL VECTOR FIELDS

D. Schlomiuk, 2014 .

Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems

John Guckenheimer, Richard H. Rand, J. Guckenheimer, 1989 .

Bifurcations and Periodic Orbits of Vector Fields

Dana Schlomiuk, D. Schlomiuk, 1993 .

On the geometric structure of the class of planar quadratic differential systems

Dana Schlomiuk, Robert Roussarie, D. Schlomiuk, 2002 .

Bifurcation Diagrams and Moduli Spaces of Planar Quadratic Vector Fields with Invariant Lines of Total Multiplicity Four and Having Exactly Three Real Singularities at Infinity

D. Schlomiuk, N. Vulpe, 2010 .

Geometry of quadratic differential systems in the neighbourhood of infinity

D. Schlomiuk, N. Vulpe, 2004, math/0405026.

Planar quadratic differential systems with invariant straight lines of the total multiplicity 4

D. Schlomiuk, N. Vulpe, 2004, math/0405319.

Planar quadratic vector fields with invariant lines of total multiplicity at least five

D. Schlomiuk, N. Vulpe, 2004, math/0405094.

Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four

D. Schlomiuk, N. Vulpe, 2006 .

The Geometry of Quadratic Differential Systems with a Weak Focus of Third Order

Jaume Llibre, Dana Schlomiuk, J. Llibre, 2004, Canadian Journal of Mathematics.

Summing up the Dynamics of Quadratic Hamiltonian Systems With a Center

Dana Schlomiuk, D. Schlomiuk, Janos Pal, 1997, Canadian Journal of Mathematics.

Aspects of planar polynomial vector fields: global versus local, real versus complex, analytic versus algebraic and geometric

Dana Schlomiuk, D. Schlomiuk, 2004 .

Dimensions of orbits and strata in complex and real classical Lie algebras

C. Rousseau, D. Schlomiuk, J. Patera, 1982 .

On the geometry in the neighborhood of infinity of quadratic differential systems with a weak focus

Jayanta Kumar Pal, Dana Schlomiuk, D. Schlomiuk, 2001 .

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

Joan C. Artés, J. Llibre, D. Schlomiuk, 2021 .

Quadratic differential systems with complex conjugate invariant lines meeting at a finite point

D. Schlomiuk, Xiang Zhang, 2018, Journal of Differential Equations.

Planar quadratic differential systems with invariant straight lines of total multiplicity four

Dana Schlomiuk, Nicolae Vulpe, D. Schlomiuk, 2008 .

Geometry of quadratic di erential systems in the neighborhood of infinity

Dana Schlomiuk, Nicolae Vulpe, D. Schlomiuk, 2005 .

On Families QSL $$_{\ge 2}$$ of Quadratic Systems with Invariant Lines of Total Multiplicity At Least 2

D. Schlomiuk, N. Vulpe, Cristina Bujac, 2022, Qualitative Theory of Dynamical Systems.

Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials

Dana Schlomiuk, Alex C. Rezende, Nicolae Vulpe, 2021, Revista Matemática Complutense.

Geometry, integrability and bifurcation diagrams of a family of quadratic differential systems as application of the Darboux theory of integrability

Dana Schlomiuk, Claudia Valls, Regilene Oliveira, 2021, Electronic Journal of Qualitative Theory of Differential Equations.

Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point

Joan C. Artés, J. Llibre, D. Schlomiuk, 2020, Rendiconti del Circolo Matematico di Palermo Series 2.

Global Topological Configurations of Singularities for the Whole Family of Quadratic Differential Systems

Joan C. Artés, D. Schlomiuk, N. Vulpe, 2020, Qualitative Theory of Dynamical Systems.

Global Topological Configurations of Singularities for the Whole Family of Quadratic Differential Systems

Joan C. Artés, J. Llibre, D. Schlomiuk, 2020 .

Classification of the family of quadratic differential systems possessing invariant ellipses.

Alex C. Rezende, D. Schlomiuk, N. Vulpe, 2019 .

Family of quadratic differential systems with a Darboux invariant and an invariant conic

D. Schlomiuk, N. Vulpe, 2018 .

GEOMETRIC AND ALGEBRAIC CLASSIFICATION OF QUADRATIC DIFFERENTIAL SYSTEMS WITH INVARIANT HYPERBOLAS

Alex C. Rezende, D. Schlomiuk, N. Vulpe, 2017 .

