Begoña Alarcón Cotillas Departamento de Matemática Aplicada Instituto de Matemática e Estatística Universidade Federal Fluminense Rua Professor Marcos Waldemar de Freitas Reis, s/n, sala 509, Bloco H – Campus do Gragoatá – São Domingos – Niterói – RJ – CEP: 24210-201 e-mail: balarcon@id.uff.br Telegram: @balarconUFF web site: http://www.professores.uff.br/balarcon
Feb 10, 2014 | Acreditación de Contratado Doctor: Teaching academic degree by ANECA (National Agency for Quality Assessment and Accreditation), Spain. |
Sep 2010- Aug 2011 | Post-Doc in CMUP, Department of Mathematics, University of Porto, Portugal. |
Oct 21, 2009 | Ayudante Doctor: Teaching academic degree by ANECA (National Agency for Quality Assessment and Accreditation), Spain. |
Nov 14, 2008 | PhD in Mathematics, Departament of Applied Mathematics, Universtity of Valencia, Spain. Title of the PhD thesis: Planar maps with a globally attracting fixed point. Advisor: José Martínez Alfaro (University of Valencia, Spain) and Carlos Gutierrez (ICMC- University of São Paulo, Brazil). |
Nov 2005 - Aug 2006 | Doctoral Research Fellow, ICMC-University of São Paulo, Brazil |
Oct 2005 | Certiticate of Advance Studies (DEA) in Mathematics, Departament of Applied Mathematics, Universtity of Valencia, Spain. |
Oct 2003 - Jul 2004 | Doctoral Research Fellow, ICMC-University of São Paulo, Brazil |
1995-2001 | Graduate in Mathematics at the University of Valencia, Spain |
Dez 2013- present | Assistant Professor at Instituto de Matemática e Estatística, Universidade Federal Fluminense, Brazil. |
Sep 2011- Dez 2013 | Lectured Professor, Department of Mathematics, University of Oviedo, Spain. |
Oct 2009 - Aug 2010 | Profesor Titular de Universidad Interino, Department of Mathematics- Applied Mathematics, University of Oviedo, Spain. |
Feb 2009- Sep 2009 | Profesor. Titular de Universidad Interino, Department of Mathematics- Analysis, University of Oviedo, Spain. |
Nov 2006 - Sep 2007 | Profesor Asociado, Departament of Mathematics -Geometry and Topology, University of Jaime I of Castellon, Spain. |
Oct 2004 -Sep 2005 | Profesor Asociado, Departament of Geometry and Topology, University of Valencia, Spain. |
Nov 2002 -Sep 2005 | Profesor Asociado, Departament of Geometry and Topology, University of Valencia, Spain. |
Research: My main interests are Topological Dynamics on surfaces and Bifurcation Theory of vector fields, including global dynamics and classification of injective maps. I am also interested on dynamical systems with symmetry and applications to Differential Equations. Recently, I am curious about Numerical Analysis and applications to Engineering.
Pubications:
[AR] B. Alarcón and R. Rabanal. Hopf bifurcation at infinity and dissipative vector fields of the plane. Proceedings of the American Mathematical Society, 145, 3033-3046, 2017. DOI 10.1090/proc/13462.
[ACL4] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. Global Saddles for Planar Maps. Journal of Dynamics and Differential Equations, 2016. DOI 10.1007/s10884-016-9561-3.
[ACL4] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. Discrete Symmetric Planar Dynamics. Dynamics, Games and Science CIM Series in Mathematical Sciences Vol. I. Chap 2, 2015.
[A] B. Alarcón. Rotation numbers for planar attractors of equivariant homeomorphisms. Topological Methods in Nonlinear Analysis, 42 n.2, 327-343, 2013
[ACL3] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. Global Dynamics for Symmetric Planar Maps. Discrete & Continuous Dyn Syst- A, 37, 2241-2251, 2013.
[ACL2] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. A local but not global attractor for a Zn-symmetric map. Journal of Singularities, 6, 1-14, 2012.
[ACL1] B. Alarcón, S.B.S.D. Castro and I. S. Labouriau. The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps. Indagationes Mathematicae, 23, 603–608, 2012.
