## Sotomayor, Jorge

Compute Distance To:
 Author ID: sotomayor.jorge Published as: Sotomayor, Jorge; Sotomayor, J.; Sotomayor Tello, J. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 100 Publications since 1964, including 6 Books 1 Further Contribution Co-Authors: 21 Co-Authors with 62 Joint Publications 575 Co-Co-Authors
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### Co-Authors

 27 single-authored 33 Garcia, Ronaldo A. 8 Llibre, Jaume 8 Mello, Luis Fernando O. 5 de Carvalho Braga, Denis 4 Gasull, Armengol 3 Dumortier, Freddy 3 Lopes, Débora 3 Roussarie, Robert 3 Zhitomirskii, Michail 2 Paterlini, R. 2 Pessoa, Claudio 2 Spindola, F. 2 Teixeira, Marco Antonio 1 Berenstein, Carlos Alberto 1 Carcía, R. 1 Chavarriga, Javier 1 Chicone, Carmen C. 1 Guadalupe, Irwen Válle 1 Machado, Ana Lúcia F. 1 Mendoza, Gerardo A. 1 Planchart, Enrique 1 Santos, Danilo Braun 1 Siersma, Dirk 1 Żołądek, Henryk
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### 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 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 Journal of Singularities 1 Antiquitates Mathematicae 1 Nonlinear Analysis. Theory, Methods & Applications 1 Publicações Matemáticas do IMPA
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### Fields

 49 Dynamical systems and ergodic theory (37-XX) 47 Ordinary differential equations (34-XX) 47 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 10 Manifolds and cell complexes (57-XX) 5 History and biography (01-XX) 4 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

77 Publications have been cited 961 times in 659 Documents Cited by Year
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.
1987
Regularization of discontinuous vector fields. Zbl 0957.37015
Sotomayor, J.; Teixeira, M. A.
1998
Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002
Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H.
1991
Generic one-parameter families of vector fields on two-dimensional manifolds. Zbl 0279.58008
Sotomayor, J.
1973
Generic bifurcations of dynamical systems. Zbl 0296.58007
Sotomayor, Jorge
1973
Structurally stable configurations of lines of principal curvature. Zbl 0521.53003
Sotomayor, J.; Gutierrez, C.
1983
Bifurcations of cuspidal loops. Zbl 0908.58043
Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge
1997
Bifurcation analysis of the Watt governor system. Zbl 1182.70038
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2007
Phase portraits of planar control systems. Zbl 0858.93037
Llibre, Jaume; Sotomayor, Jorge
1996
Impasse singularities of differential systems of the form $$A(x) x^{\prime} =F(x)$$. Zbl 0982.34028
Sotomayor, Jorge; Zhitomirskii, Michail
2001
Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011
Sotomayor, Jorge; Machado, Ana Lúcia F.
2002
Warp threads of ordinary differential equations. (Licoes de equacoes diferenciais ordinarias). Zbl 0509.34001
Sotomayor, Jorge
1979
Algebraic solutions for polynomial systems with emphasis in the quadratic case. Zbl 0895.34029
Chavarriga, Javier; Llibre, Jaume; Sotomayor, Jorge
1997
Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012
Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge
2000
Global asymptotic stability of differential equations in the plane. Zbl 0732.34045
Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge
1991
An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002
Gutierrez, C.; Sotomayor, J.
1983
Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500
Gutierrez, Carlos; Sotomayor, Jorge
1998
Lines of curvature on surfaces, historical comments and recent developments. Zbl 1176.53005
Sotomayor, Jorge; Garcia, Ronaldo
2008
Inversion of smooth mappings. Zbl 0706.58005
Sotomayor, J.
1990
Bifurcations of polynomial vector fields in the plane. Zbl 0632.34056
Sotomayor, J.; Paterlini, R.
1987
Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304
Sotomayor, Jorge; Gutierrez, Carlos
1998
Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004
Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo
2004
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
2009
Lines of axial curvature on surfaces immersed in $$\mathbb{R}^4$$. Zbl 0992.53010
Garcia, Ronaldo; Sotomayor, Jorge
2000
Vector fields near the boundary of a 3-manifold. Zbl 0679.58031
Sotomayor, J.; Teixeira, M. A.
1988
Harmonic mean curvature lines on surfaces immersed in $$\mathbb{R}^3$$. Zbl 1079.53007
Garcia, Ronaldo; Sotomayor, Jorge
2003
Structural stability of parabolic points and periodic asymptotic lines. Zbl 0930.53003
Garcia, R.; Sotomayor, J.
