Edit Profile (opens in new tab) Sotomayor, Jorge Compute Distance To: Compute 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 all top 5 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 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0608.58034Dumortier, F.; Roussarie, R.; Sotomayor, J. 92 1987 Regularization of discontinuous vector fields. Zbl 0957.37015Sotomayor, J.; Teixeira, M. A. 78 1998 Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H. 70 1991 Generic one-parameter families of vector fields on two-dimensional manifolds. Zbl 0279.58008Sotomayor, J. 68 1973 Generic bifurcations of dynamical systems. Zbl 0296.58007Sotomayor, Jorge 47 1973 Structurally stable configurations of lines of principal curvature. Zbl 0521.53003Sotomayor, J.; Gutierrez, C. 37 1983 Bifurcations of cuspidal loops. Zbl 0908.58043Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge 32 1997 Bifurcation analysis of the Watt governor system. Zbl 1182.70038Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 30 2007 Phase portraits of planar control systems. Zbl 0858.93037Llibre, Jaume; Sotomayor, Jorge 27 1996 Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\). Zbl 0982.34028Sotomayor, Jorge; Zhitomirskii, Michail 25 2001 Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011Sotomayor, Jorge; Machado, Ana Lúcia F. 25 2002 Warp threads of ordinary differential equations. (Licoes de equacoes diferenciais ordinarias). Zbl 0509.34001Sotomayor, Jorge 22 1979 Algebraic solutions for polynomial systems with emphasis in the quadratic case. Zbl 0895.34029Chavarriga, Javier; Llibre, Jaume; Sotomayor, Jorge 21 1997 Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge 20 2000 Global asymptotic stability of differential equations in the plane. Zbl 0732.34045Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge 19 1991 An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002Gutierrez, C.; Sotomayor, J. 18 1983 Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500Gutierrez, Carlos; Sotomayor, Jorge 16 1998 Lines of curvature on surfaces, historical comments and recent developments. Zbl 1176.53005Sotomayor, Jorge; Garcia, Ronaldo 15 2008 Inversion of smooth mappings. Zbl 0706.58005Sotomayor, J. 14 1990 Bifurcations of polynomial vector fields in the plane. Zbl 0632.34056Sotomayor, J.; Paterlini, R. 13 1987 Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304Sotomayor, Jorge; Gutierrez, Carlos 13 1998 Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo 12 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 1180.53002Garcia, Ronaldo; Sotomayor, Jorge 12 2009 Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 0992.53010Garcia, Ronaldo; Sotomayor, Jorge 12 2000 Vector fields near the boundary of a 3-manifold. Zbl 0679.58031Sotomayor, J.; Teixeira, M. A. 11 1988 Harmonic mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1079.53007Garcia, Ronaldo; Sotomayor, Jorge 11 2003 Structural stability of parabolic points and periodic asymptotic lines. Zbl 0930.53003Garcia, R.; Sotomayor, J. 11 1997 Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0642.34022Gasull, A.; Llibre, J.; Sotomayor, J. 10 1987 Structurally stable differential systems of the form \(A(x)x'=F(x)\). Zbl 1125.34326Sotomayor, Jorge 10 1997 Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007Gutierrez, Carlos; Sotomayor, Jorge 9 1986 Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in \(\mathbb{R}^3\). Zbl 1005.53003Garcia, Ronaldo; Sotomayor, Jorge 8 2001 Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0625.34024Gasull, A.; Llibre, J.; Sotomayor, J. 7 1987 On a class of complete polynomial vector fields in the plane. Zbl 0589.58020Chicone, C.; Sotomayor, J. 7 1986 Impasse bifurcations of constrained systems. Zbl 1145.37321Llibre, Jaume; Sotomayor, Jorge; Zhitomirskii, Michail 7 2002 Quadratic vector fields with finitely many periodic orbits. Zbl 0557.34038Sotomayor, J.; Paterlini, R. 7 1983 Stability and Hopf bifurcation in an hexagonal governor system. Zbl 1140.70009Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 6 2008 Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007Gutiérrez, C.; Sotomayor, J. 6 1986 Stability and Hopf bifurcation in the Watt governor system. Zbl 1119.70015Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 6 2006 Structural stability of