J. Sotomayor

发表

Stability and Hopf Bifurcation in the Watt Governor System

Denis de Carvalho Braga, J. Sotomayor, L. F. Mello, 2006, math/0604177.

Lines of principal curvature on canal surfaces in R3.

J. Sotomayor, J. Llibre, Ronaldo Garcia, 2006, Anais da Academia Brasileira de Ciencias.

On a class of complete polynomial vector fields in the plane

Carmen Chicone, J. Sotomayor, J. Sotomayor, 1986 .

Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3

Freddy Dumortier, Robert Roussarie, Jorge Sotomayor, 1987, Ergodic Theory and Dynamical Systems.

Generic one-parameter families of vector fields on two-dimensional manifolds

Jorge Sotomayor, J. Sotomayor, 1968 .

GENERIC 3-PARAMETER FAMILIES OF PLANAR VECTOR-FIELDS, UNFOLDINGS OF SADDLE, FOCUS AND ELLIPTIC-SINGULARITIES WITH NILPOTENT LINEAR PARTS

J. Sotomayor, F. Dumortier, R. Roussarie, 1991 .

On a list of ordinary differential equations problems

J. Sotomayor, 2018, São Paulo Journal of Mathematical Sciences.

Further considerations on the number of limit cycles of vector fields of the form ()

Jaume Llibre, Armengol Gasull, Jorge Sotomayor, 1987 .

An encounter in the realm of Structural Stability between a qualitative theory for geometric shapes and one for the integral foliations of differential equations

J. Sotomayor, 2020, 2009.05638.

Mathematical Encounters.

J. Sotomayor, 2018, 1803.10593.

Bifurcations of Umbilic Points and Related Principal Cycles

J. Sotomayor, Ronaldo Garcia, C. Gutierrez, 2003, math/0311432.

Lines of principal curvature on canal surfaces in R3.

J. Sotomayor, J. Llibre, Ronaldo Garcia, 2006, Anais da Academia Brasileira de Ciencias.

Bifurcation analysis of the Watt governor system

Denis de Carvalho Braga, J. Sotomayor, L. F. Mello, 2006, math/0606230.

Codimension two umbilic points on surfaces immersed in $R^3$

J. Sotomayor, Ronaldo Garcia, 2006, math/0601246.

Historical Comments on Monge's Ellipsoid and the Configuration of Lines of Curvature on Surfaces Immersed in ${\mathbb R}^3$

J. Sotomayor, 2004, math/0411403.

D G ] 2 9 M ar 2 00 4 LINES OF MEAN CURVATURE ON SURFACES IMMERSED IN R 3

J. Sotomayor, R. Garcia, 2022 .

HARMONIC MEAN CURVATURE LINES ON SURFACES IMMERSED IN R 3

J. Sotomayor, Ronaldo Garcia, 2003, math/0302196.

Definitions and notations

Freddy Dumortier, Robert Roussarie, Jorge Sotomayor, 1991 .

Stability and Hopf Bifurcation in an Hexagonal Governor System With a Spring

Denis de Carvalho Braga, J. Sotomayor, L. F. Mello, 2006, math/0612420.

Stability and Hopf Bifurcation in the Watt Governor System

Denis de Carvalho Braga, J. Sotomayor, L. F. Mello, 2006, math/0604177.

Bifurcations of cuspidal loops

Freddy Dumortier, Robert Roussarie, Jorge Sotomayor, 1997 .

Axiumbilic Singular Points on Surfaces Immersed in R4 and their Generic Bifurcations

J. Sotomayor, Ronaldo Garcia, F. Spindola, 2013, 1304.0197.

A metric property of umbilic points

J. Sotomayor, Ronaldo Garcia, 2003, math/0305185.

On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points

J. Sotomayor, Ronaldo Garcia, 2004, math/0411030.

Umbilic singularities and lines of curvature on ellipsoids of ℝ4

J. Sotomayor, R. Garcia, D. Lopes, 2014, Bulletin of the Brazilian Mathematical Society, New Series.

Generic Bifurcations of Dynamical Systems

Jorge Sotomayor, J. Sotomayor, 1973 .

