Artigos

Listamos as publicações em revistas especializadas da área, por ano.

 

2021

138 - Kamila da S. Andrade, Oscar A. R. Cespedes, Dayane R. Cruz, Douglas D. Novaes. Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve. Journal of Differential Equations, Vol 287, 2021.

 

 

2020

 

137 - Mizukoshi, Marina T.; LODWICK, WELDON A. . The interval eigenvalue problem using constraint interval analysis with an application to linear differential equations. FUZZY SETS AND SYSTEMS, 2020.                                                                                                                                                                                                                       

136 - Garcia, Ronaldo A.; Cruz, Douglas H.. Finite type XI-asymptotic lines of plane fields in R^3. Journal of Singularities, 2020.  
                                                                                                                                                                                                              
135 - CRISTIANO, RONY; PAGANO, DANIEL J. ; HENAO, MARDUCK M. . Multiple boundaries sliding mode control applied to capacitor voltage-balancing systems. Communications in Nonlinear Science and Numerical Simulation, v. 91, p. 105430, 2020.                                                                                                                                                                                                                           
134 - GARCIA, RONALDO A; Koiller, J. . The Ballet of Triangle Centers on the Elliptic Billiard. Journal for Geometry and Graphics, v. 24, p. 79-101, 2020.
                             
133 - Sotomayor, J. ; GARCIA, Ronaldo Alves ; Mello, L. F. . Maurício Matos Peixoto. Revista Matemática Universitária, v. 1, p. 1-22, 2020.  
                               
132 - MEDRADO, JOAO C.; Llibre, J. ; JIMENEZ, JEIDY. Crossing limit cycles for a class of piecewise linear differential centers separated by a conic. Electronic Journal of Differential Equations, v. 2020, p. 1-36, 2020.                                                                                          
131 - JIMENEZ, JEIDY ; LLIBRE, Jaume ; MEDRADO, JOAO . Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve. Electronic Journal of Qualitative Theory of Differential Equations, v. 1, p. 1-48, 2020.                                                                                                                                                                                                                                      
130 - CARVALHO, Tiago de ; CRISTIANO, R. ; PAGANO, D. ; TONON, D.J. . Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems. PHYSICA D-NONLINEAR PHENOMENA, v. 403, p. 132293, 2020.                                                                                                                                                                                                                                  
129 - Carvalho, Tiago ; CRISTIANO, R. ; GONCALVES, L. F. ; TONON, D. J. . Global analysis of the dynamics of a mathematical model to intermittent HIV treatment. NONLINEAR DYNAMICS, v. 101, p. 719-739, 2020.                                                                                 
128 - Carvalho, Tiago; Euzébio, Rodrigo. Minimal sets and chaos in planar piecewise smooth vector fields. Electronic Journal of Qualitative Theory of Differential Equations, v. 33, p. 1-15, 2020.         
                                                                                                                                  
127 - Barajas, M. ; Craizer, M. ; Garcia, R. . Lines of Affine Principal Curvatures of Surfaces in 3-Space. Results in Mathematics, v. 75, p. 32, 2020. 
             
126 - Gomide, Otávio M. L.; Guardia, Marcel; Seara, Tere M. Critical velocity in kink-defect interaction models: Rigorous results. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 269, p. 3282-3346, 2020.
           
125 - Gomide, Otávio M. L.; Teixeira, Marco A. On structural stability of 3D Filippov systems. Mathematische Zeitschrift, v. 294, p. 419-449, 2020.
          
124 - Buzzi, Claudio A. ; Medrado, João C. ; Torregrosa, Joan . Limit cycles in 4-star-symmetric planar piecewise linear systems. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 268, p. 2414-2434, 2020.
         
123 - Cardoso, J. L. ; Llibre, J. ; Novaes, D. D. ; Tonon, D. J. . Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 35, p. 490-514, 2020.
             
122 - Llibre, J. ; Tonon, D. J. ; Velter, M. Q. . Crossing Periodic Orbits via First Integrals. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 30, p. 2050163, 2020.
                