[AGG2] B. Alarcón, V. Guíñez, C. Gutierrez. Planar embeddings with a globally attracting fixed point. Nonlinear Analysis, 69, 140-150, 2008.
[AGM] B. Alarcón, C. Gutierrez, J. Martínez-Alfaro. Planar maps whose second iterate has a unique fixed point. Journal of Difference Equations and Applications, 14, 421-428, 2008.
[AGG1] B. Alarcón, V. Guíñez, C. Gutierrez. Hopf bifurcation at infinity for planar vector fields. Discrete and Continuous Dynamical Systems. Series A, 17, 247-258, 2007.
International:
– Surfaces in Luminy 2016, Luminy (France).
– Surfing the complexity – A journey through Dynamical Systems 2015, Oviedo (Spain).
– 13th International Workshop on Real and Complex Singularities 2014, São Carlos (Brazil).
– Surfaces in São Paulo 2014, São Sebastião- SP (Brasil).
– 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2014, Madrid (Spain).
– A week on Dynamical Systems at IM-UFRJ 2013, Rio Janeiro (Brazil).
– 18th International Conference on Difference Equations and Applications 2012, Barcelona (Spain).
– Conference in honour of Xavier Gómez-Mont on the occasion of his 60th Birthday 2011, Guanajuato (Mexico).
– Future Directions in Difference Equations 2011, Vigo (Spain).
– Workshop on Singularities in Geometry and Applications 2011, Poznan (Poland).
– XXII Summer Conference on Topology and its Applications 2007, Castellón (Spain).
– ICM 2006 – International Congress of Mathematicians 2006, Madrid (Spain).
– IX International Workshop on Real and Complex Singularities 2006, São Carlos (Brazil).
Local:
– XXV Congreso de Ecuaciones Diferenciales y Aplicaciones/XV Congreso de Matemática Aplicada (CEDYA + CMA) 2017, Cartagena (Spain).
– Congreso de la RSME 2015, Granada (Spain).
– Workshop de Topologia & Dinâmica 2013, Niterói (Brasil).
– Ddays 2010, Calatayud (Spain).
– Seminar on Topological Dynamics 2010, Logroño (Spain).
– I Jornadas de Divulgación Científica 2007, Castellón (Spain).
– XV Encontro Brasileiro de Topologia 2006, Rio Claro (Brazil).
– Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA 2005, Valencia (Spain).
Undergraduate Thesis:
– 2014: Silvia del Valle González. Análisis del crecimiento y colonización del Phythopthora cinnamomi en diferentes medios de cultivo. Trabajo Fin de Carrera (Ingeniería Técnica Florestal). Universidad de Oviedo, Asturias (Spain).
Undergraduate Projects:
– 2015: Luiz Eduardo Souza Xavier. Matemática do dia-a-dia: Matemática Financiera. Projeto de Iniciação Científica. Aluno de Ciência da Computação da UFRJ.
– 2016: Luiz Eduardo Souza Xavier. Simulação de Equações Diferenciais e Aplicações na Biologia. Projeto de Iniciação Científica. Aluno de Ciência da Computação da UFRJ. Bolsista FAPERJ.