Closed principal lines and bifurcation

J. Sotomayor, C. Gutierrez, 1986 .

Lines of curvature and an integral form of Mainardi-Codazzi equations

J. Sotomayor, 1996 .

Bifurcations in a Class of Polycycles Involving Two Saddle-Nodes on a Möbius Band

J. Sotomayor, C. Pessoa, 2008, 0810.1951.

Structural stability of piecewise-linear vector fields

J. Sotomayor, Ronaldo Garcia, 2003 .

STABLE PIECEWISE POLYNOMIAL VECTOR FIELDS

J. Sotomayor, C. Pessoa, 2012, 1201.1011.

Limit cycles of vector fields of the form ()

Jaume Llibre, Armengol Gasull, Jorge Sotomayor, 1987 .

Stability and Hopf bifurcation in an hexagonal governor system

Denis de Carvalho Braga, Luis Fernando Mello, Jorge Sotomayor, 2008 .

Hopf Bifurcations in a Watt Governor with a Spring

Denis de Carvalho Braga, Luis Fernando Mello, Jorge Sotomayor, 2008, 0802.4438.

Lines of Curvature on Surfaces, Historical Comments and Recent Developments

Ronaldo Garcia, Jorge Sotomayor, J. Sotomayor, 2007, 0712.1585.

Lyapunov Coefficients for Degenerate Hopf Bifurcations

Denis de Carvalho Braga, Luis Fernando Mello, Jorge Sotomayor, 2007, 0709.3949.

Lines of principal curvature near singular end points of surfaces in $\mathbb{R}^3$

J. Sotomayor, Ronaldo Garcia, 2006 .

Lines of mean curvature on surfaces immersed inR3

J. Sotomayor, Ronaldo Garcia, 2004, math/0403500.

Periodic lines of curvature bifurcating from Darbouxian umbilical connections

J. Sotomayor, J. Sotomayor, C. Gutierrez, 1990 .

Historical Comments on Monge’s Ellipsoid and the Configurations of Lines of Curvature on Surfaces

J. Sotomayor, Ronaldo Garcia, 2017 .

Lines of Principal Curvature near Singular End Points of Surfaces in R3

J. Sotomayor, Ronaldo Garcia, 2005, math/0501422.

Geometric mean curvature lines on surfaces immersed in ${\bf R}^3$

J. Sotomayor, Ronaldo Garcia, 2002 .

Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R3

J. Sotomayor, Ronaldo Garcia, 2001 .

Structural stability of asymptotic lines on surfaces immersed in R3

J. Sotomayor, Ronaldo Garcia, C. Gutierrez, 1999 .

Lines of Curvature, Umbilic Points and Caratheodory Conjecture

Jorge Sotomayor, J. Sotomayor, C. Gutierrez, 1998 .

Lines of curvature near principal cycles

J. Sotomayor, Ronaldo Garcia, 1992 .

Lines of curvature and umbilic points on surfaces

J. Sotomayor, 1992 .

An approximation theorem for immersions with stable configurations of lines of principal curvature

Jorge Sotomayor, J. Sotomayor, C. Gutierrez, 1983 .

Tori embedded in S³ with dense asymptotic lines

J. Sotomayor, Ronaldo Garcia, 2008, 0810.2024.

T ori embedded in S 3 with dense asymptotic lines

J. Sotomayor, R. Garcia, Abstr A Ct, 2008 .

Geometric Mean Curvature Lines on Surfaces Immersed in R3

J. Sotomayor, Ronaldo Garcia, 2003, math/0302194.

Structurally stable discontinuous vector fields in the plane

J. Sotomayor, Ana Lúcia F. Machado, 2002 .

Inversion of smooth mappings

J. Sotomayor, 1990 .

Vector fields near the boundary of a 3-manifold

Marco Antonio Teixeira, J. Sotomayor, J. Sotomayor, 1988 .