121 - Carvalho, T.; Freitas, B. R. Birth of isolated nested cylinders and limit cycles in 3D piecewise smooth vector fields with symmetry. International Journal of Bifurcation and Chaos, v. 30, p. 2050098-1-2050098-10, 2020.

 

2019

120 - CRISTIANO, RONY; PAGANO, DANIEL J. . Two-Parameter Boundary Equilibrium Bifurcations in 3D-Filippov Systems. Journal of Nonlinear Science, v. 1, p. 1-31, 2019.                                                                                                                                
119 - CRISTIANO, RONY; PONCE, ENRIQUE ; PAGANO, DANIEL J. ; GRANZOTTO, MATHIEU . On the Teixeira singularity bifurcation in a DC-DC power electronic converter. NONLINEAR DYNAMICS, v. 96, p. 1243-1266, 2019.

118 - Reznik, Dan ; Garcia, Ronaldo ; Koiller, Jair . Can the Elliptic Billiard Still Surprise Us?. MATHEMATICAL INTELLIGENCER, v. 42, p. 6-17, 2019.

117 - Carvalho, Tiago de ; Cristiano, R. ; Pagano, D. ; Tonon, D. J. Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems. PHYSICA D-NONLINEAR PHENOMENA, 2019 (aceito para publicação).

116 - Cristiano, Rony; Pagano, Daniel J.; Carvalho, Tiago; Tonon, Durval J. Bifurcations at a degenerate two-fold singularity and crossing limit cycles. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 268, p. 115-140, 2019.

115 - Craizer, Marcos; Garcia, Ronaldo A. Quadratic points of surfaces in projective 3-space.Q. J. Math.70 (2019),no. 3, 1105–1134. 53A20 (14C21 53A60)

114 - Tiago de Carvalho, Bruno Freitas. Birth of an arbitrary number of T-singularities in 3D piecewise smooth vector fields. Discrete & Continuous Dynamical Systems - B, 2019, 24 (9) : 4851-4861. doi: 10.3934/dcdsb.2019034

113 - Garcia, Ronaldo, Elliptic billiards and ellipses associated to the 3-periodic orbits. Amer. Math. Monthly 126 (2019), no. 6, 491–504. 37D50 (53A15).

112 - Bastos, R., Rocco, N.R., Vieira, E.R. Finiteness of homotopy groups related to the non-abelian tensor product, Annali di Matematica Pura ed Applicata- 1923 (2019).

111 - Andrade, K. da S.; Jeffrey, M. R.; Martins, R. M.; Teixeira, M. A.. On the Dulac's problem for piecewise analytic vector fields. J. Differential Equations 266 (2019), no. 4, 2259–2273.

110 - Martins, Ricardo M.; Tonon, Durval J. The chaotic behaviour of piecewise smooth differential equations on two-dimensional torus and sphere. Dyn. Syst. 34 (2019), no. 2, 356–373. (Reviewer: Zhengdong Du) 34A36 (34C23 34C28)

2018

109 - CRISTIANO, RONY; PAGANO, DANIEL J. ; FREIRE, EMILIO ; PONCE, ENRIQUE . Revisiting the Teixeira Singularity Bifurcation Analysis: Application to the Control of Power Converters. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 28, p. 1850106, 2018.                                                        

108 - Vieira, Evilson; Garcia, Ronaldo. Asymptotic behavior of the shape of planar polygons by linear flows. Linear Algebra Appl. 557 (2018), 508–528.

107 - Carvalho, Tiago; Cardoso, João Lopes; Tonon, Durval José. Canonical forms for codimension one planar piecewise smooth vector fields with sliding region. J. Dynam. Differential Equations 30 (2018), no. 4, 1899–1920.

106 - Llibre, Jaume; Martins, Ricardo Miranda; Tonon, Durval José. Limit cycles of piecewise smooth differential equations on two dimensional torus. J. Dynam. Differential Equations 30 (2018), no. 3, 1011–1027.

105 - Llibre, Jaume; Tonon, Durval José. The symmetric periodic orbits for the two-electron atom. Lett. Math. Phys. 108 (2018), no. 8, 1851–1871.

104 - Buzzi, Claudio A.; Carvalho, Tiago; Euzébio, Rodrigo D.. On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields. Publ. Mat. 62 (2018), no. 1, 113–131.

