Edit Profile (opens in new tab) Gutierrez, Carlos Compute Distance To: Compute Author ID: gutierrez.carlos Published as: Gutierrez, Carlos; Gutierrez, C. Documents Indexed: 81 Publications since 1975, including 1 Book Co-Authors: 3 Co-Authors with 4 Joint Publications 20 Co-Co-Authors all top 5 Co-Authors 17 single-authored 14 Sotomayor, Jorge 9 Guíñez, Víctor 6 Pires, Benito 4 Llibre, Jaume 4 Nguyen Van Chau 4 Rabanal, Roland 4 Sánchez-Bringas, Federico 3 Alarcón, Begoña 3 Garcia, Ronaldo A. 3 Guadalupe, Irwen Válle 3 Lloyd, Simon 3 Teixeira, Marco Antonio 2 Biasi, Carlos 2 Cobo, Milton 2 Martínez-Alfaro, José 2 Medvedev, Vladislav Sergeevich 2 Tribuzy, Renato 2 Zhuzhoma, Evgeniĭ Viktorovich 1 Alsmeyer, Gerold 1 An, D. T. V. 1 Camelier, Ricardo 1 Campbell, L. Andrew 1 Castañeda, Alvaro 1 de Melo, Welington 1 de Oliveira, César R. 1 Demuner, Daniela Paula 1 dos Santos, Edivaldo Lopes 1 Federson, Márcia 1 Frederico, Tobias 1 Gigante, V. 1 Hector, Gilbert 1 Jarque, Xavier 1 López, Américo 1 Maquera, Carlos 1 Mercuri, Francesco 1 Oliveira, Regilene D. S. 1 Peretz, Ronen 1 Soares Ruas, Maria Aparecida 1 Salmè, Giovanni 1 Sarmiento, Alberto 1 Tomio, Lauro 1 Venato-Santos, Jean all top 5 Serials 7 Discrete and Continuous Dynamical Systems 5 Journal of Differential Equations 5 Ergodic Theory and Dynamical Systems 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Boletim da Sociedade Brasileira de Matemática 2 Tôhoku Mathematical Journal. Second Series 2 Journal of Dynamical and Control Systems 2 Qualitative Theory of Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Theoretical Biology 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physics Letters. B 1 Anais da Academia Brasileira de Ciências 1 Annales Polonici Mathematici 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology 1 Topology and its Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Extracta Mathematicae 1 Publicacions Matemàtiques 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Journal of Difference Equations and Applications 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Matemática Contemporânea 1 Doklady Mathematics 1 Vietnam Journal of Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Monografías del Instituto de Matemática y Ciencias Afines 1 International Journal of Mathematical Analysis (Ruse) 1 São Paulo Journal of Mathematical Sciences 1 Set-Valued and Variational Analysis all top 5 Fields 55 Dynamical systems and ergodic theory (37-XX) 20 Differential geometry (53-XX) 19 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 4 Real functions (26-XX) 3 Operator theory (47-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 19 times in 14 Documents Cited by ▼ Year ▼ A solution to the bidimensional global asymptotic stability conjecture. Zbl 0837.34057Gutierrez, Carlos 49 1995 Structurally stable configurations of lines of principal curvature. Zbl 0521.53003Sotomayor, J.; Gutierrez, C. 37 1983 Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\). Zbl 1126.37306Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 30 2004 Smoothing continuous flows on two-manifolds and recurrences. Zbl 0606.58042Gutierrez, Carlos 28 1986 Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge 21 2000 Structural stability for flows on the torus with a cross-cap. Zbl 0396.58017Gutierrez, Carlos 19 1978 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 17 1998 On the injectivity of \(C^1\) maps of the real plane. Zbl 1013.37015Cobo, Milton; Gutierrez, Carlos; Llibre, Jaume 16 2002 Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304Sotomayor, Jorge; Gutierrez, Carlos 14 1998 Affine interval exchange transformations with wandering intervals. Zbl 0895.58019Camelier, Ricardo; Gutierrez, Carlos 13 1997 Smooth nonorientable nontrivial recurrence on two-manifolds. Zbl 0413.58018Gutierrez, Carlos 13 1978 A counter-example to a \(C^ 2\) closing lemma. Zbl 0642.58036Gutierrez, C. 12 1987 Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo 12 2004 On local diffeomorphisms of \(\mathbb{R}^n\) that are injective. Zbl 1067.37019Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 12 2003 Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007Gutierrez, Carlos; Sotomayor, Jorge 10 1986 Injectivity of differentiable maps \(\mathbb R^2 \rightarrow \mathbb R^2\) at infinity. Zbl 1144.26301Gutierrez, Carlos; Rabanal, Roland 10 2006 Lines of curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 0893.53004Gutierrez, Carlos; Guadalupe, Irwen; Tribuzy, Renato; Guíñez, Víctor 9 1997 Asymptotic stability at infinity of planar vector fields. Zbl 0848.58034Gutierrez, Carlos; Teixeira, Marco-Antonio 9 1995 Injectivity of \(C^1\) maps \(\mathbb R^2\to\mathbb R^2\) at infinity and planar vector fields. Zbl 1213.37028Gutierrez, Carlos; Sarmiento, Alberto 8 2003 Global injectivity of \(C^1\) maps of the real plane, inseparable leaves and the Palais-Smale condition. Zbl 1131.37026Gutierrez, C.; Jarque, X.; Llibre, J.; Teixeira, M. A. 8 2007 Asymptotic stability at infinity for differentiable vector fields of the plane. Zbl 1115.34049Gutierrez, Carlos; Pires, Benito; Rabanal, Roland 8 2006 Flows without wandering points on compact connected surfaces. Zbl 1203.37025Cobo, Milton; Gutierrez, Carlos; Llibre, Jaume 8 2010 The implicit function theorem for continuous functions. Zbl 1173.58004Biasi, Carlos; Gutierrez, Carlos; dos Santos, Edivaldo L. 7 2008 On the \(C^ r\)-closing lemma for flows on the torus \(T^ 2\). Zbl 0609.58022Gutierrez, C. 6 1986 Positive quadratic differential forms: Linearization, finite determinacy and versal unfolding. Zbl 0882.58007Gutierrez, Carlos; Guíñez, Victor 6 1996 Principal lines on surfaces immersed with constant mean curvature. Zbl 0598.53007Gutiérrez, C.; Sotomayor, J. 6 1986 Planar embeddings with a globally attracting fixed point. Zbl 1178.37028Alarcón, Begoña; Guíñez, Víctor; Gutierrez, Carlos 6 2008 Smoothing continuous flows and the converse of Denjoy-Schwartz theorem. Zbl 0478.58020Gutierrez, Carlos 5 1979 On Peixoto’s conjecture for flows on non-orientable 2-manifolds. Zbl 1058.37017Gutierrez, Carlos; Pires, Benito 5 2005 A remark on an eigenvalue condition for the global injectivity of differentiable maps of \(\mathbb R^2\). Zbl 1118.37024Gutierrez, Carlos; Nguyen Van Chau 5 2007 On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\). Zbl 0942.53009Gutierrez, C.; Sánchez-Bringas, F. 5 1998 Foliations and polynomial diffeomorphisms of \(\mathbb R^3\). Zbl 1171.37014Gutierrez, Carlos; Maquera, Carlos 5 2009 Darbouxian integrability for polynomial vector fields on the 2-dimensional sphere. Zbl 1042.34059Gutierrez, Carlos; Llibre, Jaume 4 2002 Closed principal lines and bifurcation. Zbl 0608.53003Gutierrez, C.; Sotomayor, J. 4 1986 Hopf bifurcation at infinity for planar vector fields. Zbl 1120.37023Alarcón, Begoña; Guíñez, Víctor; Gutierrez, Carlos 4 2007 Smoothability of Cherry flows on two-manifolds. Zbl 0545.58039Gutierrez, Carlos 4 1983 Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057Gutierrez, C.; Sotomayor, J. 4 1990 The connected components of Morse-Smale