×
Author ID: sotomayor.jorge Recent zbMATH articles by "Sotomayor, Jorge"
Published as: Sotomayor, Jorge; Sotomayor, J.; Sotomayor Tello, J.
External Links: MGP · Wikidata · GND · IdRef
all top 5

Serials

7 Anais da Academia Brasileira de Ciências
6 Journal of Differential Equations
4 São Paulo Journal of Mathematical Sciences
3 Annals of Global Analysis and Geometry
3 Bulletin des Sciences Mathématiques
3 Lobachevskii Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
2 Boletim da Sociedade Brasileira de Matemática
2 Tôhoku Mathematical Journal. Second Series
2 Expositiones Mathematicae
2 Computational and Applied Mathematics
2 Discrete and Continuous Dynamical Systems
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Singularities
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of the London Mathematical Society
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Publications Mathématiques
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Revista de Matemática e Estatística
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Publicacions Matemàtiques
1 Differential Geometry and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journal of Dynamics and Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Electronic Journal of Differential Equations (EJDE)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo
1 Communications on Applied Nonlinear Analysis
1 Matemática Contemporânea
1 Differential Equations and Dynamical Systems
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Lecture Notes in Mathematics
1 Projeto Euclides
1 Monografías del Instituto de Matemática y Ciencias Afines
1 Revista Brasileira de História da Matemática
1 Antiquitates Mathematicae
1 Nonlinear Analysis. Theory, Methods & Applications
1 Publicações Matemáticas do IMPA

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 1,201 times in 825 Documents Cited by Year
Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002
Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H.
115
1991
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034
Dumortier, F.; Roussarie, R.; Sotomayor, J.
107
1987
Generic bifurcations of dynamical systems. Zbl 0296.58007
Sotomayor, Jorge
92
1973
Regularization of discontinuous vector fields. Zbl 0957.37015
Sotomayor, J.; Teixeira, M. A.
89
1998
Generic one-parameter families of vector fields on two-dimensional manifolds. Zbl 0279.58008
Sotomayor, J.
73
1973
Warp threads of ordinary differential equations. (Licoes de equacoes diferenciais ordinarias). Zbl 0509.34001
Sotomayor, Jorge
44
1979
Structurally stable configurations of lines of principal curvature. Zbl 0521.53003
Sotomayor, J.; Gutierrez, C.
43
1983
Bifurcation analysis of the Watt governor system. Zbl 1182.70038
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
34
2007
Phase portraits of planar control systems. Zbl 0858.93037
Llibre, Jaume; Sotomayor, Jorge
32
1996
Bifurcations of cuspidal loops. Zbl 0908.58043
Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge
32
1997
Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011
Sotomayor, Jorge; Machado, Ana Lúcia F.
31
2002
Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\). Zbl 0982.34028
Sotomayor, Jorge; Zhitomirskii, Michail
30
2001
Algebraic solutions for polynomial systems with emphasis in the quadratic case. Zbl 0895.34029
Chavarriga, Javier; Llibre, Jaume; Sotomayor, Jorge
23
1997
An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002
Gutierrez, C.; Sotomayor, J.
21
1983
Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012
Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge
21
2000
Global asymptotic stability of differential equations in the plane. Zbl 0732.34045
Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge
20
1991
Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500
Gutierrez, Carlos; Sotomayor, Jorge
17
1998
Lines of curvature on surfaces, historical comments and recent developments. Zbl 1176.53005
Sotomayor, Jorge; Garcia, Ronaldo
16
2008
Bifurcations of polynomial vector fields in the plane. Zbl 0632.34056
Sotomayor, J.; Paterlini, R.
15
1987
Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304
Sotomayor, Jorge; Gutierrez, Carlos
15
1998
Differential equations of classical geometry, a qualitative theory. Paper from the 27th Brazilian Mathematics Colloquium – 27\(°\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 27–31, 2009. Zbl 1180.53002
Garcia, Ronaldo; Sotomayor, Jorge
14
2009
Vector fields near the boundary of a 3-manifold. Zbl 0679.58031
Sotomayor, J.; Teixeira, M. A.
14
1988
Inversion of smooth mappings. Zbl 0706.58005
Sotomayor, J.
