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Nicolae Vulpe
Nicolae Vulpe
Moldova State University, Vladimir Andrunachievici Institute of Mathematics and Computer Science
Verified email at math.usm.md - Homepage
Title
Cited by
Cited by
Year
Affine-invariant conditions for topological distinction of quadratic systems in the presence of a center
NI Vulpe
Differentsial'nye Uravneniya 19 (3), 371-379, 1983
1081983
Polynomial bases of comitants of differential systems and their applications in qualitative theory
NI Vulpe
Shtiintsa”, Kishinev, 1986
1001986
Geometry of quadratic differential systems in the neighborhood of infinity
D Schlomiuk, N Vulpe
Journal of Differential Equations 215 (2), 357-400, 2005
962005
Planar cubic polynomial differential systems with the maximum number of invariant straight lines
J Llibre, N Vulpe
The Rocky Mountain Journal of Mathematics, 1301-1373, 2006
802006
Integrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicity
D Schlomiuk, N Vulpe
The Rocky Mountain Journal of Mathematics, 2015-2075, 2008
782008
The full study of planar quadratic differential systems possessing a line of singularities at infinity
D Schlomiuk, N Vulpe
Journal of Dynamics and Differential Equations 20, 737-775, 2008
762008
Planar quadratic differential systems with invariant straight lines of total multiplicity four
D Schlomiuk, N Vulpe
Nonlinear Analysis: Theory, Methods & Applications 68 (4), 681-715, 2008
682008
Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four
D Schlomiuk, N Vulpe
Buletinul Academiei de Ştiinţe a Moldovei. Matematica 56 (1), 27-83, 2008
652008
Total multiplicity of all finite critical points of the polynomial differential system, Planar nonlinear dynamical systems (Delft, 1995)
VA Baltag, NI Vulpe
Differential Equations & Dynam. Systems 5, 455-471, 1997
651997
Global classification of the planar Lotka–Volterra differential systems according to their configurations of invariant straight lines
D Schlomiuk, N Vulpe
Journal of Fixed Point Theory and Applications 8 (1), 177-245, 2010
622010
Centro-affine invariant conditions for the existence of a center of a differential system with cubic nonlinearities
NI Vulpe, KS Sibirskii
Doklady Akademii Nauk 301 (6), 1297-1301, 1988
601988
Planar quadratic differential systems with invariant straight lines of at least five total multiplicity
D Schlomiuk, N Vulpe
Qualitative Theory of Dynamical Systems 5, 135-194, 2004
582004
Global topological classification of Lotka–Volterra quadratic differential systems
D Schlomiuk, N Vulpe
Electron. J. Differential Equations 64 (2012), 69, 2012
532012
SINGULAR POINTS OF QUADRATIC SYSTEMS: A COMPLETE CLASSIFICATION IN THE COEFFICIENT SPACE ℝ12
JC Artes, J Llibre, N Vulpe
International Journal of Bifurcation and Chaos 18 (02), 313-362, 2008
532008
From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields
JC Artes, J Llibre, D Schlomiuk, N Vulpe
422015
Characterization of the finite weak singularities of quadratic systems via invariant theory
N Vulpe
Nonlinear Analysis: Theory, Methods & Applications 74 (17), 6553-6582, 2011
422011
Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities
C Bujac, N Vulpe
Journal of Mathematical Analysis and Applications 423 (2), 1025-1080, 2015
402015
Topological classification of quadratic systems at infinity
I Nikolaev, N Vulpe
Journal of the London Mathematical Society 55 (3), 473-488, 1997
401997
Complete geometric invariant study of two classes of quadratic systems
JC Artes, J Llibre, N Vulpe
Electron. J. Differential Equations 9 (2012), 1-35, 2012
392012
Planar quadratic vector fields with invariant lines of total multiplicity at least five
D Schlomiuk, N Vulpe
Qualitative Theory of Dynamical Systems 5, 135-194, 2004
392004
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