Transformation into normal form

J. Sotomayor, F. Dumortier, R. Roussarie, 1991 .

Quadratic vector fields with finitely many periodic orbits

J. Sotomayor, J. Sotomayor, R. Paterlini, 1983 .

Abelian integrals in unfoldings of codimension 3 singular planar vector fields

J. Sotomayor, F. Dumortier, R. Roussarie, 1991 .

Curvatures of conflict surfaces in Euclidean 3-space

Ronaldo Garcia, Jorge Sotomayor, Dirk Siersma, 1999 .

Principal Curvature Lines Near a Partially Umbilic Point of Codimension One

J. Sotomayor, R. Garcia, D. Lopes, 2022, Lobachevskii Journal of Mathematics.

Principal Curvature Lines Near a Partially Umbilic Point of Codimension One

J. Sotomayor, R. Garcia, D. Lopes, 2022, Lobachevskii Journal of Mathematics.

PARTIALLY UMBILIC SINGULARITIES OF HYPERSURFACES OF R 4

J. Sotomayor, Ronaldo Garcia, D. Lopes, 2015 .

Partially umbilic singularities of hypersurfaces of $\mathbb R^4$

J. Sotomayor, Ronaldo Garcia, D. Lopes, 2014, 1410.8548.

Impasse Singularities of Differential Systems of the Form A(x) x′=F(x)

Michail Zhitomirskii, Jorge Sotomayor, J. Sotomayor, 2001 .

Structural Stability of Constrained Polynomial Systems

J. Sotomayor, J. Llibre, 1998 .

Generic one-parameter families of vector fields on two-dimensional manifolds

Jorge Sotomayor, J. Sotomayor, 1968 .

Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals

Freddy Dumortier, Robert Roussarie, Jorge Sotomayor, 1991 .

Smooth dependence of solutions of differential equations on initial data: A simple proof

J. Sotomayor, 1973 .

On the motion under focal attraction in a rotating medium

J. Sotomayor, 2008, 0801.4500.

Hopf Bifurcation in a Model for Biological Control

Denis de Carvalho Braga, J. Sotomayor, L. F. Mello, 2007, 0708.0719.

Principal lines on surfaces immersed with constant mean curvature

J. Sotomayor, C. Gutierrez, 1986 .

Codimension two umbilic points on surfaces immersed

J. Sotomayor, Ronaldo Garcia, 2007 .

On a list of ordinary differential equations problems

J. Sotomayor, 2018, São Paulo Journal of Mathematical Sciences.

Lines of axial curvature at critical points on surfaces mapped into R4

J. Sotomayor, Ronaldo Garcia, 2012, 1304.1906.

Axial Curvature Cycles of Surfaces Immersed in RRR 4

J. Sotomayor, R. Garcia, F. Spindola, 2022 .

Stability and regularity in bifurcations of planar vector fields

J. Sotomayor, 1989, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Structural Stability and Bifurcation Theory

J. Sotomayor, 1973 .

Structurally stable configurations of lines of principal curvature

J. Sotomayor, C. Gutierrez, 2019 .

Global asymptotic stability of differential equations in the plane

J. Sotomayor, J. Llibre, A. Gasull, 1991 .

Harmonic mean curvature lines on surfaces immersed in % MathType!Translator!2!1!AMS LaTeX.tdl!TeX -- AMS-LaTeX! % MathType!MTEF!2!1!+- % feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9

J. Sotomayor, Ronaldo Garcia, 2003 .

On the basin of attraction of dissipative planar vector fields

J. Sotomayor, A. Gasull, 1990 .

Bifurcation analysis of a model for biological control

Denis de Carvalho Braga, Luis Fernando Mello, Jorge Sotomayor, 2008, Math. Comput. Model..