103 - de Freitas, Bruno R.; Llibre, Jaume; Medrado, Joao C.. Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3. J. Comput. Appl. Math. 338 (2018), 311–323.

102 - Freitas, Bruno R.; Garcia, Ronaldo A.. Inflection points on hyperbolic tori of S3. Q. J. Math. 69 (2018), no. 2, 709–728.

 2017

101 - Gomide, Otávio M. L.; Martins, Ricardo M. Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree. Discrete and Continuous Dynamical Systems, v. 37, p. 3353-3386, 2017.

100 - Mizukoshi, M. T.; Cecconello, M. S.. Dynamics and bifurcations of fuzzy nonlinear dynamical systems. Fuzzy Sets and Systems 319 (2017), 81–92.

99 - Euzébio, Rodrigo D.; Gouveia, Márcio R. A.. Poincaré recurrence theorem for non-smooth vector fields. Z. Angew. Math. Phys. 68 (2017), no. 2, Art. 40, 10 pp.

98 - Euzébio, Rodrigo D.; Llibre, Jaume. Zero-Hopf bifurcation in a Chua system. Nonlinear Anal. Real World Appl. 37 (2017), 31–40.

97 - Sotomayor, Jorge; Garcia, Ronaldo. Historical comments on Monge's ellipsoid and the configurations of lines of curvature on surfaces. Antiq. Math. 10 (2016), 169–182.

96 - Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł. Darboux curves on surfaces I. J. Math. Soc. Japan 69 (2017), no. 1, 1–24.

95 - de Carvalho, Tiago; Llibre, Jaume; Tonon, Durval José. Limit cycles of discontinuous piecewise polynomial vector fields. J. Math. Anal. Appl. 449 (2017), no. 1, 572–579.

94 - Carvalho, Tiago; Euzébio, Rodrigo D.; Teixeira, Marco Antonio; Tonon, Durval José. Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field. IMA J. Appl. Math. 82 (2017), no. 3, 561–578.

93 - Cristiano, Rony; Carvalho, Tiago; Tonon, Durval J.; Pagano, Daniel J.. Hopf and homoclinic bifurcations on the sliding vector field of switching systems in ℝ3: a case study in power electronics. Phys. D 347 (2017), 12–20.

92 - Llibre, Jaume; Tonon, Durval J.. Symmetric periodic orbits for the collinear charged 3-body problem. J. Math. Phys. 58 (2017), no. 2, 022702, 19 pp.

91 - Franzosa, Robert; Vieira, Ewerton R.. Transition matrix theory. Trans. Amer. Math. Soc. 369 (2017), no. 11, 7737–7764.

2016

90 - CRISTIANO, RONY; PAGANO, DANIEL J. ; BENADERO, LUIS ; PONCE, ENRIQUE . Bifurcation Analysis of a DC-DC Bidirectional Power Converter Operating with Constant Power Loads. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 26, p. 1630010-1630010-18, 2016.                                                                                                             
89 - GARCIA, RONALDO; Sotomayor, J. . Lines of curvature on quadric hypersurfaces of R4. Lobachevskii Journal of Mathematics, v. 37, p. 288-306, 2016.                                                                                                                                                                     
88 - GARCIA, RONALDO; LANGEVIN, R. ; WALCZAK, PAWEL . Darboux curves on surfaces II. Sociedade Brasileira de Matematica. Boletim, Nova Serie, v. 47, p. 1119-1154, 2016.

87 - CARVALHO, Tiago de ; EUZEBIO, R. D. ; LLIBRE, J. ; TONON, D. J. . Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems. Discrete and Continuous Dynamical Systems. Series B, v. 21, p. 1-11, 2016.

86 - Carvalho, Tiago ; TONON, D. J. ; Teixeira, M.A. . Asymptotic stability and bifurcations of 3D piecewise smooth vector fields. Zeitschrift fur Angewandte Mathematik und Physik (Printed ed.), v. 67, p. 31, 2016.

85 - FRANZOSA, ROBERT; DE REZENDE, KETTY A.; VIEIRA, EWERTON R. . Generalized topological transition matrix. Topological Methods in Nonlinear Analysis, v. 48, p. 183, 2016.

