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Vulpe, Nicolae I.

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Author ID: vulpe.nicolae-i Recent zbMATH articles by "Vulpe, Nicolae I."
Published as: Vulpe, N.; Vulpe, N. I.; Vulpe, Nicolae; Vulpe, Nicolae I.
External Links: ORCID
Documents Indexed: 98 Publications since 1974, including 2 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 311 times in 109 Documents Cited by Year
Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016
Schlomiuk, Dana; Vulpe, Nicolae
26
2004
Geometry of quadratic differential systems in the neighborhood of infinity. Zbl 1090.34024
Schlomiuk, Dana; Vulpe, Nicolae
24
2005
The full study of planar quadratic differential systems possessing a line of singularities at infinity. Zbl 1168.34024
Schlomiuk, Dana; Vulpe, Nicolae
19
2008
Integrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicity. Zbl 1175.34037
Schlomiuk, Dana; Vulpe, Nicolae
17
2008
Affine-invariant conditions for the topological discrimination of quadratic systems with a center. Zbl 0556.34019
Vulpe, N. I.
17
1983
Singular points of quadratic systems: A complete classification in the coefficient space \(\mathbb R^{12}\). Zbl 1206.34051
Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae
15
2008
Planar quadratic differential systems with invariant straight lines of total multiplicity four. Zbl 1136.34037
Schlomiuk, Dana; Vulpe, Nicolae
15
2008
Polynomial bases of the comitants of differential systems and their applications in qualitative theory. (Polinomial’nye bazisy komitantov differentsial’nykh sistem i ikh prilozheniya v kachestvennoj teorii). Zbl 0642.34001
Vulpe, N. I.
15
1986
Centroaffine invariant conditions for the existence of a center of a differential system with cubic nonlinearities. Zbl 0674.34025
Vulpe, N. I.; Sibirskij, K. S.
13
1989
Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four. Zbl 1159.34329
Schlomiuk, Dana; Vulpe, Nicolae
12
2008
Total multiplicity of all finite critical points of the polynomial differential system. Zbl 0942.34027
Baltag, V. A.; Vulpe, N. I.
12
1997
Affine-invariant conditions for topological distinguishing of quadratic systems in the presence of a center. Zbl 0514.34030
Vulpe, N. I.
12
1983
Geometric classification of quadratic differential systems. Zbl 0396.34042
Vulpe, N. I.; Sibirskij, K. S.
12
1977
Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines. Zbl 1205.34073
Schlomiuk, Dana; Vulpe, Nicolae
11
2010
Quadratic systems with a polynomial first integral: A complete classification in the coefficient space \(\mathbb R^{12}\). Zbl 1170.34003
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae
8
2009
Complete geometric invariant study of two classes of quadratic systems. Zbl 1243.34044
Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae
7
2012
Characterization of the finite weak singularities of quadratic systems via invariant theory. Zbl 1364.34038
Vulpe, Nicolae
7
2011
Planar cubic polynomial differential systems with the maximum number of invariant straight lines. Zbl 1139.34035
Llibre, Jaume; Vulpe, Nicolae
7
2006
Topological classification of quadratic systems at infinity. Zbl 0869.34027
Nikolaev, Igor; Vulpe, Nicolae I.
7
1997
Affine-invariant conditions for determining the number and multiplicity of singular points of quadratic differential systems. Zbl 0842.34028
Baltag, V. A.; Vulpe, N. I.
7
1993
Global topological classification of Lotka-Volterra quadratic differential systems. Zbl 1256.34036
Schlomiuk, Dana; Vulpe, Nicolae
5
2012
Quadratic system with a rational first integral of degree 2: a complete classification in the coefficient space \(\mathbb{R}^{12}\). Zbl 1196.34014
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae
5
2007
From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields. Zbl 1318.34045
Artés, J. C.; Llibre, J.; Schlomiuk, D.; Vulpe, N.
3
2015
Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities. Zbl 1312.34070
Bujac, Cristina; Vulpe, Nicolae
3
2015
Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral. Zbl 1232.34006
Llibre, Jaume; Mahdi, Adam; Vulpe, Nicolae
3
2011
Affine-invariant conditions of topological discrimination of quadratic Hamilton differential systems. Zbl 0948.37042
Kalin, Yu. F.; Vulpe, N. I.