vector fields on two-manifolds. Zbl 0356.58007Gutierrez, C.; de Melo, W. 4 1977 On \(C^r\)-closing for flows on 2-manifolds. Zbl 0968.37010Gutierrez, Carlos 4 2000 On nonsingular polynomial maps of \(\mathbb R^2\). Zbl 1102.14043Nguyen Van Chau; Gutierrez, Carlos 4 2006 Knots and minimal flows on 3-manifolds. Zbl 0842.57032Gutierrez, Carlos 4 1995 Transitive circle exchange transformations with flips. Zbl 1178.37039Gutierrez, Carlos; Lloyd, Simon; Medvedev, Vladislav; Pires, Benito; Zhuzhoma, Evgeny 4 2010 Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice. Zbl 1405.92157Alsmeyer, G.; Gutiérrez, C.; Martínez, R. 4 2011 Planar vector field versions of Carathéodory’s and Loewner’s conjectures. Zbl 0898.53002Gutierrez, Carlos; Sánchez-Bringas, Federico 3 1997 Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure. Zbl 1337.92141González, M.; Gutiérrez, C.; Martínez, R. 3 2012 Planar maps whose second iterate has a unique fixed point. Zbl 1149.26024Alarcón, Begoña; Gutierrez, Carlos; Martínez-Alfaro, José 3 2008 On a conjecture of Carathéodory: Analyticity versus smoothness. Zbl 0862.57023Gutierrez, Carlos; Mercuri, Francesco; Sánchez-Bringas, Federico 3 1996 Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026Sotomayor, J.; Gutiérrez, C. 3 1985 Indices of Newton non-degenerate vector fields and a conjecture of Loewner for surfaces in \(\mathbb R^4\). Zbl 1079.58031Gutierrez, Carlos; Ruas, Maria Aparecida Soares 3 2003 On the \(C^r\)-closing lemma. Zbl 1121.37305Gutierrez, Carlos 3 2001 Dissipative vector fields on the plane with infinitely many attracting hyperbolic singularities. Zbl 0776.34024Gutierrez, Carlos 3 1992 Finite branched coverings in a generalized inverse mapping theorem. Zbl 1179.26043Gutierrez, Carlos; Biasi, Carlos 3 2008 Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato 2 1987 On a Carathéodory’s conjecture on umbilics: representing ovaloids. Zbl 0897.53003Gutierrez, Carlos; Sánchez-Bringas, Federico 2 1997 On two-dimensional recurrence. Zbl 0465.58015Gutierrez, Carlos 2 1979 Rank-1 codimension one singularities of positive quadratic differential forms. Zbl 1055.37058Guíñez, V.; Gutierrez, C. 2 2004 Interval exchange transformations and foliations on infinite genus 2-manifolds. Zbl 1059.37018Gutierrez, Carlos; Hector, Gilbert; López, Américo 2 2004 Properness and the Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1063.14078Nguyen Van Chau; Gutierrez, Carlos 2 2003 Affine interval exchange transformations with flips and wandering intervals. Zbl 1170.37020Gutierrez, C.; Lloyd, S.; Pires, B. 2 2009 Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach. Zbl 0994.53002Garcia, Ronaldo; Gutierrez, C. 2 2000 The Poincaré-Bendixson theorem on the Klein bottle for continuous vector fields. Zbl 1191.37013Demuner, D. P.; Federson, M.; Gutierrez, C. 2 2009 Foliations on surfaces having exceptional leaves. Zbl 0658.57017Gutiérrez, Carlos 2 1988 On \(C^{r}\)-closing for flows on orientable and non-orientable 2-manifolds. Zbl 1208.37013Gutierrez, Carlos; Pires, Benito 2 2009 Almost periodic Schrödinger operators along interval exchange transformations. Zbl 1074.47015de Oliveira, César R.; Gutierrez, Carlos 1 2003 Stable vector fields on manifolds with simple singularities. Zbl 0504.58027Gutierrez, Carlos; Sotomayor, Jorge 1 1982 Cantor singular continuous spectrum for operators along interval exchange transformations. Zbl 1134.47020Cobo, M.; Gutierrez, C.; De Oliveira, C. R. 1 2008 Structural stability for line fields with singularities on two-manifolds. Zbl 