84 - Buzzi, Claudio ; LLIBRE, Jaume ; Medrado, João . Hopf and zero-Hopf bifurcations in the Hindmarsh-Rose system. Nonlinear Dynamics, v. 83, p. 1549-1556, 2016.

83 - MIZUKOSHI, M.T.; CECCONELLO, M.S. . Dynamics and bifurcations of fuzzy nonlinear dynamical systems. Fuzzy Sets and Systems, v. 00, p. 1-13, 2016.(versão online)

82 - Euzébio, R.; Pazim, R.; Ponce, E. Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones. Physica. D, Nonlinear Phenomena (Print), 325 (2016), 74 -85

81 - BUZZI, CLAUDIO A.; DE CARVALHO, TIAGO; EUZÉBIO, RODRIGO D.. Chaotic planar piecewise smooth vector fields with non-trivial minimal sets. Ergodic Theory & Dynamical Systems (Print), v. 36, p. 458-469, 2016.

2015

 

80 - BENADERO, LUIS ; CRISTIANO, RONY ; PAGANO, DANIEL J. ; PONCE, ENRIQUE . Nonlinear Analysis of Interconnected Power Converters: A Case Study. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, v. 5, p. 1-10, 2015.                                                              

79 - GARCIA, RONALDO; LANGEVIN, RÉMI; WALCZAK, PAWE' . Foliations making a constant angle with principal directions on ellipsoids. Annales Polonici Mathematici, v. 113, p. 165-173, 2015.

78 - Carvalho, Tiago; TONON, D. J. . Structural stability and normal forms of piecewise smooth vector fields on R3.. Publicationes Mathematicae (Debrecen), v. 86, p. 255-274, 2015.

77 - PESSOA, C.G.; TONON, D.J. . Piecewise smooth vector fields in R3 at infinity. Journal of Mathematical Analysis and Applications (Print), v. 427, p. 841-855, 2015.

76 - MEDRADO, J. C. R.; TORREGROSA, Joan . Uniqueness of limit cycles for sewing planar piecewise linear systems. Journal of Mathematical Analysis and Applications (Print), v. 431, p. 529-544, 2015.

75 - Buzzi, C. A.; Euzébio, R.D.; Mereu, A. C.  Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder. Bulletin des Sciences Mathématiques (Paris. 1885), 140 (2015), 519 - 540.

74 - EUZÉBIO, RODRIGO D.; LLIBRE, Jaume . Sufficient conditions for the existence of periodic Solutions of the extended Duffing-Van der Pol oscillator. International Journal of Computer Mathematics, v. online, p. 1-32, 2015.

2014

73 - EUZÉBIO, RODRIGO D.; LLIBRE, Jaume . On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line. Journal of Mathematical Analysis and Applications (Print), v. 424, p. 475-486, 2014.

72 - EUZÉBIO, RODRIGO D.; LLIBRE, Jaume ; VIDAL, CLAUDIO . Zero-Hopf bifurcation in the FitzHugh-Nagumo system. Mathematical Methods in the Applied Sciences, v. FirstV, p. n/a-n/a, 2014.

71 - Euzébio, Rodrigo Donizete; LLIBRE, Jaume . Periodic solutions of El Niño model through the Vallis differential system. Discrete and Continuous Dynamical Systems, v. 34, p. 3455-3469, 2014.

70 - ARTÉS, JOAN C. ; LLIBRE, Jaume ; MEDRADO, JOAO C. ; TEIXEIRA, MARCO A. . Piecewise linear differential systems with two real saddles. Mathematics and Computers in Simulation (Print), v. 95, p. 13-22, 2014.

69 - Carvalho, Tiago ; TONON, D.J. . Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 24, p. 1450090, 2014.

68 - GARCIA, RONALDO; SOTOMAYOR, J. ; SPINDOLOA, F. L. . Axiumbilic Singular Points on Surfaces Immersed in R^4 and their Generic Bifurcations. Journal of Singularities, v. 10, p. 124-146, 2014.