3
1998
First integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight lines. Zbl 1367.34030
Bujac, Cristina; Llibre, Jaume; Vulpe, Nicolae
2
2016
Classification of cubic differential systems with invariant straight lines of total multiplicity eight and two distinct infinite singularities. Zbl 1349.34038
Bujac, Cristina; Vulpe, Nicolae
2
2015
Cubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities. Zbl 1319.34050
Bujac, Cristina; Vulpe, Nicolae
2
2015
Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities. Zbl 1308.58026
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
2
2013
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2. Zbl 1331.37026
Artés, J. C.; Llibre, J.; Schlomiuk, D.; Vulpe, N.
2
2013
Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\). Zbl 1253.34036
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae
2
2012
When singular points determine quadratic systems. Zbl 1192.34036
Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae
2
2008
Number and multiplicity of singular points of a quadratic differential system. Zbl 0788.34020
Baltag, V. A.; Vulpe, N. I.
2
1992
The problem of a center “in the large” for a general quadratic system. Zbl 0732.34031
Bularas, D.; Vulpe, N. I.; Sibirskiĭ, K. S.
2
1990
Affine Klassifizierung eines quadratischen Systems. Zbl 0299.34015
Vulpe, N. I.; Sibirskij, K. S.
2
1974
Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
1
2020
Bifurcation diagrams and quotient topological spaces under the action of the affine group of a family of planar quadratic vector fields. Zbl 1327.34066
Diaconescu, Oxana Cerba; Schlomiuk, Dana; Vulpe, Nicolae
1
2015
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity \(m_f=2\). Zbl 1302.58018
Artes, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
1
2014
Applications of symbolic calculations and polynomial invariants to the classification of singularities of differential systems. Zbl 1409.68347
Schlomiuk, Dana; Vulpe, Nicolae
1
2013
Quadratic systems with dicritical points. Zbl 0858.34027
Vulpe, N. I.; Lupan, M. N.
1
1994
Geometrische Klassifikation des quadratischen Differentialsystems. Zbl 0362.34032
Vulpe, N. I.; Sibirskij, K. S.
1
1977
Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
1
2020
First integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight lines. Zbl 1367.34030
Bujac, Cristina; Llibre, Jaume; Vulpe, Nicolae
2
2016
From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields. Zbl 1318.34045
Artés, J. C.; Llibre, J.; Schlomiuk, D.; Vulpe, N.
3
2015
Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities. Zbl 1312.34070
Bujac, Cristina; Vulpe, Nicolae
3
2015
Classification of cubic differential systems with invariant straight lines of total multiplicity eight and two distinct infinite singularities. Zbl 1349.34038
Bujac, Cristina; Vulpe, Nicolae
2
2015
Cubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities. Zbl 1319.34050
Bujac, Cristina; Vulpe, Nicolae
2
2015
Bifurcation diagrams and quotient topological spaces under the action of the affine group of a family of planar quadratic vector fields. Zbl 1327.34066
Diaconescu, Oxana Cerba; Schlomiuk, Dana; Vulpe, Nicolae
1
2015
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity \(m_f=2\). Zbl 1302.58018
Artes, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
1
2014
Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities. Zbl 1308.58026
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae
2
2013
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2. Zbl 1331.37026
Artés, J. C.; Llibre, J.; Schlomiuk, D.; Vulpe, N.