14
1990
Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004
Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo
14
2004
Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 0992.53010
Garcia, Ronaldo; Sotomayor, Jorge
13
2000
Structural stability of parabolic points and periodic asymptotic lines. Zbl 0930.53003
Garcia, R.; Sotomayor, J.
13
1997
Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0642.34022
Gasull, A.; Llibre, J.; Sotomayor, J.
12
1987
Structurally stable differential systems of the form \(A(x)x'=F(x)\). Zbl 1125.34326
Sotomayor, Jorge
11
1997
Harmonic mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1079.53007
Garcia, Ronaldo; Sotomayor, Jorge
11
2003
Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007
Gutierrez, Carlos; Sotomayor, Jorge
10
1986
Quadratic vector fields with finitely many periodic orbits. Zbl 0557.34038
Sotomayor, J.; Paterlini, R.
8
1983
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in \(\mathbb{R}^3\). Zbl 1005.53003
Garcia, Ronaldo; Sotomayor, Jorge
8
2001
Impasse bifurcations of constrained systems. Zbl 1145.37321
Llibre, Jaume; Sotomayor, Jorge; Zhitomirskii, Michail
8
2002
Structural stability of constrained polynomial systems. Zbl 0930.34036
Llibre, Jaume; Sotomayor, Jorge
8
1998
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
7
1986
Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0625.34024
Gasull, A.; Llibre, J.; Sotomayor, J.
7
1987
Stability and Hopf bifurcation in an hexagonal governor system. Zbl 1140.70009
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
7
2008
Smooth dependence of solutions of differential equations on initial data: a simple proof. Zbl 0337.34005
Sotomayor, J.
6
1973
Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1052.53008
Garcia, Ronaldo; Sotomayor, Jorge
6
2002
Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007
Gutiérrez, C.; Sotomayor, J.
6
1986
Stability and Hopf bifurcation in the Watt governor system. Zbl 1119.70015
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
6
2006
Structural stability in manifolds with boundary. Zbl 0303.58011
Sotomayor Tello, J.
6
1974
Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026
Sotomayor, J.; Gutiérrez, C.
6
1985
Lines of principal curvature on canal surfaces in \(\mathbb R^3\). Zbl 1106.53024
Garcia, Ronaldo; Llibre, Jaume; Sotomayor, Jorge
5
2006
Principal mean curvature foliations on surfaces immersed in \(\mathbb R^4\). Zbl 1116.57024
Carcía, R.; Mello, L. F.; Sotomayor, J.
5
2005
Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057
Gutierrez, C.; Sotomayor, J.
5
1990
Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\). Zbl 1328.53008
Lopes, D.; Sotomayor, J.; Garcia, R.
5
2015
Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\). Zbl 1310.53007
Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo
5
2014
Stable vector fields on manifolds with simple singularities. Zbl 0504.58027
Gutierrez, Carlos; Sotomayor, Jorge
4
1982
Lines of curvature near principal cycles. Zbl 0768.53002
Sotomayor, Jorge; Garcia, Ronaldo A.
4
1992
Curvatures of conflict surfaces in Euclidean 3-space. Zbl 0983.53003
Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo
4
1999
Lines of curvature of algebraic surfaces. Zbl 0871.53007
Sotomayor, J.; Garcia, R.
4
1996
Closed principal lines and bifurcation. Zbl 0608.53003
Gutierrez, C.; Sotomayor, J.
4
1986
Stable planar polynomial vector fields. Zbl 0644.58009
Sotomayor, J.
4
1985
Structural stability of piecewise-linear vector fields. Zbl 1033.34057
Sotomayor, Jorge; Garcia, Ronaldo
4
2003
Hopf bifurcations in a Watt governor with a spring. Zbl 1362.70027
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
4
2008
Lines of curvature on quadric hypersurfaces of \(\mathbb{R}^4\). Zbl 1350.53014
Sotomayor, J.; Garcia, R.
4
2016
A note on some developments on Carathéodory conjecture on umbilic points. Zbl 0931.53022
Sotomayor, Jorge; Mello, Luis Fernando
4
1999
Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Zbl 1426.53008
Sotomayor, Jorge; Garcia, Ronaldo A.