1997
Limit cycles of vector fields of the form $$X(v)=Av+f(v)Bv$$. Zbl 0642.34022
Gasull, A.; Llibre, J.; Sotomayor, J.
1987
Structurally stable differential systems of the form $$A(x)x'=F(x)$$. Zbl 1125.34326
Sotomayor, Jorge
1997
Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007
Gutierrez, Carlos; Sotomayor, Jorge
1986
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
2001
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.
1987
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
1986
Impasse bifurcations of constrained systems. Zbl 1145.37321
Llibre, Jaume; Sotomayor, Jorge; Zhitomirskii, Michail
2002
Quadratic vector fields with finitely many periodic orbits. Zbl 0557.34038
Sotomayor, J.; Paterlini, R.
1983
Stability and Hopf bifurcation in an hexagonal governor system. Zbl 1140.70009
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2008
Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007
Gutiérrez, C.; Sotomayor, J.
1986
Stability and Hopf bifurcation in the Watt governor system. Zbl 1119.70015
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2006
Structural stability of constrained polynomial systems. Zbl 0930.34036
Llibre, Jaume; Sotomayor, Jorge
1998
Geometric mean curvature lines on surfaces immersed in $$\mathbb{R}^3$$. Zbl 1052.53008
Garcia, Ronaldo; Sotomayor, Jorge
2002
Smooth dependence of solutions of differential equations on initial data: a simple proof. Zbl 0337.34005
Sotomayor, J.
1973
Principal mean curvature foliations on surfaces immersed in $$\mathbb R^4$$. Zbl 1116.57024
Carcía, R.; Mello, L. F.; Sotomayor, J.
2005
Umbilic singularities and lines of curvature on ellipsoids of $$\mathbb{R}^{4}$$. Zbl 1310.53007
Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo
2014
Closed principal lines and bifurcation. Zbl 0608.53003
Gutierrez, C.; Sotomayor, J.
1986
Lines of principal curvature on canal surfaces in $$\mathbb R^3$$. Zbl 1106.53024
Garcia, Ronaldo; Llibre, Jaume; Sotomayor, Jorge
2006
Structural stability of piecewise-linear vector fields. Zbl 1033.34057
Sotomayor, Jorge; Garcia, Ronaldo
2003
Structural stability in manifolds with boundary. Zbl 0303.58011
Sotomayor Tello, J.
1974
Lines of curvature near principal cycles. Zbl 0768.53002
Sotomayor, Jorge; Garcia, Ronaldo A.
1992
Lines of curvature of algebraic surfaces. Zbl 0871.53007
Sotomayor, J.; Garcia, R.
1996
Hopf bifurcations in a Watt governor with a spring. Zbl 1362.70027
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2008
Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057
Gutierrez, C.; Sotomayor, J.
1990
Stable planar polynomial vector fields. Zbl 0644.58009
Sotomayor, J.
1985
Partially umbilic singularities of hypersurfaces of $$\mathbb{R}^4$$. Zbl 1328.53008
Lopes, D.; Sotomayor, J.; Garcia, R.
2015
La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan. Zbl 0476.34036
Sotomayor, Jorge
1981
Curvatures of conflict surfaces in Euclidean 3-space. Zbl 0983.53003
Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo
1999
Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Zbl 1426.53008
Sotomayor, Jorge; Garcia, Ronaldo A.
2016
Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010
Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato
1987
Tori embedded in $$\mathbb R^3$$ with dense principal lines. Zbl 1166.53003
Garcia, R.; Sotomayor, J.
2009
Stability and regularity in bifurcations of planar vector fields. Zbl 0692.58020
Sotomayor, J.
1989
On the basin of attraction of dissipative planar vector fields. Zbl 0713.34053
Gasull, A.; Sotomayor, J.
1990
Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026
Sotomayor, J.; Gutiérrez, C.
1985
Codimension two umbilic points on surfaces immersed in $$\mathbb R^3$$. Zbl 1123.53007
Sotomayor, Jorge; Garcia, Ronaldo
2007
Lines of principal curvature near singular end points of surfaces in $$\mathbb R^3$$. Zbl 1143.53008
Sotomayor, Jorge; Garcia, Ronaldo
2006
On pairs of foliations defined by vector fields in the plane. Zbl 1009.37016
Sotomayor, Jorge; Zhitomirskii, Michail
2000
Lines of curvature near hyperbolic principal cycles. Zbl 0786.53037
Sotomayor, J.; Garcia, R.