0322.58008Gutierrez, Carlos 1 1975 Positive quadratic differential forms: Topological equivalence through Newton polyhedra. Zbl 1130.37343Gutierrez, C.; Oliveira, R. D. S.; Teixeira, M. A. 1 2006 Iterated images and the plane Jacobian conjecture. Zbl 1110.14055Peretz, Ronen; Nguyen Van Chau; Campbell, L. Andrew; Gutierrez, Carlos 1 2006 A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 1078.53005Gutierrez, Carlos; Guadalupe, Irwen; Tribuzy, Renato; Guíñez, Víctor 1 2002 Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets. Zbl 1473.90151Gutiérrez, C. 1 2019 Plane foliations with a saddle singularity. Zbl 1238.34092Gutierrez, Carlos; Martínez-Alfaro, Jose; Venato-Santos, Jean 1 2012 Bethe-Salpeter bound-state structure in Minkowski space. Zbl 1367.81067Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro 1 2016 Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets. Zbl 1473.90151Gutiérrez, C. 1 2019 Bethe-Salpeter bound-state structure in Minkowski space. Zbl 1367.81067Gutierrez, C.; Gigante, V.; Frederico, T.; Salmè, G.; Viviani, M.; Tomio, Lauro 1 2016 Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure. Zbl 1337.92141González, M.; Gutiérrez, C.; Martínez, R. 3 2012 Plane foliations with a saddle singularity. Zbl 1238.34092Gutierrez, Carlos; Martínez-Alfaro, Jose; Venato-Santos, Jean 1 2012 Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice. Zbl 1405.92157Alsmeyer, G.; Gutiérrez, C.; Martínez, R. 4 2011 Flows without wandering points on compact connected surfaces. Zbl 1203.37025Cobo, Milton; Gutierrez, Carlos; Llibre, Jaume 8 2010 Transitive circle exchange transformations with flips. Zbl 1178.37039Gutierrez, Carlos; Lloyd, Simon; Medvedev, Vladislav; Pires, Benito; Zhuzhoma, Evgeny 4 2010 Foliations and polynomial diffeomorphisms of \(\mathbb R^3\). Zbl 1171.37014Gutierrez, Carlos; Maquera, Carlos 5 2009 Affine interval exchange transformations with flips and wandering intervals. Zbl 1170.37020Gutierrez, C.; Lloyd, S.; Pires, B. 2 2009 The Poincaré-Bendixson theorem on the Klein bottle for continuous vector fields. Zbl 1191.37013Demuner, D. P.; Federson, M.; Gutierrez, C. 2 2009 On \(C^{r}\)-closing for flows on orientable and non-orientable 2-manifolds. Zbl 1208.37013Gutierrez, Carlos; Pires, Benito 2 2009 The implicit function theorem for continuous functions. Zbl 1173.58004Biasi, Carlos; Gutierrez, Carlos; dos Santos, Edivaldo L. 7 2008 Planar embeddings with a globally attracting fixed point. Zbl 1178.37028Alarcón, Begoña; Guíñez, Víctor; Gutierrez, Carlos 6 2008 Planar maps whose second iterate has a unique fixed point. Zbl 1149.26024Alarcón, Begoña; Gutierrez, Carlos; Martínez-Alfaro, José 3 2008 Finite branched coverings in a generalized inverse mapping theorem. Zbl 1179.26043Gutierrez, Carlos; Biasi, Carlos 3 2008 Cantor singular continuous spectrum for operators along interval exchange transformations. Zbl 1134.47020Cobo, M.; Gutierrez, C.; De Oliveira, C. R. 1 2008 Global injectivity of \(C^1\) maps of the real plane, inseparable leaves and the Palais-Smale condition. Zbl 1131.37026Gutierrez, C.; Jarque, X.; Llibre, J.; Teixeira, M. A. 8 2007 A remark on an eigenvalue condition for the global injectivity of differentiable maps of \(\mathbb R^2\). Zbl 1118.37024Gutierrez, Carlos; Nguyen Van Chau 5 2007 Hopf bifurcation at infinity for planar vector fields. Zbl 1120.37023Alarcón, Begoña; Guíñez, Víctor; Gutierrez, Carlos 4 2007 Injectivity of differentiable maps \(\mathbb R^2 \rightarrow \mathbb R^2\) at infinity. Zbl 1144.26301Gutierrez, Carlos; Rabanal, Roland 