4
2016
Codimension two umbilic points on surfaces immersed in \(\mathbb R^3\). Zbl 1123.53007
Sotomayor, Jorge; Garcia, Ronaldo
3
2007
Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010
Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato
3
1987
La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan. Zbl 0476.34036
Sotomayor, Jorge
3
1981
Structural stability and bifurcation theory. Zbl 0293.34081
Sotomayor, Jorge
3
1973
On the Patterns of principal curvature lines around a curve of umbilic points. Zbl 1081.53005
Garcia, Ronaldo; Sotomayor, Jorge
3
2005
On pairs of foliations defined by vector fields in the plane. Zbl 1009.37016
Sotomayor, Jorge; Zhitomirskii, Michail
2
2000
Lines of curvature near hyperbolic principal cycles. Zbl 0786.53037
Sotomayor, J.; Garcia, R.
2
1993
Lines of curvature near singular points of implicit surfaces. Zbl 0791.53007
Garcia, R.; Sotomayor, J.
2
1993
Lines of principal curvature near singular end points of surfaces in \(\mathbb R^3\). Zbl 1143.53008
Sotomayor, Jorge; Garcia, Ronaldo
2
2006
Introduction: a few ords about Mauricio M. Peixoto on his 80th birthday. Zbl 1205.01044
Sotomayor, J.
2
2001
Stability and regularity in bifurcations of planar vector fields. Zbl 0692.58020
Sotomayor, J.
2
1989
On the basin of attraction of dissipative planar vector fields. Zbl 0713.34053
Gasull, A.; Sotomayor, J.
2
1990
Closed lines of curvature for Weingarten immersions. Zbl 0638.53003
Sotomayor, J.
2
1987
On Maurício M. Peixoto and the arrival of structural stability to Rio de Janeiro, 1955. Zbl 1445.37002
Sotomayor, Jorge
2
2020
Axiumbilic singular points on surfaces immersed in \(\mathbb R^4\) and their generic bifurcations. Zbl 1325.53016
Garcia, R.; Sotomayor, J.; Spindola, F.
2
2014
Tori embedded in \(\mathbb R^3\) with dense principal lines. Zbl 1166.53003
Garcia, R.; Sotomayor, J.
2
2009
An encounter of classical differential geometry with dynamical systems in the realm of structural stability of principal curvature configurations. Zbl 1504.53009
Sotomayor, Jorge
2
2022
Structurally stable second order differential equations. Zbl 0521.34056
Sotomayor, J.
1
1982
Stability properties of the inverse mapping domain. Zbl 0845.58016
Sotomayor, J.
1
1995
Lines of curvature and an integral form of Mainardi-Codazzi equations. Zbl 0866.53002
Sotomayor, J.
1
1996
Stable piecewise polynomial vector fields. Zbl 1402.37028
Pessoa, Claudio; Sotomayor, Jorge
1
2012
A list of ODE problems. Zbl 1028.34001
Sotomayor, Jorge
1
2000
Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\). Zbl 1086.53002
Garcia, Ronaldo; Sotomayor, Jorge
1
2003
Bifurcation analysis of a model for biological control. Zbl 1145.37344
Sotomayor, Jorge; Mello, Luis Fernando; Santos, Danilo Braun; de Carvalho Braga, Denis
1
2008
On a list of ordinary differential equations problems. Zbl 1417.01036
Sotomayor, Jorge
1
2019
An encounter of classical differential geometry with dynamical systems in the realm of structural stability of principal curvature configurations. Zbl 1504.53009
Sotomayor, Jorge
2
2022
On Maurício M. Peixoto and the arrival of structural stability to Rio de Janeiro, 1955. Zbl 1445.37002
Sotomayor, Jorge
2
2020
On a list of ordinary differential equations problems. Zbl 1417.01036
Sotomayor, Jorge
1
2019
Lines of curvature on quadric hypersurfaces of \(\mathbb{R}^4\). Zbl 1350.53014
Sotomayor, J.; Garcia, R.
4
2016
Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Zbl 1426.53008
Sotomayor, Jorge; Garcia, Ronaldo A.
4
2016
Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\). Zbl 1328.53008
Lopes, D.; Sotomayor, J.; Garcia, R.
5
2015
Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\). Zbl 1310.53007
Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo
5
2014
Axiumbilic singular points on surfaces immersed in \(\mathbb R^4\) and their generic bifurcations. Zbl 1325.53016
Garcia, R.; Sotomayor, J.; Spindola, F.