1993
Lines of curvature near singular points of implicit surfaces. Zbl 0791.53007
Garcia, R.; Sotomayor, J.
1993
Closed lines of curvature for Weingarten immersions. Zbl 0638.53003
Sotomayor, J.
1987
Lines of curvature on quadric hypersurfaces of $$\mathbb{R}^4$$. Zbl 1350.53014
Sotomayor, J.; Garcia, R.
2016
Axiumbilic singular points on surfaces immersed in $$\mathbb R^4$$ and their generic bifurcations. Zbl 1325.53016
Garcia, R.; Sotomayor, J.; Spindola, F.
2014
On the Patterns of principal curvature lines around a curve of umbilic points. Zbl 1081.53005
Garcia, Ronaldo; Sotomayor, Jorge
2005
Lines of mean curvature on surfaces immersed in $$\mathbb{R}^3$$. Zbl 1086.53002
Garcia, Ronaldo; Sotomayor, Jorge
2003
Introduction: a few ords about Mauricio M. Peixoto on his 80th birthday. Zbl 1205.01044
Sotomayor, J.
2001
Structural stability and bifurcation theory. Zbl 0293.34081
Sotomayor, Jorge
1973
Lines of curvature and an integral form of Mainardi-Codazzi equations. Zbl 0866.53002
Sotomayor, J.
1996
Stability properties of the inverse mapping domain. Zbl 0845.58016
Sotomayor, J.
1995
A note on some developments on Carathéodory conjecture on umbilic points. Zbl 0931.53022
Sotomayor, Jorge; Mello, Luis Fernando
1999
Stable piecewise polynomial vector fields. Zbl 1402.37028
Pessoa, Claudio; Sotomayor, Jorge
2012
Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Zbl 1426.53008
Sotomayor, Jorge; Garcia, Ronaldo A.
2016
Lines of curvature on quadric hypersurfaces of $$\mathbb{R}^4$$. Zbl 1350.53014
Sotomayor, J.; Garcia, R.
2016
Partially umbilic singularities of hypersurfaces of $$\mathbb{R}^4$$. Zbl 1328.53008
Lopes, D.; Sotomayor, J.; Garcia, R.
2015
Umbilic singularities and lines of curvature on ellipsoids of $$\mathbb{R}^{4}$$. Zbl 1310.53007
Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo
2014
Axiumbilic singular points on surfaces immersed in $$\mathbb R^4$$ and their generic bifurcations. Zbl 1325.53016
Garcia, R.; Sotomayor, J.; Spindola, F.
2014
Stable piecewise polynomial vector fields. Zbl 1402.37028
Pessoa, Claudio; Sotomayor, Jorge
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
2009
Tori embedded in $$\mathbb R^3$$ with dense principal lines. Zbl 1166.53003
Garcia, R.; Sotomayor, J.
2009
Lines of curvature on surfaces, historical comments and recent developments. Zbl 1176.53005
Sotomayor, Jorge; Garcia, Ronaldo
2008
Stability and Hopf bifurcation in an hexagonal governor system. Zbl 1140.70009
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2008
Hopf bifurcations in a Watt governor with a spring. Zbl 1362.70027
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2008
Bifurcation analysis of the Watt governor system. Zbl 1182.70038
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2007
Codimension two umbilic points on surfaces immersed in $$\mathbb R^3$$. Zbl 1123.53007
Sotomayor, Jorge; Garcia, Ronaldo
2007
Stability and Hopf bifurcation in the Watt governor system. Zbl 1119.70015
Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis
2006
Lines of principal curvature on canal surfaces in $$\mathbb R^3$$. Zbl 1106.53024
Garcia, Ronaldo; Llibre, Jaume; Sotomayor, Jorge
2006
Lines of principal curvature near singular end points of surfaces in $$\mathbb R^3$$. Zbl 1143.53008
Sotomayor, Jorge; Garcia, Ronaldo
2006
Principal mean curvature foliations on surfaces immersed in $$\mathbb R^4$$. Zbl 1116.57024
Carcía, R.; Mello, L. F.; Sotomayor, J.