10 2006 Asymptotic stability at infinity for differentiable vector fields of the plane. Zbl 1115.34049Gutierrez, Carlos; Pires, Benito; Rabanal, Roland 8 2006 On nonsingular polynomial maps of \(\mathbb R^2\). Zbl 1102.14043Nguyen Van Chau; Gutierrez, Carlos 4 2006 Positive quadratic differential forms: Topological equivalence through Newton polyhedra. Zbl 1130.37343Gutierrez, C.; Oliveira, R. D. S.; Teixeira, M. A. 1 2006 Iterated images and the plane Jacobian conjecture. Zbl 1110.14055Peretz, Ronen; Nguyen Van Chau; Campbell, L. Andrew; Gutierrez, Carlos 1 2006 On Peixoto’s conjecture for flows on non-orientable 2-manifolds. Zbl 1058.37017Gutierrez, Carlos; Pires, Benito 5 2005 Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\). Zbl 1126.37306Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 30 2004 Bifurcations of umbilic points and related principal cycles. Zbl 1075.53004Gutiérrez, Carlos; Sotomayor, Jorge; Garcia, Ronaldo 12 2004 Rank-1 codimension one singularities of positive quadratic differential forms. Zbl 1055.37058Guíñez, V.; Gutierrez, C. 2 2004 Interval exchange transformations and foliations on infinite genus 2-manifolds. Zbl 1059.37018Gutierrez, Carlos; Hector, Gilbert; López, Américo 2 2004 On local diffeomorphisms of \(\mathbb{R}^n\) that are injective. Zbl 1067.37019Fernandes, Alexandre; Gutierrez, Carlos; Rabanal, Roland 12 2003 Injectivity of \(C^1\) maps \(\mathbb R^2\to\mathbb R^2\) at infinity and planar vector fields. Zbl 1213.37028Gutierrez, Carlos; Sarmiento, Alberto 8 2003 Indices of Newton non-degenerate vector fields and a conjecture of Loewner for surfaces in \(\mathbb R^4\). Zbl 1079.58031Gutierrez, Carlos; Ruas, Maria Aparecida Soares 3 2003 Properness and the Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1063.14078Nguyen Van Chau; Gutierrez, Carlos 2 2003 Almost periodic Schrödinger operators along interval exchange transformations. Zbl 1074.47015de Oliveira, César R.; Gutierrez, Carlos 1 2003 On the injectivity of \(C^1\) maps of the real plane. Zbl 1013.37015Cobo, Milton; Gutierrez, Carlos; Llibre, Jaume 16 2002 Darbouxian integrability for polynomial vector fields on the 2-dimensional sphere. Zbl 1042.34059Gutierrez, Carlos; Llibre, Jaume 4 2002 A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 1078.53005Gutierrez, Carlos; Guadalupe, Irwen; Tribuzy, Renato; Guíñez, Víctor 1 2002 On the \(C^r\)-closing lemma. Zbl 1121.37305Gutierrez, Carlos 3 2001 Lines of principal curvature around umbilics and Whitney umbrellas. Zbl 0973.37012Garcia, Ronaldo; Gutierrez, Carlos; Sotomayor, Jorge 21 2000 On \(C^r\)-closing for flows on 2-manifolds. Zbl 0968.37010Gutierrez, Carlos 4 2000 Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach. Zbl 0994.53002Garcia, Ronaldo; Gutierrez, C. 2 2000 Lines of curvature, umbilic points and Carathéodory conjecture. Zbl 1098.53500Gutierrez, Carlos; Sotomayor, Jorge 17 1998 Structurally stable configurations of lines of curvature and umbilic points on surfaces. Zbl 1160.53304Sotomayor, Jorge; Gutierrez, Carlos 14 1998 On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\). Zbl 0942.53009Gutierrez, C.; Sánchez-Bringas, F. 5 1998 Affine interval exchange transformations with wandering intervals. Zbl 0895.58019Camelier, Ricardo; Gutierrez, Carlos 13 1997 Lines of curvature on surfaces immersed in \(\mathbb{R}^4\). Zbl 0893.53004Gutierrez, Carlos; Guadalupe, Irwen; Tribuzy, Renato; Guíñez, Víctor 9 1997 Planar vector field versions of Carathéodory’s and Loewner’s conjectures. Zbl 