2
2014
Stable piecewise polynomial vector fields. Zbl 1402.37028
Pessoa, Claudio; Sotomayor, Jorge
1
2012
Differential equations of classical geometry, a qualitative theory. Paper from the 27th Brazilian Mathematics Colloquium – 27\(°\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 27–31, 2009. Zbl 1180.53002
Garcia, Ronaldo; Sotomayor, Jorge
14
2009
Tori embedded in \(\mathbb R^3\) with dense principal lines. Zbl 1166.53003
Garcia, R.; Sotomayor, J.
2
2009
Lines of curvature on surfaces, historical comments and recent developments. Zbl 1176.53005
Sotomayor, Jorge; Garcia, Ronaldo
16
2008
Stability and Hopf bifurcation in an hexagonal governor system. Zbl 1140.70009
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
7
2008
Hopf bifurcations in a Watt governor with a spring. Zbl 1362.70027
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
4
2008
Bifurcation analysis of a model for biological control. Zbl 1145.37344
Sotomayor, Jorge; Mello, Luis Fernando; Santos, Danilo Braun; de Carvalho Braga, Denis
1
2008
Bifurcation analysis of the Watt governor system. Zbl 1182.70038
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
34
2007
Codimension two umbilic points on surfaces immersed in \(\mathbb R^3\). Zbl 1123.53007
Sotomayor, Jorge; Garcia, Ronaldo
3
2007
Stability and Hopf bifurcation in the Watt governor system. Zbl 1119.70015
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
6
2006
Lines of principal curvature on canal surfaces in \(\mathbb R^3\). Zbl 1106.53024
Garcia, Ronaldo; Llibre, Jaume; Sotomayor, Jorge
5
2006
Lines of principal curvature near singular end points of surfaces in \(\mathbb R^3\). Zbl 1143.53008
Sotomayor, Jorge; Garcia, Ronaldo
2
2006
Principal mean curvature foliations on surfaces immersed in \(\mathbb R^4\). Zbl 1116.57024
Carcía, R.; Mello, L. F.; Sotomayor, J.
5
2005
On the Patterns of principal curvature lines around a curve of umbilic points. Zbl 1081.53005
Garcia, Ronaldo; Sotomayor, Jorge
3
2005
Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004
Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo
14
2004
Harmonic mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1079.53007
Garcia, Ronaldo; Sotomayor, Jorge
11
2003
Structural stability of piecewise-linear vector fields. Zbl 1033.34057
Sotomayor, Jorge; Garcia, Ronaldo
4
2003
Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\). Zbl 1086.53002
Garcia, Ronaldo; Sotomayor, Jorge
1
2003
Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011
Sotomayor, Jorge; Machado, Ana Lúcia F.
31
2002
Impasse bifurcations of constrained systems. Zbl 1145.37321
Llibre, Jaume; Sotomayor, Jorge; Zhitomirskii, Michail
8
2002
Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1052.53008
Garcia, Ronaldo; Sotomayor, Jorge
6
2002
Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\). Zbl 0982.34028
Sotomayor, Jorge; Zhitomirskii, Michail
30
2001
Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in \(\mathbb{R}^3\). Zbl 1005.53003
Garcia, Ronaldo; Sotomayor, Jorge
8
2001
Introduction: a few ords about Mauricio M. Peixoto on his 80th birthday. Zbl 1205.01044
Sotomayor, J.
2
2001
Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012
Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge
21
2000
Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 0992.53010
Garcia, Ronaldo; Sotomayor, Jorge
13
2000
On pairs of foliations defined by vector fields in the plane. Zbl 1009.37016
Sotomayor, Jorge; Zhitomirskii, Michail
2
2000
A list of ODE problems. Zbl 1028.34001
Sotomayor, Jorge
1
2000
Curvatures of conflict surfaces in Euclidean 3-space. Zbl 0983.53003
Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo
4
1999
A note on some developments on Carathéodory conjecture on umbilic points. Zbl 0931.53022
Sotomayor, Jorge; Mello, Luis Fernando
4
1999
Regularization of discontinuous vector fields. Zbl 0957.37015
Sotomayor, J.; Teixeira, M. A.