2005
On the Patterns of principal curvature lines around a curve of umbilic points. Zbl 1081.53005
Garcia, Ronaldo; Sotomayor, Jorge
2005
Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004
Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo
2004
Harmonic mean curvature lines on surfaces immersed in $$\mathbb{R}^3$$. Zbl 1079.53007
Garcia, Ronaldo; Sotomayor, Jorge
2003
Structural stability of piecewise-linear vector fields. Zbl 1033.34057
Sotomayor, Jorge; Garcia, Ronaldo
2003
Lines of mean curvature on surfaces immersed in $$\mathbb{R}^3$$. Zbl 1086.53002
Garcia, Ronaldo; Sotomayor, Jorge
2003
Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011
Sotomayor, Jorge; Machado, Ana Lúcia F.
2002
Impasse bifurcations of constrained systems. Zbl 1145.37321
Llibre, Jaume; Sotomayor, Jorge; Zhitomirskii, Michail
2002
Geometric mean curvature lines on surfaces immersed in $$\mathbb{R}^3$$. Zbl 1052.53008
Garcia, Ronaldo; Sotomayor, Jorge
2002
Impasse singularities of differential systems of the form $$A(x) x^{\prime} =F(x)$$. Zbl 0982.34028
Sotomayor, Jorge; Zhitomirskii, Michail
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
2001
Introduction: a few ords about Mauricio M. Peixoto on his 80th birthday. Zbl 1205.01044
Sotomayor, J.
2001
Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012
Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge
2000
Lines of axial curvature on surfaces immersed in $$\mathbb{R}^4$$. Zbl 0992.53010
Garcia, Ronaldo; Sotomayor, Jorge
2000
On pairs of foliations defined by vector fields in the plane. Zbl 1009.37016
Sotomayor, Jorge; Zhitomirskii, Michail
2000
Curvatures of conflict surfaces in Euclidean 3-space. Zbl 0983.53003
Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo
1999
A note on some developments on Carathéodory conjecture on umbilic points. Zbl 0931.53022
Sotomayor, Jorge; Mello, Luis Fernando
1999
Regularization of discontinuous vector fields. Zbl 0957.37015
Sotomayor, J.; Teixeira, M. A.
1998
Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500
Gutierrez, Carlos; Sotomayor, Jorge
1998
Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304
Sotomayor, Jorge; Gutierrez, Carlos
1998
Structural stability of constrained polynomial systems. Zbl 0930.34036
Llibre, Jaume; Sotomayor, Jorge
1998
Bifurcations of cuspidal loops. Zbl 0908.58043
Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge
1997
Algebraic solutions for polynomial systems with emphasis in the quadratic case. Zbl 0895.34029
Chavarriga, Javier; Llibre, Jaume; Sotomayor, Jorge
1997
Structural stability of parabolic points and periodic asymptotic lines. Zbl 0930.53003
Garcia, R.; Sotomayor, J.
1997
Structurally stable differential systems of the form $$A(x)x'=F(x)$$. Zbl 1125.34326
Sotomayor, Jorge
1997
Phase portraits of planar control systems. Zbl 0858.93037
Llibre, Jaume; Sotomayor, Jorge
1996
Lines of curvature of algebraic surfaces. Zbl 0871.53007
Sotomayor, J.; Garcia, R.
1996
Lines of curvature and an integral form of Mainardi-Codazzi equations. Zbl 0866.53002
Sotomayor, J.
1996
Stability properties of the inverse mapping domain. Zbl 0845.58016
Sotomayor, J.
1995
Lines of curvature near hyperbolic principal cycles. Zbl 0786.53037
Sotomayor, J.; Garcia, R.
1993
Lines of curvature near singular points of implicit surfaces. Zbl 0791.53007
Garcia, R.; Sotomayor, J.
1993
Lines of curvature near principal cycles. Zbl 0768.53002
Sotomayor, Jorge; Garcia, Ronaldo A.
1992
Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002
Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H.
1991
Global asymptotic stability of differential equations in the plane. Zbl 0732.34045
Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge
1991
Inversion of smooth mappings. Zbl 0706.58005
Sotomayor, J.
1990
Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057
Gutierrez, C.; Sotomayor, J.
1990
On the basin of attraction of dissipative planar vector fields. Zbl 0713.34053
Gasull, A.; Sotomayor, J.
1990
Stability and regularity in bifurcations of planar vector fields. Zbl 0692.58020
Sotomayor, J.
1989
Vector fields near the boundary of a 3-manifold. Zbl 0679.58031
Sotomayor, J.; Teixeira, M. A.
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.
1987
Bifurcations of polynomial vector fields in the plane. Zbl 0632.34056
Sotomayor, J.; Paterlini, R.