constrained polynomial systems. Zbl 0930.34036Llibre, Jaume; Sotomayor, Jorge 6 1998 Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1052.53008Garcia, Ronaldo; Sotomayor, Jorge 6 2002 Smooth dependence of solutions of differential equations on initial data: a simple proof. Zbl 0337.34005Sotomayor, J. 6 1973 Principal mean curvature foliations on surfaces immersed in \(\mathbb R^4\). Zbl 1116.57024Carcía, R.; Mello, L. F.; Sotomayor, J. 5 2005 Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\). Zbl 1310.53007Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo 4 2014 Closed principal lines and bifurcation. Zbl 0608.53003Gutierrez, C.; Sotomayor, J. 4 1986 Lines of principal curvature on canal surfaces in \(\mathbb R^3\). Zbl 1106.53024Garcia, Ronaldo; Llibre, Jaume; Sotomayor, Jorge 4 2006 Structural stability of piecewise-linear vector fields. Zbl 1033.34057Sotomayor, Jorge; Garcia, Ronaldo 4 2003 Structural stability in manifolds with boundary. Zbl 0303.58011Sotomayor Tello, J. 4 1974 Lines of curvature near principal cycles. Zbl 0768.53002Sotomayor, Jorge; Garcia, Ronaldo A. 4 1992 Lines of curvature of algebraic surfaces. Zbl 0871.53007Sotomayor, J.; Garcia, R. 4 1996 Hopf bifurcations in a Watt governor with a spring. Zbl 1362.70027Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 4 2008 Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057Gutierrez, C.; Sotomayor, J. 3 1990 Stable planar polynomial vector fields. Zbl 0644.58009Sotomayor, J. 3 1985 Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\). Zbl 1328.53008Lopes, D.; Sotomayor, J.; Garcia, R. 3 2015 La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan. Zbl 0476.34036Sotomayor, Jorge 3 1981 Curvatures of conflict surfaces in Euclidean 3-space. Zbl 0983.53003Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo 3 1999 Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Zbl 1426.53008Sotomayor, Jorge; Garcia, Ronaldo A. 3 2016 Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato 2 1987 Tori embedded in \(\mathbb R^3\) with dense principal lines. Zbl 1166.53003Garcia, R.; Sotomayor, J. 2 2009 Stability and regularity in bifurcations of planar vector fields. Zbl 0692.58020Sotomayor, J. 2 1989 On the basin of attraction of dissipative planar vector fields. Zbl 0713.34053Gasull, A.; Sotomayor, J. 2 1990 Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026Sotomayor, J.; Gutiérrez, C. 2 1985 Codimension two umbilic points on surfaces immersed in \(\mathbb R^3\). Zbl 1123.53007Sotomayor, Jorge; Garcia, Ronaldo 2 2007 Lines of principal curvature near singular end points of surfaces in \(\mathbb R^3\). Zbl 1143.53008Sotomayor, Jorge; Garcia, Ronaldo 2 2006 On pairs of foliations defined by vector fields in the plane. Zbl 1009.37016Sotomayor, Jorge; Zhitomirskii, Michail 2 2000 Lines of curvature near hyperbolic principal cycles. Zbl 0786.53037Sotomayor, J.; Garcia, R. 2 1993 Lines of curvature near singular points of implicit surfaces. Zbl 0791.53007Garcia, R.; Sotomayor, J. 2 1993 Closed lines of curvature for Weingarten immersions. Zbl 0638.53003Sotomayor, J. 2 1987 Lines of curvature on quadric hypersurfaces of \(\mathbb{R}^4\). Zbl 1350.53014Sotomayor, J.; Garcia, R. 2 2016 Axiumbilic singular points on surfaces immersed in \(\mathbb R^4\) and their generic bifurcations. Zbl 1325.53016Garcia, R.; Sotomayor, J.; Spindola, F. 2 2014 On the Patterns of principal curvature lines around a curve of umbilic points. Zbl 1081.53005Garcia, Ronaldo; Sotomayor, Jorge 1 2005 Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\). Zbl 1086.53002Garcia, Ronaldo; Sotomayor, Jorge 1 2003 Introduction: a few ords about Mauricio M. Peixoto on his 80th birthday. Zbl 1205.01044Sotomayor, J. 1 2001 Structural stability and bifurcation theory. Zbl 0293.34081Sotomayor, Jorge 1 1973 Lines of curvature and an integral form of Mainardi-Codazzi equations. Zbl 0866.53002Sotomayor, J. 1 1996 Stability properties of the inverse mapping domain. Zbl 0845.58016Sotomayor, J. 1 1995 A note on some developments on Carathéodory conjecture on umbilic points. Zbl 0931.53022Sotomayor, Jorge; Mello, Luis Fernando 1 1999 Stable piecewise polynomial vector fields. Zbl 1402.37028Pessoa, Claudio; Sotomayor, Jorge 1 2012 Historical comments on Monge’s ellipsoid and the configurations of lines of curvature on surfaces. Zbl 