2
2013
Applications of symbolic calculations and polynomial invariants to the classification of singularities of differential systems. Zbl 1409.68347
Schlomiuk, Dana; Vulpe, Nicolae
1
2013
Complete geometric invariant study of two classes of quadratic systems. Zbl 1243.34044
Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae
7
2012
Global topological classification of Lotka-Volterra quadratic differential systems. Zbl 1256.34036
Schlomiuk, Dana; Vulpe, Nicolae
5
2012
Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\). Zbl 1253.34036
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae
2
2012
Characterization of the finite weak singularities of quadratic systems via invariant theory. Zbl 1364.34038
Vulpe, Nicolae
7
2011
Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral. Zbl 1232.34006
Llibre, Jaume; Mahdi, Adam; Vulpe, Nicolae
3
2011
Global classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight lines. Zbl 1205.34073
Schlomiuk, Dana; Vulpe, Nicolae
11
2010
Quadratic systems with a polynomial first integral: A complete classification in the coefficient space \(\mathbb R^{12}\). Zbl 1170.34003
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae
8
2009
The full study of planar quadratic differential systems possessing a line of singularities at infinity. Zbl 1168.34024
Schlomiuk, Dana; Vulpe, Nicolae
19
2008
Integrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicity. Zbl 1175.34037
Schlomiuk, Dana; Vulpe, Nicolae
17
2008
Singular points of quadratic systems: A complete classification in the coefficient space \(\mathbb R^{12}\). Zbl 1206.34051
Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae
15
2008
Planar quadratic differential systems with invariant straight lines of total multiplicity four. Zbl 1136.34037
Schlomiuk, Dana; Vulpe, Nicolae
15
2008
Integrals and phase portraits of planar quadratic differential systems with invariant lines of total multiplicity four. Zbl 1159.34329
Schlomiuk, Dana; Vulpe, Nicolae
12
2008
When singular points determine quadratic systems. Zbl 1192.34036
Artes, Joan C.; Llibre, Jaume; Vulpe, Nicolae
2
2008
Quadratic system with a rational first integral of degree 2: a complete classification in the coefficient space \(\mathbb{R}^{12}\). Zbl 1196.34014
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae
5
2007
Planar cubic polynomial differential systems with the maximum number of invariant straight lines. Zbl 1139.34035
Llibre, Jaume; Vulpe, Nicolae
7
2006
Geometry of quadratic differential systems in the neighborhood of infinity. Zbl 1090.34024
Schlomiuk, Dana; Vulpe, Nicolae
24
2005
Planar quadratic vector fields with invariant lines of total multiplicity at least five. Zbl 1101.34016
Schlomiuk, Dana; Vulpe, Nicolae
26
2004
Affine-invariant conditions of topological discrimination of quadratic Hamilton differential systems. Zbl 0948.37042
Kalin, Yu. F.; Vulpe, N. I.
3
1998
Total multiplicity of all finite critical points of the polynomial differential system. Zbl 0942.34027
Baltag, V. A.; Vulpe, N. I.
12
1997
Topological classification of quadratic systems at infinity. Zbl 0869.34027
Nikolaev, Igor; Vulpe, Nicolae I.
7
1997
Quadratic systems with dicritical points. Zbl 0858.34027
Vulpe, N. I.; Lupan, M. N.
1
1994
Affine-invariant conditions for determining the number and multiplicity of singular points of quadratic differential systems. Zbl 0842.34028
Baltag, V. A.; Vulpe, N. I.
7
1993
Number and multiplicity of singular points of a quadratic differential system. Zbl 0788.34020
Baltag, V. A.; Vulpe, N. I.
2
1992
The problem of a center “in the large” for a general quadratic system. Zbl 0732.34031
Bularas, D.; Vulpe, N. I.; Sibirskiĭ, K. S.
2
1990
Centroaffine invariant conditions for the existence of a center of a differential system with cubic nonlinearities. Zbl 0674.34025
Vulpe, N. I.; Sibirskij, K. S.
13
1989
Polynomial bases of the comitants of differential systems and their applications in qualitative theory. (Polinomial’nye bazisy komitantov differentsial’nykh sistem i ikh prilozheniya v kachestvennoj teorii). Zbl 0642.34001
Vulpe, N. I.
15
1986
Affine-invariant conditions for the topological discrimination of quadratic systems with a center. Zbl 0556.34019
Vulpe, N. I.
17
1983
Affine-invariant conditions for topological distinguishing of quadratic systems in the presence of a center. Zbl 0514.34030
Vulpe, N. I.
12
1983
Geometric classification of quadratic differential systems. Zbl 0396.34042
Vulpe, N. I.; Sibirskij, K. S.
12
1977
Geometrische Klassifikation des quadratischen Differentialsystems. Zbl 0362.34032
Vulpe, N. I.; Sibirskij, K. S.