0898.53002Gutierrez, Carlos; Sánchez-Bringas, Federico 3 1997 On a Carathéodory’s conjecture on umbilics: representing ovaloids. Zbl 0897.53003Gutierrez, Carlos; Sánchez-Bringas, Federico 2 1997 Positive quadratic differential forms: Linearization, finite determinacy and versal unfolding. Zbl 0882.58007Gutierrez, Carlos; Guíñez, Victor 6 1996 On a conjecture of Carathéodory: Analyticity versus smoothness. Zbl 0862.57023Gutierrez, Carlos; Mercuri, Francesco; Sánchez-Bringas, Federico 3 1996 A solution to the bidimensional global asymptotic stability conjecture. Zbl 0837.34057Gutierrez, Carlos 49 1995 Asymptotic stability at infinity of planar vector fields. Zbl 0848.58034Gutierrez, Carlos; Teixeira, Marco-Antonio 9 1995 Knots and minimal flows on 3-manifolds. Zbl 0842.57032Gutierrez, Carlos 4 1995 Dissipative vector fields on the plane with infinitely many attracting hyperbolic singularities. Zbl 0776.34024Gutierrez, Carlos 3 1992 Periodic lines of curvature bifurcating from Darbouxian umbilical connections. Zbl 0714.34057Gutierrez, C.; Sotomayor, J. 4 1990 Foliations on surfaces having exceptional leaves. Zbl 0658.57017Gutiérrez, Carlos 2 1988 A counter-example to a \(C^ 2\) closing lemma. Zbl 0642.58036Gutierrez, C. 12 1987 Principal lines on surfaces minimally immersed in constantly curved 4- spaces. Zbl 0633.53010Guadalupe, I.; Gutierrez, C.; Sotomayor, J.; Tribuzy, Renato 2 1987 Smoothing continuous flows on two-manifolds and recurrences. Zbl 0606.58042Gutierrez, Carlos 28 1986 Lines of principal curvature for mappings with Whitney umbrella singularities. Zbl 0611.53007Gutierrez, Carlos; Sotomayor, Jorge 10 1986 On the \(C^ r\)-closing lemma for flows on the torus \(T^ 2\). Zbl 0609.58022Gutierrez, C. 6 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 Configurations of lines of principal curvature and their bifurcations. Zbl 0587.58026Sotomayor, J.; Gutiérrez, C. 3 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 Smoothability of Cherry flows on two-manifolds. Zbl 0545.58039Gutierrez, Carlos 4 1983 Stable vector fields on manifolds with simple singularities. Zbl 0504.58027Gutierrez, Carlos; Sotomayor, Jorge 1 1982 Smoothing continuous flows and the converse of Denjoy-Schwartz theorem. Zbl 0478.58020Gutierrez, Carlos 5 1979 On two-dimensional recurrence. Zbl 0465.58015Gutierrez, Carlos 2 1979 Structural stability for flows on the torus with a cross-cap. Zbl 0396.58017Gutierrez, Carlos 19 1978 Smooth nonorientable nontrivial recurrence on two-manifolds. Zbl 0413.58018Gutierrez, Carlos 13 1978 The connected components of Morse-Smale vector fields on two-manifolds. Zbl 0356.58007Gutierrez, C.; de Melo, W. 4 1977 Structural stability for line fields with singularities on two-manifolds. Zbl 0322.58008Gutierrez, Carlos 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 17 Authors 4 Zhuzhoma, Evgeniĭ Viktorovich 3 Aranson, Samuil Khaĭmovich 2 Martínez-Alfaro, José 2 Medvedev, Vladislav Sergeevich 2 Pires, Benito 2 Rabanal, Roland 1 Alarcón, Begoña 1 Anosov, Dmitriĭ Viktorovich 1 Lenz, Daniel H. 1 Liu, Wei 1 Malkin, Mikhail Iosifovich 1 Maquera, Carlos 1 Masáková, Zuzana 1 Peixoto, Maria Lúcia Alvarenga 1 Pelantová, Edita 1 Sabatini, Marco 1 Venato-Santos, Jean all top 5 Cited in 13 Serials 2 Journal of Differential Equations 1 Mathematical Notes 1 Mathematische Zeitschrift 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Bulletin of the Brazilian Mathematical Society. New Series 1 AIMS Mathematics all top 5 Cited in 8 Fields 9 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year