N. Vulpe

发表

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 .

Leonid Antonovich Cherkas

V. I. Mironenko, I. Gaishun, N. Vulpe, 2011 .

Affine invariant conditions for the topological distinction of quadratic systems with a critical point of the 4th multiplicity

N. Vulpe, Mark Voldman, Iu. T. Calin, 1996 .

Affine invariant conditions for topologically distinguishing quadratic systems with m f = 1

N. Vulpe, A. Voldman, 1998 .

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.

First Integrals and Phase Portraits of Planar Polynomial Differential Cubic Systems with the Maximum Number of Invariant Straight Lines

N. Vulpe, J. Llibre, Cristina Bujac, 2016, Qualitative Theory of Dynamical Systems.

Cubic Differential Systems with Invariant Straight Lines of Total Multiplicity Eight possessing One Infinite Singularity

N. Vulpe, Cristina Bujac, 2016, Qualitative Theory of Dynamical Systems.

Cubic Systems with Invariant Straight Lines of Total Multiplicity Eight and with Three Distinct Infinite Singularities

N. Vulpe, Cristina Bujac, 2014, Qualitative Theory of Dynamical Systems.

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.

Irony and the Unity of the Gilgamesh Epic

N. Vulpe, 1994, Journal of Near Eastern Studies.

Characterization of the finite weak singularities of quadratic systems via invariant theory

N. Vulpe, 2011 .

When singular points determine quadratic systems

Joan C. Artés, J. Llibre, N. Vulpe, 2008 .

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

D. Schlomiuk, N. Vulpe, 2006 .

T-comitants and the Problem of a Center for Quadratic Differential Systems

N. Vulpe, A. Voldman, 1999 .

Singular Points of Quadratic Systems: a Complete Classification in the Coefficient Space R12

JAUME LLIBRE, JOAN C. ARTES, NICOLAE VULPE, 2008, Int. J. Bifurc. Chaos.

Solution of the problem of the center “in the large” for a general quadratic differential system

N. Vulpe, D. Boularas, Constantin Sergeivitch Sibirskii, 1989 .

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

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

Quadratic systems with a polynomial first integral: A complete classification in the coefficient space R12

Jaume Llibre, Joan C. Artés, Nicolae Vulpe, 2009 .

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

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

Quadratic systems with a rational first integral of degree three: a complete classification in the coefficient space ℝ12

Joan C. Artés, J. Llibre, N. Vulpe, 2007 .

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.

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 .

Family of quadratic differential systems with invariant hyperbolas: a complete classification in the space 'R POT. 12'

Alex C. Rezende, N. Vulpe, Regilene D. S. Oliveira, 2016 .

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 .

QUADRATIC SYSTEMS WITH AN INTEGRABLE SADDLE: A COMPLETE CLASSIFICATION IN THE COEFFICIENT SPACE R 12

Joan C. Artés, J. Llibre, N. Vulpe, 2012 .

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.

A complete classification of quadratic differential systems according to the dimensions of Aff (2, R)−orbits

N. Vulpe, V. Orlov, N. Gherstega, 2009 .

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 .

Topological Classification of Quadratic Systems at Infinity

I. Nikolaev, N. Vulpe, 1997 .

Complete geometric invariant study of two classes of quadratic systems

Joan C. Artés, J. Llibre, N. Vulpe, 2012 .