67 - LOPES, DÉBORA ; SOTOMAYOR, Jorge ; GARCIA, RONALDO . Umbilic singularities and lines of curvature on ellipsoids of -4. Sociedade Brasileira de Matematica. Boletim, Nova Serie, v. 45, p. 453-483, 2014.

2013

66 - GARCIA, Ronaldo Alves ; Marques, Diego . A family of minimal immersed tori in S3 with dense principal lines. Bulletin des Sciences Mathématiques (Paris. 1885), v. 137, p. 220-227, 2013.

65 - JACQUEMARD, A. ; TEIXEIRA, M. A. ; TONON, D. J. . Stability conditions in piecewise smooth dynamical systems at a two-fold singularity. Journal of Dynamical and Control Systems, v. 19, p. 47-67, 2013.

64 - MEDRADO, J. C. R. ; Buzzi, C.A. ; TEIXEIRA, Marco Antonio . Generic bifurcation of refracted systems. Advances in Mathematics (New York. 1965), v. 234, p. 653-666, 2013.

63 - Medrado, João C. ; Buzzi, C.A. ; SILVA, Paulo Ricardo . Peixoto s Theorem for vector fields on with impasse points. Bulletin des Sciences Mathématiques (Paris. 1885), v. 137, p. 691-704, 2013.

2012

62 - JACQUEMARD, A.; TEIXEIRA, M. A. ; TONON, D.J. . PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 22, p. 1250192, 2012.

61 - Jacquemard, Alain; TONON, D.J. . Coupled systems of non-smooth differential equations. Bulletin des Sciences Mathématiques (Paris. 1885), v. 136, p. 239-255, 2012.

60 - Mizukoshi, Marina T. ; Bassanezi, Rodney C. ; Brandão, Adilson J.V. ; Barros, Laécio C. . On the topological equivalence of some fuzzy flows near hyperbolic equilibria. Fuzzy Sets and Systems, v. 189, p. 92-100, 2012.

59 - GARCIA, Ronaldo Alves ; Sotomayor, J. . Lines of axial curvature at critical points on surfaces mapped into R4. São Paulo Journal of Mathematical Sciences, v. 6, p. 277-300, 2012.

58 - GARCIA, Ronaldo Alves. Aspectos da História da Sociedade Brasileira de Matemática (1969-2011). Revista Brasileira de História da Matemática, v. 11, p. 99-109, 2012.

57 - BUZZI, Claudio A ; EUZÉBIO, Rodrigo D; LLIBRE, Jaume ; Mello, Luis Fernando . Discussion on the limit cycles of the Lev Ginzburg equation by M. Bellamy and R.E. Mickens, Journal of Sound and Vibration 308 (2007) 337-342. Journal of Sound and Vibration, v. 331, p. 5168-5170, 2012. 

2011

56 - LLIBRE, Jaume; Medrado, João C.. Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus?. Bulletin des Sciences Mathématiques (Paris. 1885), v. 135, p. 1-9, 2011.

55 - Buzzi, C.A.; Llibre, J.; MEDRADO, J. C. R.. On the limit cycles of a class of piecewise linear differential systems in R4 with two zones. Mathematics and Computers in Simulation (Print), v. 82, p. 1-7, 2011.

54 - TONON, D.J.; Carvalho, Tiago . Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations. Bulletin of the Belgian Mathematical Society Simon Stevin, v. 18, p. 861-881, 2011.

2010

53 - CIMA, Anna; LLIBRE, Jaume; MEDRADO, J. C. R.. New Family of Centers for Polynomial Vector fields of Arbitrary Degree. Communications on Applied Nonlinear Analysis, v. 17, p. 15-24, 2010.

2009

52 - Buzzi, Claudio; LLIBRE, Jaume; TORREGROSA, Joan; MEDRADO, J. C. R. . Bifurcation of limit cycles from a centre in ?4 in resonance 1:N. Dynamical Systems (Print), v. 24, p. 123-137, 2009.

51 - CIMA, Anna; GASULL, Armengol; Medrado, João C.. On persistent centers. Bulletin des Sciences Mathématiques (Paris. 1885), v. 133, p. 644-657, 2009.