1426.53008Sotomayor, Jorge; Garcia, Ronaldo A. 3 2016 Lines of curvature on quadric hypersurfaces of \(\mathbb{R}^4\). Zbl 1350.53014Sotomayor, J.; Garcia, R. 2 2016 Partially umbilic singularities of hypersurfaces of \(\mathbb{R}^4\). Zbl 1328.53008Lopes, D.; Sotomayor, J.; Garcia, R. 3 2015 Umbilic singularities and lines of curvature on ellipsoids of \(\mathbb{R}^{4}\). Zbl 1310.53007Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo 4 2014 Axiumbilic singular points on surfaces immersed in \(\mathbb R^4\) and their generic bifurcations. Zbl 1325.53016Garcia, R.; Sotomayor, J.; Spindola, F. 2 2014 Stable piecewise polynomial vector fields. Zbl 1402.37028Pessoa, 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 1180.53002Garcia, Ronaldo; Sotomayor, Jorge 12 2009 Tori embedded in \(\mathbb R^3\) with dense principal lines. Zbl 1166.53003Garcia, R.; Sotomayor, J. 2 2009 Lines of curvature on surfaces, historical comments and recent developments. Zbl 1176.53005Sotomayor, Jorge; Garcia, Ronaldo 15 2008 Stability and Hopf bifurcation in an hexagonal governor system. Zbl 1140.70009Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 6 2008 Hopf bifurcations in a Watt governor with a spring. Zbl 1362.70027Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 4 2008 Bifurcation analysis of the Watt governor system. Zbl 1182.70038Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 30 2007 Codimension two umbilic points on surfaces immersed in \(\mathbb R^3\). Zbl 1123.53007Sotomayor, Jorge; Garcia, Ronaldo 2 2007 Stability and Hopf bifurcation in the Watt governor system. Zbl 1119.70015Sotomayor, Jorge; Mello, Luis Fernando; de Carvalho Braga, Denis 6 2006 Lines of principal curvature on canal surfaces in \(\mathbb R^3\). Zbl 1106.53024Garcia, Ronaldo; Llibre, Jaume; Sotomayor, Jorge 4 2006 Lines of principal curvature near singular end points of surfaces in \(\mathbb R^3\). Zbl 1143.53008Sotomayor, Jorge; Garcia, Ronaldo 2 2006 Principal mean curvature foliations on surfaces immersed in \(\mathbb R^4\). Zbl 1116.57024Carcía, R.; Mello, L. F.; Sotomayor, J. 5 2005 On the Patterns of principal curvature lines around a curve of umbilic points. Zbl 1081.53005Garcia, Ronaldo; Sotomayor, Jorge 1 2005 Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo 12 2004 Harmonic mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1079.53007Garcia, Ronaldo; Sotomayor, Jorge 11 2003 Structural stability of piecewise-linear vector fields. Zbl 1033.34057Sotomayor, Jorge; Garcia, Ronaldo 4 2003 Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\). Zbl 1086.53002Garcia, Ronaldo; Sotomayor, Jorge 1 2003 Structurally stable discontinuous vector fields in the plane. Zbl 1047.37011Sotomayor, Jorge; Machado, Ana Lúcia F. 25 2002 Impasse bifurcations of constrained systems. Zbl 1145.37321Llibre, Jaume; Sotomayor, Jorge; Zhitomirskii, Michail 7 2002 Geometric mean curvature lines on surfaces immersed in \(\mathbb{R}^3\). Zbl 1052.53008Garcia, Ronaldo; Sotomayor, Jorge 6 2002 Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\). Zbl 0982.34028Sotomayor, Jorge; Zhitomirskii, Michail 25 2001 Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in \(\mathbb{R}^3\). Zbl 1005.53003Garcia, Ronaldo; Sotomayor, Jorge 8 2001 Introduction: a few ords about Mauricio M. Peixoto on his 80th birthday. Zbl 1205.01044Sotomayor, J. 1 2001 Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge 20 2000 Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 0992.53010Garcia, Ronaldo; Sotomayor, Jorge 12 2000 On pairs of foliations defined by vector fields in the plane. Zbl 1009.37016Sotomayor, Jorge; Zhitomirskii, Michail 2 2000 Curvatures of conflict surfaces in Euclidean 3-space. Zbl 0983.53003Sotomayor, Jorge; Siersma, Dirk; Garcia, Ronaldo 3 1999 A note on some developments on Carathéodory conjecture on umbilic points. Zbl 0931.53022Sotomayor, Jorge; Mello, Luis Fernando 1 1999 Regularization of discontinuous vector fields. Zbl 0957.37015Sotomayor, J.; Teixeira, M. A. 78 1998 Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500Gutierrez, Carlos; Sotomayor, Jorge 16 1998 Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304Sotomayor, Jorge; Gutierrez, Carlos 13 1998 Structural stability of constrained polynomial systems. Zbl 0930.34036Llibre, Jaume; Sotomayor, Jorge 6 1998 Bifurcations