89
1998
Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500
Gutierrez, Carlos; Sotomayor, Jorge
17
1998
Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304
Sotomayor, Jorge; Gutierrez, Carlos
15
1998
Structural stability of constrained polynomial systems. Zbl 0930.34036
Llibre, Jaume; Sotomayor, Jorge
8
1998
Bifurcations of cuspidal loops. Zbl 0908.58043
Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge
32
1997
Algebraic solutions for polynomial systems with emphasis in the quadratic case. Zbl 0895.34029
Chavarriga, Javier; Llibre, Jaume; Sotomayor, Jorge
23
1997
Structural stability of parabolic points and periodic asymptotic lines. Zbl 0930.53003
Garcia, R.; Sotomayor, J.
13
1997
Structurally stable differential systems of the form \(A(x)x'=F(x)\). Zbl 1125.34326
Sotomayor, Jorge
11
1997
Phase portraits of planar control systems. Zbl 0858.93037
Llibre, Jaume; Sotomayor, Jorge
32
1996
Lines of curvature of algebraic surfaces. Zbl 0871.53007
Sotomayor, J.; Garcia, R.
4
1996
Lines of curvature and an integral form of Mainardi-Codazzi equations. Zbl 0866.53002
Sotomayor, J.
1
1996
Stability properties of the inverse mapping domain. Zbl 0845.58016
Sotomayor, J.
1
1995
Lines of curvature near hyperbolic principal cycles. Zbl 0786.53037
Sotomayor, J.; Garcia, R.
2
1993
Lines of curvature near singular points of implicit surfaces. Zbl 0791.53007
Garcia, R.; Sotomayor, J.
2
1993
Lines of curvature near principal cycles. Zbl 0768.53002
Sotomayor, Jorge; Garcia, Ronaldo A.
4
1992
Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002
Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H.
115
1991
Global asymptotic stability of differential equations in the plane. Zbl 0732.34045
Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge
20
1991
Inversion of smooth mappings. Zbl 0706.58005
Sotomayor, J.
14
1990
Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057
Gutierrez, C.; Sotomayor, J.
5
1990
On the basin of attraction of dissipative planar vector fields. Zbl 0713.34053
Gasull, A.; Sotomayor, J.
2
1990
Stability and regularity in bifurcations of planar vector fields. Zbl 0692.58020
Sotomayor, J.
2
1989
Vector fields near the boundary of a 3-manifold. Zbl 0679.58031
Sotomayor, J.; Teixeira, M. A.
14
1988
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3. Zbl 0608.58034
Dumortier, F.; Roussarie, R.; Sotomayor, J.
107
1987
Bifurcations of polynomial vector fields in the plane. Zbl 0632.34056
Sotomayor, J.; Paterlini, R.
15
1987
Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0642.34022
Gasull, A.; Llibre, J.; Sotomayor, J.
12
1987
Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0625.34024
Gasull, A.; Llibre, J.; Sotomayor, J.
7
1987
Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010
Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato
3
1987
Closed lines of curvature for Weingarten immersions. Zbl 0638.53003
Sotomayor, J.
2
1987
Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007
Gutierrez, Carlos; Sotomayor, Jorge
10
1986
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
7
1986
Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007
Gutiérrez, C.; Sotomayor, J.
6
1986
Closed principal lines and bifurcation. Zbl 0608.53003
Gutierrez, C.; Sotomayor, J.
4
1986
Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026
Sotomayor, J.; Gutiérrez, C.
6
1985
Stable planar polynomial vector fields. Zbl 0644.58009
Sotomayor, J.
4
1985
Structurally stable configurations of lines of principal curvature. Zbl 0521.53003
Sotomayor, J.; Gutierrez, C.
43
1983
An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002
Gutierrez, C.; Sotomayor, J.
21
1983
Quadratic vector fields with finitely many periodic orbits. Zbl 0557.34038
Sotomayor, J.; Paterlini, R.
8
1983
Stable vector fields on manifolds with simple singularities. Zbl 0504.58027
Gutierrez, Carlos; Sotomayor, Jorge
4
1982
Structurally stable second order differential equations. Zbl 0521.34056
Sotomayor, J.
1
1982
La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan. Zbl 0476.34036
Sotomayor, Jorge
3
1981
Warp threads of ordinary differential equations. (Licoes de equacoes diferenciais ordinarias). Zbl 0509.34001
Sotomayor, Jorge
44
1979
Structural stability in manifolds with boundary. Zbl 0303.58011
Sotomayor Tello, J.