50 - MIZUKOSHI, M. T.; BARROS, L. C.; BASSANEZI, R. C.. Stability of Fuzzy Dynamic Systems. Fuzzy Sets and Systems, v. 17, p. 69-83, 2009.

49 - Buzzi, Claudio A.; LLIBRE, Jaume; MEDRADO, J. C. R.. Phase Portraits of Reversible Linear Differential Systems with Cubic Homogeneous Polynomial Nonlinearities Having a Non-degenerate Center at the Origin. Qualitative Theory of Dynamical Systems, v. 7, p. 369-403, 2009.

48 - Buzzi, Claudio A.; TONON, D.J.. Quadratic Planar Systems with Two Parallel Invariant Straight Lines. Qualitative Theory of Dynamical Systems, v. 7, p. 295-316, 2009.

47 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Tori embedded in SÂ with dense asymptotic lines. Anais da Academia Brasileira de Ciências (Impresso), v. 81, p. 13-19, 2009.

46 - SOTOMAYOR, J.; GARCIA, Ronaldo Alves. TORI EMBEDDED IN R3 WITH DENSE PRINCIPAL LINES. Bulletin des Sciences Mathématiques (Paris. 1885), v. 133, p. 348-354, 2009.

2008

45 - GARCIA, Ronaldo Alves; LANGEVIN, R. ; George. Holonomy of a foliation by principal curvature lines. Bulletin Brazilian Mathematical Society (Online), v. 39, p. 341-354, 2008.

44 - MEDRADO, J. C. R.; LLIBRE, Jaume; SILVA, Paulo Ricardo da. Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor. Boletim da Sociedade Paranaense de Matemática, v. 26, p. 41-52, 2008.

43 - SOTOMAYOR, Jorge; GARCIA, Ronaldo Alves. Lines of Curvature on Surfaces, Historical Comments and Recent Developments. São Paulo Journal of Mathematical Sciences, v. 2, p. 99-143, 2008.

2007

42 - MEDRADO, J. C. R.; LLIBRE, Jaume; BUZZI, C. A.. Periodic orbits for a class of reversible quadratic vector fields on R3. Journal of Mathematical Analysis and Applications (Print), v. 335, p. 1335-1346, 2007.

41 - MIZUKOSHI, M. T.; BARROS, L. C.; Chalco -Cano, Y.; ROMAN-FLORES, H.; BASSANEZI, R. C.. Fuzzy differential equations and the extension principle. Fuzzy Sets and Systems, v. 177, p. 3627-3635, 2007.

40 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Codimension two umbilic points on surfaces immersed in $R^3$. Discrete and Continuous Dynamical Systems, Estados Unidos, v. 17, p. 293-308, 2007.

39 - GARCIA, Ronaldo Alves. A trefoil has two or more vertices. Results in Mathematics / Resultate der Mathematik, v. 50, p. 43-51, 2007.

38 - MEDRADO, J. C. R.; LLIBRE, Jaume; ARTES, Joan Carles. Nonexistence of limit cycles for a class of structurally stable quadratic vector fields. Discrete and Continuous Dynamical Systems, v. 17, p. 259-270, 2007.

37 - MEDRADO, J. C. R.; LLIBRE, Jaume. On the invariant hyperplanes for. Journal of Physics. A, Mathematical and Theoretical (Print), v. 40, p. 8385-8391, 2007.

2006

36 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge; LLIBRE, Jaume. Lines of principal curvature on canal surfaces in R . Anais da Academia Brasileira de Ciências (Impresso), Rio de Janeiro, v. 78, n.2, p. 405-415, 2006.

35 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Lines of Principal Curvature near Singular End Points of Surfaces in R3. Advanced Studies in Pure Mathematics (Amsterdam), Univ. Calif., Davies, v. 43, p. 437-462, 2006.

2005

34 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. On the Patterns of Principal Curvature Lines around a Curve of Umbilic Points. Anais da Academia Brasileira de Ciências (Impresso), Rio de Janeiro, v. 77, n.01, p. 13-24, 2005.

33 - MEDRADO, J. C. R.; LLIBRE, Jaume. Darboux Integrability and Reversible Quadratic Vector Fields. The Rocky Mountain Journal of Mathematics, USA, v. 35, n.6, p. 1999-2057, 2005.

