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Dana Schlomiuk

Observed names: D Schlomiuk, D. Schlomiuk, DANA SCHLOMIUK, Dana I. Schlomiuk, Schlomiuk, D.I., Schlomiuk, Dana, Schlomiuk, Dana I.
Observed institutions: Universitat Autònoma de Barcelona, Cornell University, Moldova State University, Institute of Mathematics and Computer Science, Centre de recherches mathématiques, McGill University, Université de Montréal
ORCID: 0000-0003-4136-0208
Observed ORCID: 0000-0003-4136-0208
OpenAlex ID: A5039029233
Algebraic Particular Integrals, Integrability and the Problem of the Center
1993 · Dana Schlomiuk · Transactions of the American Mathematical Society · 203
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Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields
1993 · Dana Schlomiuk · Springer eBooks · 127
Bifurcations and Periodic Orbits of Vector Fields
1993 · Schlomiuk, Dana · Springer eBooks · 94
Bifurcations and Periodic Orbits of Vector Fields
1993 · Dana Schlomiuk · 76
The Geometry of Quadratic Differential Systems With a Weak Focus of Second Order
2006 · JOAN C. ARTÉS, JAUME LLIBRE, et al. · International Journal of Bifurcation and Chaos · 70
Planar quadratic vector fields with invariant lines of total multiplicity at least five
2004 · Dana Schlomiuk, Nicolae Vulpe · Qualitative Theory of Dynamical Systems · 57
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Geometry of quadratic differential systems in the neighborhood of infinity
2005 · Dana Schlomiuk, Nicolae Vulpe · Journal of Differential Equations · 56
The Geometry of Quadratic Differential Systems with a Weak Focus of Third Order
2004 · Jaume Llibre, Dana Schlomiuk · Canadian Journal of Mathematics · 55
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Geometric Configurations of Singularities of Planar Polynomial Differential Systems
2021 · Joan C. Artés, Jaume Llibre, et al. · Springer eBooks · 54
Integrals and Phase Portraits of Planar Quadratic Differential Systems With Invariant Lines of at Least Five Total Multiplicity
2008 · Dana Schlomiuk, Nicolae Vulpe · Rocky Mountain Journal of Mathematics · 44
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The Full Study of Planar Quadratic Differential Systems Possessing a Line of Singularities at Infinity
2008 · Dana Schlomiuk, Nicolae Vulpe · Journal of Dynamics and Differential Equations · 39
Planar quadratic differential systems with invariant straight lines of total multiplicity four
2007 · Dana Schlomiuk, Nicolae Vulpe · Nonlinear Analysis · 38
Global classification of the planar Lotka–Volterra differential systems according to their configurations of invariant straight lines
2010 · Dana Schlomiuk, Nicolae Vulpe · Journal of Fixed Point Theory and Applications · 36
On the geometry in the neighborhood of infinity of quadratic differential systems with a weak focus
2001 · Dana Schlomiuk, Janos Pal · Qualitative Theory of Dynamical Systems · 32
Summing up the Dynamics of Quadratic Hamiltonian Systems With a Center
1997 · Janos Pal, Dana Schlomiuk · Canadian Journal of Mathematics · 29
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Cubic Vector Fields Symmetrical with Respect to a Center
1995 · C. Rousseau, D. Schlomiuk · Journal of Differential Equations · 26
The centres in the reduced Kukles system
1995 · C Rousseau, D Schlomiuk, et al. · Nonlinearity · 25
From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields
2015 · J.C. Artés, J. Llibre, et al. · Rocky Mountain Journal of Mathematics · 23
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On general algebraic mechanisms for producing centers in polynomial differential systems
2008 · Colin Christopher, Dana Schlomiuk · Journal of Fixed Point Theory and Applications · 23
Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four
2008 · Dana Schlomiuk, Vulpe Nicolae · 22
Global Topological Configurations of Singularities for the Whole Family of Quadratic Differential Systems
2020 · Joan C. Artés, Jaume Llibre, et al. · Qualitative Theory of Dynamical Systems · 21
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Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems
1989 · J Guckenheimer, R Rand, et al. · Nonlinearity · 21
An Elementary Theory of the Category of Topological Spaces
1970 · Dana I. Schlomiuk · Transactions of the American Mathematical Society · 18
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Global topological classification of Lotka-Volterra quadratic differential systems
2012 · Dana Schlomiuk, Nicolae Vulpe · DOAJ (DOAJ: Directory of Open Access Journals) · 17
Generalized Hopf bifurcations and applications to planar quadratic systems
1988 · C. Rousseau, D. Schlomiuk · Annales Polonici Mathematici · 17
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Works count: 118
Citation count: 1,425
H-index: 21
I10-index: 29
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