6
1974
Generic bifurcations of dynamical systems. Zbl 0296.58007
Sotomayor, Jorge
92
1973
Generic one-parameter families of vector fields on two-dimensional manifolds. Zbl 0279.58008
Sotomayor, J.
73
1973
Smooth dependence of solutions of differential equations on initial data: a simple proof. Zbl 0337.34005
Sotomayor, J.
6
1973
Structural stability and bifurcation theory. Zbl 0293.34081
Sotomayor, Jorge
3
1973
all top 5

Cited by 956 Authors

61 Llibre, Jaume
38 Teixeira, Marco Antonio
30 Sotomayor, Jorge
28 Garcia, Ronaldo A.
18 Mello, Luis Fernando O.
17 Da Silva, Paulo Ricardo
17 Huang, Jicai
16 Gutierrez, Carlos
14 Buzzi, Claudio Aguinaldo
14 Dumortier, Freddy
13 de Carvalho Braga, Denis
13 Gasull, Armengol
12 Riaza, Ricardo
12 Uldall Kristiansen, K.
12 Zhu, Huaiping
11 Wei, Zhouchao
10 Chen, Hebai
10 Jeffrey, Mike R.
10 Ponce, Enrique
10 Tari, Farid
9 Valls Anglés, Cláudia
8 Dieci, Luca
8 Novaes, Douglas Duarte
8 Rousseau, Christiane
7 Freire Macías, Emilio
7 Giacomini, Hector J.
7 Guckenheimer, John M.
7 Han, Maoan
7 Kaper, Tasso J.
7 Roussarie, Robert
7 Ruan, Shigui
7 Tang, Yilei
7 Yu, Pei
7 Zhang, Jiangang
6 de Carvalho, Tiago
6 García, Christian Cortés
6 Giné, Jaume
6 Guíñez, Víctor
6 Lu, Min
6 Medveď, Milan
6 Messias, Marcelo
6 Qiao, Yuanhua
6 Rabanal, Roland
6 Wang, Hao
6 Xiao, Dongmei
6 Zangeneh, Hamid R. Z.
6 Zhang, Wei
6 Zhang, Xiang
5 Artés, Joan Carles
5 Broer, Henk W.
5 Chu, Yandong
5 Elia, Cinzia
5 Huzak, Renato
5 Iagar, Razvan Gabriel
5 Il’yashenko, Yuliĭ Sergeevich
5 Li, Chengzhi
5 Li, Weigu
5 Medrado, João C. R.
5 Pi, Dingheng
5 Saji, Kentaro
5 Sánchez, Ariel
5 M-Seara, Tere
5 Shan, Chunhua
5 Tonon, Durval José
5 Villadelprat, Jordi
5 Wang, Shaoli
5 Zhang, Weinian
4 An, Xinlei
4 Asheghi, Rasoul
4 de Rezende, Ketty Abaroa
4 Dias, Fabio Scalco
4 Ferrer, Josep
4 Ghosh, Uttam
4 Gorni, Gianluca
4 Guglielmi, Nicola
4 Guin, Lakshmi Narayan
4 Hogan, S. John
4 Jia, Man
4 Li, Xianyi
4 Makarenkov, Oleg Yuryĭovych
4 Moroz, Irene M.
4 Pena, Marta Conde
4 Perez, Otavio Henrique
4 Rodríguez-Luis, Alejandro J.
4 Sánchez-Bringas, Federico
4 Sarwardi, Sahabuddin
4 Shang, Zuchong
4 Susin, Antoni
4 Torregrosa, Joan
4 Umehara, Masaaki
4 Wang, Jihua
4 Wang, Zhen
4 Yamada, Kotaro
4 Zampieri, Gaetano
4 Zhang, Zhifen
3 Algaba, Antonio
3 Antali, Mate
3 Arbeláez, Hugo
3 Bonet-Revés, Carles
3 Brøns, Morten
...and 856 more Authors
all top 5

Cited in 210 Serials

94 Journal of Differential Equations
69 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
28 Qualitative Theory of Dynamical Systems
22 SIAM Journal on Applied Dynamical Systems
21 Journal of Mathematical Analysis and Applications
19 Physica D
18 Journal of Dynamics and Differential Equations
17 Bulletin des Sciences Mathématiques
16 Journal of Dynamical and Control Systems
14 Nonlinear Analysis. Real World Applications
14 Discrete and Continuous Dynamical Systems. Series B
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Nonlinear Dynamics
11 Communications in Nonlinear Science and Numerical Simulation
10 Mathematics and Computers in Simulation
10 Tôhoku Mathematical Journal. Second Series
10 Journal of Nonlinear Science
10 Dynamical Systems
9 Transactions of the American Mathematical Society
9 Nonlinear Analysis. Theory, Methods & Applications
8 Proceedings of the American Mathematical Society
7 Rocky Mountain Journal of Mathematics
7 Chaos, Solitons and Fractals
7 Boletim da Sociedade Brasileira de Matemática
6 Journal of Mathematical Biology
6 Nonlinearity
6 Anais da Academia Brasileira de Ciências
6 Differential Geometry and its Applications
6 Acta Mathematica Sinica. English Series
6 Journal of Biological Systems