2004

32 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Lines of Mean Curvature on Surfaces Immersed in R3. Qualitative Theory of Dynamical Systems, Lleida, v. 05, n.02, p. 263-309, 2004.

31 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge; GUTIERREZ, Carlos. Bifurcations of Umbilic Points and Related Principal Cycles. Journal of Dynamics and Differential Equations, New York, v. 16, n.2, p. 321-346, 2004.

30 - GARCIA, Ronaldo Alves; TEIXEIRA, Marco Antonio. Vector fields on manifolds with boundary and reversibility - An expository account. Qualitative Theory of Dynamical Systems, Lleida, v. 05, n.02, p. 185-200, 2004.

29 - GARCIA, Ronaldo Alves. On the 60th birthday of Jorge Sotomayor. Qualitative Theory of Dynamical Systems, Lleida -Espanha, v. 05, n.02, p. 01-03, 2004.

2003

28 - GARCIA, Ronaldo Alves; PINA, Romildo da Silva. Ricci Tensors with Rotational Symmetry on Rn. Resenhas do Instituto de Matematica e Estatistica da Universidade de Sao Paulo (Cessou em 2005. Cont. ISSN 1982-6907 São Paulo Journal of Mathematical, Sao Paulo, v. 06, n.01, p. 74-84, 2003.

27 - GARCIA, Ronaldo Alves; SOTOMAYOR, J.. Harmonic mean curvature lines on surfaces immersed in R3. Boletim da Sociedade Brasileira de Matemática, Brasil, v. 34, n.2, p. 303-331, 2003.

26 - GARCIA, Ronaldo Alves; SOTOMAYOR, J.. Structural stability of piecewise vector fields on the plane. Journal of Differential Equations, Estados Unidos, v. 192, n.02, p. 553-565, 2003.

25 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. A Metric Property of Umbilic Points. Anais da Academia Brasileira de Ciências (Impresso), Brasil, v. 75, n.4, p. 405-413, 2003.

24 - MIZUKOSHI, M. T.; BARROS, L. C.; BASSANEZI, R. C.. Estabilidade Local de Sistemas Dinâmicos Fuzzy. Biomatemática (UNICAMP), Campinas-SP, v. XIII, p. 91-95, 2003.

2002

23 - GARCIA, Ronaldo Alves; BRINGAS, F. S.. Closed principal lines of surfaces immersed in the euclidean 4-space. Journal of Dynamical and Control Systems, v. 8, n.2, p. 163-176, 2002.

22 - GARCIA, Ronaldo Alves; MOTA, J. C.; SOUZA, A. J.; TEIXEIRA, P. W.. Oxidation fronts in a simplified model for two-phase flow in porus media. Matemática Contemporânea, Rio de Janeiro, v. 22, n.1, p. 67-82, 2002.

21 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Geometric mean curvature lines on surfaces immersed in ${ f R}^3$. Annales de la Faculté des Sciences de Toulouse, França, v. 11, n.03, p. 377-401, 2002.

20 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Umbilic and tangential singularities on configurations of principal curvature lines. Anais da Academia Brasileira de Ciências (Impresso), Rio de Janeiro, v. 74, n.01, p. 01-17, 2002.

19 - MIZUKOSHI, M. T.; BARROS, L. C.; ROJAS-MEDAR, M.; BASSANEZI, R. C.; Chalco -Cano, Y.. Dinâmica de Populações via inclusões diferenciais. Biomatemática (UNICAMP), Campinas-SP, v. XII, p. 91-103, 2002.

2001

18 - GARCIA, Ronaldo Alves. Principal curvature lines near Darbouxian partially umbilic points of hypersurfaces immersed in R4. Journal of Computational and Applied Mathematics, Rio de Janeiro, v. 20, n.1-2, p. 121-148, 2001.

17 - GARCIA, Ronaldo Alves; SOTOMAYOR, J.. Structuraly Stable Configurations of Lines of Mean Curvature and Umbilc Points on Surfaces Immersed in R3 . Publicacions Matemàtiques, Barcelona, v. 45, n.02, p. 431-466, 2001.