1987
Limit cycles of vector fields of the form $$X(v)=Av+f(v)Bv$$. Zbl 0642.34022
Gasull, A.; Llibre, J.; Sotomayor, J.
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.
1987
Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010
Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato
1987
Closed lines of curvature for Weingarten immersions. Zbl 0638.53003
Sotomayor, J.
1987
Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007
Gutierrez, Carlos; Sotomayor, Jorge
1986
On a class of complete polynomial vector fields in the plane. Zbl 0589.58020
Chicone, C.; Sotomayor, J.
1986
Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007
Gutiérrez, C.; Sotomayor, J.
1986
Closed principal lines and bifurcation. Zbl 0608.53003
Gutierrez, C.; Sotomayor, J.
1986
Stable planar polynomial vector fields. Zbl 0644.58009
Sotomayor, J.
1985
Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026
Sotomayor, J.; Gutiérrez, C.
1985
Structurally stable configurations of lines of principal curvature. Zbl 0521.53003
Sotomayor, J.; Gutierrez, C.
1983
An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002
Gutierrez, C.; Sotomayor, J.
1983
Quadratic vector fields with finitely many periodic orbits. Zbl 0557.34038
Sotomayor, J.; Paterlini, R.
1983
La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan. Zbl 0476.34036
Sotomayor, Jorge
1981
Warp threads of ordinary differential equations. (Licoes de equacoes diferenciais ordinarias). Zbl 0509.34001
Sotomayor, Jorge
1979
Structural stability in manifolds with boundary. Zbl 0303.58011
Sotomayor Tello, J.
1974
Generic one-parameter families of vector fields on two-dimensional manifolds. Zbl 0279.58008
Sotomayor, J.
1973
Generic bifurcations of dynamical systems. Zbl 0296.58007
Sotomayor, Jorge
1973
Smooth dependence of solutions of differential equations on initial data: a simple proof. Zbl 0337.34005
Sotomayor, J.
1973
Structural stability and bifurcation theory. Zbl 0293.34081
Sotomayor, Jorge
1973
all top 5

### Cited by 786 Authors

 53 Llibre, Jaume 35 Teixeira, Marco Antonio 30 Sotomayor, Jorge 27 Garcia, Ronaldo A. 15 Da Silva, Paulo Ricardo 14 Mello, Luis Fernando O. 11 Dumortier, Freddy 11 Gasull, Armengol 11 Riaza, Ricardo 11 Wei, Zhouchao 10 Buzzi, Claudio Aguinaldo 10 de Carvalho Braga, Denis 10 Huang, Jicai 10 Tari, Farid 10 Uldall Kristiansen, K. 10 Zhu, Huaiping 9 Jeffrey, Mike R. 9 Ponce, Enrique 8 Novaes, Douglas Duarte 7 Dieci, Luca 7 Guckenheimer, John M. 6 Chen, Hebai 6 de Carvalho, Tiago 6 Freire Macías, Emilio 6 Giacomini, Hector J. 6 Giné, Jaume 6 Guíñez, Víctor 6 Han, Maoan 6 Messias, Marcelo 6 Roussarie, Robert 6 Rousseau, Christiane 6 Tang, Yilei 6 Xiao, Dongmei 6 Zhang, Jiangang 6 Zhang, Wei 6 Zhang, Xiang 5 Broer, Henk W. 5 Huzak, Renato 5 Ilyashenko, Yulij Sergeevich 5 Kaper, Tasso J. 5 Li, Chengzhi 5 Li, Weigu 5 Medveď, Milan 5 Pi, Dingheng 5 Rabanal, Roland 5 Ruan, Shigui 5 M-Seara, Tere 5 Valls Anglés, Cláudia 5 Zangeneh, Hamid R. Z. 5 Zhang, Weinian 4 Asheghi, Rasoul 4 Chu, Yandong 4 Elia, Cinzia 4 Ferrer, Josep 4 Gorni, Gianluca 4 Guglielmi, Nicola 4 Guin, Lakshmi Narayan 4 Hogan, S. John 4 Li, Xianyi 4 Makarenkov, Oleg Yuryĭovych 4 Moroz, Irene M. 4 Pena, Marta Conde 4 Rodríguez-Luis, Alejandro J. 4 Saji, Kentaro 4 Sarwardi, Sahabuddin 4 Susin, Antoni 4 Tonon, Durval José 4 Torregrosa, Joan 4 Villadelprat, Jordi 4 Wang, Zhen 4 Zampieri, Gaetano 4 Zhang, Zhifen 3 Algaba, Antonio 3 An, Xinlei 3 Antali, Mate 3 Bonet-Revés, Carles 3 Brøns, Morten 3 Chavarriga, Javier 3 De Maesschalck, Peter 3 Ghosh, Uttam 3 Gouveia, Márcio R. Alves 3 Hale, Jack Kenneth 3 Hasegawa, Masaru 3 Jiang, Jiao 3 Kazemi, Rasool 3 Liu, Yirong 3 Lopes, Débora 3 Lu, Min 3 Mañosa, Víctor 3 Mañosas, Francesc 3 Martins, Luciana F. 3 Medrado, João C. R. 3 Nuño-Ballesteros, Juan José 3 Qiao, Yuanhua 3 Rocşoreanu, Carmen 3 Sánchez-Bringas, Federico 3 Sen, Moitri 3 Shan, Chunhua 3 Shang, Zuchong 3 Simó, Carles ...and 686 more Authors
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### Cited in 178 Serials