Bifurcation Diagrams and Quotient Topological Spaces Under the Action of the Affine Group of a Family of Planar Quadratic Vector Fields

Dana Schlomiuk, Nicolae Vulpe, Oxana Cerba Diaconescu, 2015, Int. J. Bifurc. Chaos.

FROM TOPOLOGICAL TO GEOMETRIC EQUIVALENCE IN THE CLASSIFICATION OF SINGULARITIES AT INFINITY FOR QUADRATIC VECTOR FIELDS

Joan C. Artés, J. Llibre, D. Schlomiuk, 2015 .

Global Configurations of Singularities for Quadratic Differential Systems with Total Finite Multiplicity Three and at Most Two Real Singularities

Joan C. Artés, D. Schlomiuk, N. Vulpe, 2014, Qualitative Theory of Dynamical Systems.

Global Configurations of Singularities for Quadratic Differential Systems with Total Finite Multiplicity Three and at Most Two Real Singularities

Joan C. Artés, J. Llibre, D. Schlomiuk, 2014 .

Geometric configurations of singularities for quadratic differential systems with total finite multiplicity m_f=2

Joan C. Artés, J. Llibre, D. Schlomiuk, 2014 .

GEOMETRIC CLASSIFICATION OF CONFIGURATIONS OF SINGULARITIES WITH TOTAL FINITE MULTIPLICITY FOUR FOR A CLASS OF QUADRATIC SYSTEMS

Alex C. Rezende, J. Llibre, D. Schlomiuk, 2014 .

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

Joan C. Artés, Alex C. Rezende, J. Llibre, 2014 .

Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities

Joan C. Artés, D. Schlomiuk, N. Vulpe, 2013, Journal of Fixed Point Theory and Applications.

Applications of Symbolic Calculations and Polynomial Invariants to the Classification of Singularities of Differential Systems

Dana Schlomiuk, Nicolae Vulpe, D. Schlomiuk, 2013, CASC.

CONFIGURATIONS OF SINGULARITES FOR QUADRATIC DIFFERENTIAL SYSTEMS WITH TOTAL FINITE MULTIPLICITY LOWER THAN 2

Joan C. Artés, J. Llibre, D. Schlomiuk, 2013 .

Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2

Joan C. Artés, J. Llibre, D. Schlomiuk, 2013 .

Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities

Joan C. Artés, J. Llibre, D. Schlomiuk, 2013 .

GLOBAL TOPOLOGICAL CLASSIFICATION OF LOTKA-VOLTERRA QUADRATIC DIFFERENTIAL SYSTEMS

D. Schlomiuk, N. Vulpe, 2012 .

Invariants and symbolic calculations in the theory of quadratic differential systems

Dana Schlomiuk, Nicolae Vulpe, D. Schlomiuk, 2011, ACCA.

The Geometry of Quadratic Polynomial Differential Systems with a Weak Focus and an Invariant Straight Line

Jaume Llibre, Joan C. Artés, Dana Schlomiuk, 2010, Int. J. Bifurc. Chaos.

Integrals and Phase Portraits of Planar Quadratic Differential Systems With Invariant Lines of at Least Five Total Multiplicity

Dana Schlomiuk, Nicolae Vulpe, D. Schlomiuk, 2008 .

The Geometry of Quadratic Differential Systems with a Weak Focus of Second Order

Jaume Llibre, Joan C. Artés, Dana Schlomiuk, 2006, Int. J. Bifurc. Chaos.

On the limit cycles bifurcating from an ellipse of a quadratic center

J. Llibre, D. Schlomiuk, 2014 .

On the global analysis of the planar quadratic vector fields

D. Schlomiuk, 1997 .

Basic algebro-geometric concepts in the study of planar polynomial vector fields

D. Schlomiuk, 1997 .

Around the Hilbert-Arnol’d problem

D. Schlomiuk, A. Buium, V. Kaloshin, 2005 .

On finiteness in differential equations and diophantine geometry

D. Schlomiuk, A. Buium, V. Kaloshin, 2005 .

An elementary theory of the category of topological spaces

D. Schlomiuk, 1970 .

Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields

Dana Schlomiuk, D. Schlomiuk, 1993 .

Algebraic particular integrals, integrability and the problem of the center

D. Schlomiuk, N. Bautin, N. A. Sakharnikov, 1993 .

The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms

D. Schlomiuk, J. Écalle, 1993 .