16 - MEDRADO, J. C. R.; TEIXEIRA, Marco Antonio. Codimension-two singularities of reversible vector fields in 3D. Qualitative Theory of Dynamical Systems, Spain, v. 2, n.2, p. 399-428, 2001.

2000

15 - GARCIA, Ronaldo Alves; GUTIERREZ, Carlos; SOTOMAYOR, Jorge. Lines of Principal Curvature around Umbilics and Whitney Umbrellas. Tohoku Mathematical Journal, Sendai, Japão, v. 52, n.02, p. 163-172, 2000.

14 - GARCIA, Ronaldo Alves; GUTIERREZ, Carlos. Ovaloids of R3 and their umbilics: A differential equation approach,. Journal of Differential Equations, Estados Unidos, v. 168, n.01, p. 200-211, 2000.

13 - GARCIA, Ronaldo Alves; MOCHIDA, D. K. H.; FUSTER, M. E. C. R.; RUAS, Maria Aparecida Soares. Inflection Points and Topology of Surfaces in 4-Space. Transactions of the American Mathematical Society, A. M. S. ( New York), v. 352, n.07, p. 3029-3043, 2000.

12 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Lines of Axial Curvature on Surfaces Immersed in R4. Differential Geometry and Its Applications, Holanda, v. 12, p. 253-269, 2000.

1999

11 - GARCIA, Ronaldo Alves; GUTIERREZ, C.; SOTOMAYOR, J.. Structural Stability of Asymptotic Lines on Surfaces Immersed into R 3. Bulletin des Sciences Mathématiques, Paris, v. 123, p. 599-622, 1999.

10 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge; SIERSMA, D.. Curvature of Conflict Surfaces in Euclidean 3-Space. Banach Center Publications, Warszawa, v. 50, p. 277-285, 1999.

1998

9 - MEDRADO, J. C. R.; TEIXEIRA, Marco Antonio. Symmetric singularities of reversible vector fields in dimension three. Physica. D, Nonlinear Phenomena (Print), North-Holland, v. 112, n.1-2, p. 122-131, 1998.

1997

8 - GARCIA, Ronaldo Alves; SOTOMAYOR, J.. Structurall Stability of Parabolic Points and Periodic Asymptotic Lines. Matemática Contemporânea, Rio de Janeiro, v. 12, p. 83-107, 1997

1996

7 - GARCIA, Ronaldo Alves;  SOTOMAYOR, J.. Lines of Curvatue on Algebraic Surfaces. Bulletin des Sciences Mathématiques, PARIS, v. 120, n.4, p. 367-395, 1996.

6 - GARCIA, Ronaldo Alves; GUILLAMON, A.; GASULL, A.. Geometrical Conditions for Global Stability of Vector Fields on The Plane. Mathematical Proceedings of the Cambridge Philosophical Society, LONDRES, v. 120, n.2, p. 499-518, 1996.

1993

5 - GARCIA, Ronaldo Alves. Hyperbolic Principal Cycles of Hypersurfaces of R4. Annals of Global Analysis and Geometry, BERLIN, v. 11, n.1, p. 185-196, 1993.

4 - GARCIA, Ronaldo Alves; SOTOMAYOR, J.. Lines of Curvature near Singular Points of Implicit Surfaces. Bulletin des Sciences Mathématiques, PARIS, v. 117, n.1, p. 313-331, 1993.

3 - GARCIA, Ronaldo Alves; SOTOMAYOR, Jorge. Lines of Curvature Near Hyperbolic Principal Cycles. PITMAN RESEACHES NOTES, LONDRES, v. 285, n.1, p. 255-262, 1993.

1992

2 - GARCIA, Ronaldo Alves;  SOTOMAYOR, J.. Lines of Curvature Near Principal Cycles. Annals of Global Analysis and Geometry, BERLIN, v. 10, n.3, p. 275-289, 1992.

1 - GARCIA, Ronaldo Alves. Lignes de Courbure d'Hypersurfaces Immergeés dans l'Espace R4. Anais da Academia Brasileira de Ciências, RIO DE JANEIRO, v. 64, p. 01-06, 1992.