 80 Journal of Differential Equations 57 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Journal of Mathematical Analysis and Applications 18 Qualitative Theory of Dynamical Systems 16 Physica D 15 Bulletin des Sciences Mathématiques 14 Journal of Dynamics and Differential Equations 14 Journal of Dynamical and Control Systems 14 SIAM Journal on Applied Dynamical Systems 11 Nonlinear Dynamics 11 Discrete and Continuous Dynamical Systems. Series B 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Nonlinear Analysis. Real World Applications 9 Tôhoku Mathematical Journal. Second Series 9 Dynamical Systems 8 Mathematics and Computers in Simulation 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 7 Rocky Mountain Journal of Mathematics 7 Chaos, Solitons and Fractals 7 Boletim da Sociedade Brasileira de Matemática 7 Journal of Nonlinear Science 7 Communications in Nonlinear Science and Numerical Simulation 7 Nonlinear Analysis. Theory, Methods & Applications 6 Anais da Academia Brasileira de Ciências 5 Computers & Mathematics with Applications 5 Nonlinearity 5 Applied Mathematics and Computation 5 Annals of Global Analysis and Geometry 5 Applied Mathematics Letters 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 Acta Mathematica Sinica. English Series 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Ergodic Theory and Dynamical Systems 4 Differential Geometry and its Applications 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Mathematical Problems in Engineering 4 Journal of Biological Systems 4 Lobachevskii Journal of Mathematics 4 Journal of Singularities 3 Journal of Fluid Mechanics 3 Journal of Mathematical Biology 3 Annales de l’Institut Fourier 3 Czechoslovak Mathematical Journal 3 Inventiones Mathematicae 3 Journal of Optimization Theory and Applications 3 Meccanica 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 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 Discrete and Continuous Dynamical Systems 3 Differential Equations and Dynamical Systems 3 Chaos 3 Communications on Pure and Applied Analysis 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Biomathematics 3 São Paulo Journal of Mathematical Sciences 3 The Journal of Mathematical Neuroscience 2 Journal of Statistical Physics 2 Physics Reports 2 Bulletin of Mathematical Biology 2 Journal of Geometry and Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Automatica 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Geometry 2 Mathematica Slovaca 2 Transactions of the Moscow Mathematical Society 2 Systems & Control Letters 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Expositiones Mathematicae 2 Acta Mathematica Sinica. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Abstract and Applied Analysis 2 Differential Equations 2 Journal of Applied Mathematics and Computing 2 Mathematical Biosciences and Engineering 2 Advances in Mathematical Physics 2 Journal of Applied Analysis and Computation 2 Journal of Applied Nonlinear Dynamics 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physica A 1 Wave Motion ...and 78 more Serials
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### Cited in 46 Fields

 431 Ordinary differential equations (34-XX) 267 Dynamical systems and ergodic theory (37-XX) 93 Biology and other natural sciences (92-XX) 79 Differential geometry (53-XX) 51 Global analysis, analysis on manifolds (58-XX) 33 Partial differential equations (35-XX) 23 Manifolds and cell complexes (57-XX) 23 Systems theory; control (93-XX) 22 Numerical analysis (65-XX) 20 Mechanics of particles and systems (70-XX) 12 Operator theory (47-XX) 9 Information and communication theory, circuits (94-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Fluid mechanics (76-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Real functions (26-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 3 History and biography (01-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-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)

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