5 Computers & Mathematics with Applications
5 Applied Mathematics and Computation
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Annals of Global Analysis and Geometry
5 Applied Mathematics Letters
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Boletim da Sociedade Brasileira de Matemática. Nova Série
5 Lobachevskii Journal of Mathematics
5 International Journal of Biomathematics
5 Journal of Singularities
4 Mathematical Methods in the Applied Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Annales de l’Institut Fourier
4 Ergodic Theory and Dynamical Systems
4 Discrete and Continuous Dynamical Systems
4 Mathematical Problems in Engineering
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Discrete and Continuous Dynamical Systems. Series S
4 São Paulo Journal of Mathematical Sciences
3 Journal of Fluid Mechanics
3 Mathematical Biosciences
3 Journal of Geometry and Physics
3 Automatica
3 Czechoslovak Mathematical Journal
3 Inventiones Mathematicae
3 Journal of Optimization Theory and Applications
3 Meccanica
3 SIAM Journal on Control and Optimization
3 Topology and its Applications
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 SIAM Journal on Applied Mathematics
3 Electronic Journal of Differential Equations (EJDE)
3 Computational and Applied Mathematics
3 Differential Equations and Dynamical Systems
3 Chaos
3 Communications on Pure and Applied Analysis
3 Mathematical Biosciences and Engineering
3 The Journal of Mathematical Neuroscience
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Physica A
2 Physics Letters. A
2 Physics Reports
2 Bulletin of Mathematical Biology
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
2 Journal of Geometry
2 Mathematica Slovaca
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Transactions of the Moscow Mathematical Society
2 Systems & Control Letters
2 Circuits, Systems, and Signal Processing
2 Acta Applicandae Mathematicae
2 Computer Aided Geometric Design
2 Applied Numerical Mathematics
2 SIAM Review
2 Expositiones Mathematicae
2 Acta Mathematica Sinica. New Series
2 New Zealand Journal of Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Topological Methods in Nonlinear Analysis
2 Journal of Mathematical Sciences (New York)
2 NoDEA. Nonlinear Differential Equations and Applications
2 Abstract and Applied Analysis
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Revista de Matemática: Teoría y Aplicaciones
...and 110 more Serials
all top 5

Cited in 48 Fields

539 Ordinary differential equations (34-XX)
315 Dynamical systems and ergodic theory (37-XX)
153 Biology and other natural sciences (92-XX)
91 Differential geometry (53-XX)
62 Global analysis, analysis on manifolds (58-XX)
48 Partial differential equations (35-XX)
28 Manifolds and cell complexes (57-XX)
28 Numerical analysis (65-XX)
28 Mechanics of particles and systems (70-XX)
27 Systems theory; control (93-XX)
14 Operator theory (47-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Fluid mechanics (76-XX)
9 Information and communication theory, circuits (94-XX)
8 Several complex variables and analytic spaces (32-XX)
6 Algebraic geometry (14-XX)
6 Real functions (26-XX)
6 Mechanics of deformable solids (74-XX)
6 Geophysics (86-XX)
5 Functional analysis (46-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Probability theory and stochastic processes (60-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 History and biography (01-XX)
3 Functions of a complex variable (30-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 Computer science (68-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Quantum theory (81-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.