of cuspidal loops. Zbl 0908.58043Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge 32 1997 Algebraic solutions for polynomial systems with emphasis in the quadratic case. Zbl 0895.34029Chavarriga, Javier; Llibre, Jaume; Sotomayor, Jorge 21 1997 Structural stability of parabolic points and periodic asymptotic lines. Zbl 0930.53003Garcia, R.; Sotomayor, J. 11 1997 Structurally stable differential systems of the form \(A(x)x'=F(x)\). Zbl 1125.34326Sotomayor, Jorge 10 1997 Phase portraits of planar control systems. Zbl 0858.93037Llibre, Jaume; Sotomayor, Jorge 27 1996 Lines of curvature of algebraic surfaces. Zbl 0871.53007Sotomayor, J.; Garcia, R. 4 1996 Lines of curvature and an integral form of Mainardi-Codazzi equations. Zbl 0866.53002Sotomayor, J. 1 1996 Stability properties of the inverse mapping domain. Zbl 0845.58016Sotomayor, J. 1 1995 Lines of curvature near hyperbolic principal cycles. Zbl 0786.53037Sotomayor, J.; Garcia, R. 2 1993 Lines of curvature near singular points of implicit surfaces. Zbl 0791.53007Garcia, R.; Sotomayor, J. 2 1993 Lines of curvature near principal cycles. Zbl 0768.53002Sotomayor, Jorge; Garcia, Ronaldo A. 4 1992 Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals. Zbl 0755.58002Dumortier, F.; Roussarie, R.; Sotomayor, J.; Żoładek, H. 70 1991 Global asymptotic stability of differential equations in the plane. Zbl 0732.34045Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge 19 1991 Inversion of smooth mappings. Zbl 0706.58005Sotomayor, J. 14 1990 Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057Gutierrez, C.; Sotomayor, J. 3 1990 On the basin of attraction of dissipative planar vector fields. Zbl 0713.34053Gasull, A.; Sotomayor, J. 2 1990 Stability and regularity in bifurcations of planar vector fields. Zbl 0692.58020Sotomayor, J. 2 1989 Vector fields near the boundary of a 3-manifold. Zbl 0679.58031Sotomayor, J.; Teixeira, M. A. 11 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 0608.58034Dumortier, F.; Roussarie, R.; Sotomayor, J. 92 1987 Bifurcations of polynomial vector fields in the plane. Zbl 0632.34056Sotomayor, J.; Paterlini, R. 13 1987 Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0642.34022Gasull, A.; Llibre, J.; Sotomayor, J. 10 1987 Further considerations on the number of limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0625.34024Gasull, A.; Llibre, J.; Sotomayor, J. 7 1987 Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato 2 1987 Closed lines of curvature for Weingarten immersions. Zbl 0638.53003Sotomayor, J. 2 1987 Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007Gutierrez, Carlos; Sotomayor, Jorge 9 1986 On a class of complete polynomial vector fields in the plane. Zbl 0589.58020Chicone, C.; Sotomayor, J. 7 1986 Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007Gutiérrez, C.; Sotomayor, J. 6 1986 Closed principal lines and bifurcation. Zbl 0608.53003Gutierrez, C.; Sotomayor, J. 4 1986 Stable planar polynomial vector fields. Zbl 0644.58009Sotomayor, J. 3 1985 Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026Sotomayor, J.; Gutiérrez, C. 2 1985 Structurally stable configurations of lines of principal curvature. Zbl 0521.53003Sotomayor, J.; Gutierrez, C. 37 1983 An approximation theorem for immersions with stable configurations of lines of principal curvature. Zbl 0528.53002Gutierrez, C.; Sotomayor, J. 18 1983 Quadratic vector fields with finitely many periodic orbits. Zbl 0557.34038Sotomayor, J.; Paterlini, R. 7 1983 La mesure de l’ensemble de bifurcation des champs de vecteurs dans le plan. Zbl 0476.34036Sotomayor, Jorge 3 1981 Warp threads of ordinary differential equations. (Licoes de equacoes diferenciais ordinarias). Zbl 0509.34001Sotomayor, Jorge 22 1979 Structural stability in manifolds with boundary. Zbl 0303.58011Sotomayor Tello, J. 4 1974 Generic one-parameter families of vector fields on two-dimensional manifolds. Zbl 0279.58008Sotomayor, J. 68 1973 Generic bifurcations of dynamical systems. Zbl 0296.58007Sotomayor, Jorge 47 1973 Smooth dependence of solutions of differential equations on initial data: a simple proof. Zbl 0337.34005Sotomayor, J. 6 1973 Structural stability and bifurcation theory. Zbl 0293.34081Sotomayor, Jorge 1 1973 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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