1
1977
Affine Klassifizierung eines quadratischen Systems. Zbl 0299.34015
Vulpe, N. I.; Sibirskij, K. S.
2
1974
all top 5

Cited by 95 Authors

57 Llibre, Jaume
25 Vulpe, Nicolae I.
18 Schlomiuk, Dana I.
15 Artés, Joan Carles
12 Valls Anglés, Cláudia
5 Ferragut, Antoni
5 Giné, Jaume
5 Oliveira, Regilene D. S.
4 Bujac, Cristina
4 Colak, Ilker E.
4 Zhang, Xiang
3 García, Belén
3 Li, Shimin
3 Pérez del Río, Jesús S.
3 Rezende, Alex C.
2 Cairó, Laurent
2 Chen, Ting
2 Coll, Bartomeu
2 da Silva, Maurício Fronza
2 de Moraes, Jaime R.
2 García-Saldaña, Johanna D.
2 Gasull, Armengol
2 Lopes, Bruno Domeniciano
2 Mahdi, Adam
2 Martínez, Y. Paulina
2 Tang, Yilei
2 Vidal, Claudio
2 Yang, Jihua
1 Aziz, Wajid
1 Benterki, Rebiha
1 Bolaños, Yudy
1 Boularas, Driss
1 Calin, Iurie
1 Chen, Haibo
1 Chen, Hebai
1 Cheresiz, Vladimir Mikhaĭlovich
1 Chiralt, Cristina
1 Ciubotaru, Stanislav
1 Collins, C. B.
1 Corbera, Montserrat
1 Coutinho, S. C.
1 Curtz, Paul
1 Dali, Dahira
1 de Jager, Pierre
1 De Moura Canaan, R.
1 Diaconescu, Oxana Cerba
1 Dukarić, Maša
1 Dumortier, Freddy
1 Favre, Charles
1 Frías-Armenta, Martín Eduardo
1 Giacomini, Hector J.
1 Gingold, Harry
1 Herssens, Chris
1 Huang, Xianhua
1 Jia, Man
1 Jiang, Jifa
1 Kalinin, Nikita Sergeevich
1 Kong, Xinlei
1 Kuznetsov, Nikolay Vladimirovich
1 Leonov, Gennadiĭ Alekseevich
1 Li, Feng
1 Liang, Fengli
1 Liu, Tao
1 Liu, Yirong
1 Lombardero, Antón
1 Mei, Fengxiang
1 Messias, Marcelo
1 Mihail, Popa
1 Neagu, Natalia
1 Pal, Janos
1 Pantazi, Chara
1 Pereira, Jorge Vitório
1 Pereira, Weber Flávio
1 Perko, Lawrence M.
1 Pessoa, Claudio
1 Reinol, Alisson C.
1 Reyn, John William
1 Roé, Joaquim
1 Samardzija, Nikola
1 Solomon, Daniel L.
1 Tavares Camacho, Maria Isabel
1 Tian, Yuzhou
1 Turqui, Abderrahmane
1 Victor, Orlov
1 Vindel, Pura
1 Voldman, Alexandr
1 Volokitin, Evgeniĭ Pavlovich
1 Wang, Jing
1 Wu, Huibin
1 Xiong, Yanqin
1 Yu, Jiang
1 Zhang, Tonghua
1 Zhang, Xiang
1 Zhao, Liqin
1 Zhao, Yulin
all top 5

Cited in 35 Serials

17 Journal of Differential Equations
16 Qualitative Theory of Dynamical Systems
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Rocky Mountain Journal of Mathematics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Nonlinear Analysis. Real World Applications
3 Journal of Mathematical Analysis and Applications
3 Advances in Mathematics
3 Bulletin des Sciences Mathématiques
3 Nonlinear Analysis. Theory, Methods & Applications
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Electronic Journal of Differential Equations (EJDE)
2 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Fixed Point Theory and Applications
1 Chaos, Solitons and Fractals
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Transactions of the American Mathematical Society
1 Journal of Complexity
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Dynamics and Differential Equations
1 Topological Methods in Nonlinear Analysis
1 Journal of Mathematical Sciences (New York)
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Dynamical Systems
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Sibirskie Èlektronnye Matematicheskie Izvestiya

Citations by Year