Feb 2016 | Workshop de Topologia & Dinâmica 2016. |
Dez 2015 | Special Session Topology & Dynamics of the First Joint Meeting SBM - SBMAC - RSME. |
Jun 2015 | International Congress Surfing the complexity – A journey through Dynamical Systems. |
Feb 2015 | Workshop de Topologia & Dinâmica 2015. |
Mar 2014-Dez 2014 | Dynamical Systems Seminar at Universidade Federal Fluminense. |
Sept 2012 | International Congress Dynamical Systems: 100 years after Poincaré. Sep 3-7, 2012. |
Nov 2010 - Aug 2011 | Dynamical Systems Seminar at Cento de Matemática da Universidade do Porto. |
Mar 2009 | International Workshop on Singularities in Generic Geometry and Applications. |
Jan 2005 | Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA MAT.ES 2005. |
Jan 2018 | CMUP, Departament of Mathematics, University of Porto, Portugal. To work with: Prof. Isabel Labouriau and Sofia Castro. |
Jun 2017 | CMUP, Departament of Mathematics, University of Porto, Portugal. To work with: Prof. Isabel Labouriau and Sofia Castro. |
Jan 2015 | Universidad de Granada, Department of Applied Mathematics, Spain. To work with: Pedro Torres. |
Jun 2014 | Unversidad de Chile, Department of Mathematics, Chile. To work with: Álvaro Castañeda. |
Nov 2013 | CMUP, Departament of Mathematics, University of Porto, Portugal. To work with: Prof. Isabel Labouriau and Sofia Castro. |
Jan-Mar 2013 | IMPA, Instituto de Matemática Pura e Aplicada, Brazil. To work with: Prof. Enrique R. Pujals |
May 2012 | London Imperial College, Departament of Mathematics, United Kingdom. To work with: Prof. Jeroen Lamb. |
Mar-Apr 2012 | CMUP, Departament of Mathematics, University of Porto, Portugal. To work with: Prof. Isabel Labouriau and Sofia Castro. |
Aug 2011 | UNAM, Departament of Mathematics, Cuernavaca, Mexico. To work with: Prof. Fuensanta Aroca. |
Jul 2011 | Universidade Nova de Lisboa, Departament of Applied Mathematics, Portugal. To work with: Prof. Rogerio Matins. |
Jan 2011 | Universidad de Granada, Departament of Applied Mathematics, Spain. To work with: Prof. Rafael Ortega. |
Jul 2010 | CMUP, Departament of Mathematics, University of Porto, Portugal. To work with: Prof. Isabel Labouriau and Sofia Castro. |
Jun 2010 | Universidad de Granada, Departament of Applied Mathematics, Spain. To work with: Prof. Rafael Ortega. |
Jan 2009 | CRM, Barcelona, Spain. Posdoctoral Fellowship for Research Program on Mathematical Biology. |
Feb 2008 | Universidad Complutense de Madrid, Spain To work with: Prof. Francisco Romero Ruiz del Portal. |
PhD Thesis:
– Tiane Marcarini Pinto. Generation of spines in porgupine-like horseshoes. June 2014. Pontificia Universidade Católica do Rio de Janeiro (Brazil).
Undergraduate Thesis:
– María Gavieiro Álvarez. Diagramas de manejo de la densidad para masas de Betula Celtibérica en el norte de España. November 2013. Universidad de Oviedo, Asturias (Spain).
– Pablo Gutiérrez Barrientos. Dicotomias y Funciones de Melnikov en el estudio de la existencia y persistencia de órbitas (homo) heteroclínicas. June 2009. Universidad de Oviedo, Asturias (Spain).
Jun 2014 | Conjetura Discreta de Markus-Yamabe con simetría. Universidad de Santiago de Chile. |
May-Jun 2009 | Homeomorfismos libres y dinámica discreta global en el plano. Aplicaciones a la Conjetura Discreta de Markus-Yamabe. Universidad de Oviedo, Spain. |
Mar-Apr2006 | Dinâmica Topológica e Teoria de Índice. ICMC-Universidade de São Paulo, São Carlos, Brasil. |
Jun 20, 2014 | Global Dynamics for Symmetric Planar Maps. Instituto de Matemáticas, PUC Valparaíso, Chile. |
Jun 26, 2014 | Número de rotación para homeomorfismos del plano con un punto fijo. Universidad de Santiago de Chile. |
Apr 25, 2014 | Aplicações Zn-equivariantes com um atrator local que não é atrator global. Dynamical Systems Group of UFF, Niterói- RJ, Brasil. |
Mar 28, 2014 | Existência de uma sela global. Dynamical Systems Group of UFF, Niterói- RJ, Brasil. |
Mar 14, 2014 | Dinâmica global no plano. Dynamical Systems Group of UFF, Niterói- RJ, Brasil. |
Jun 14, 2012 | Dinámica global con simetría . Department of Geometry and Topology, Universidad de Santiago de Compostela, Spain. |
May 10, 2012 | Global Dynamics for Symmetric Planar Maps . Dynamical Systems Group of Imperial College London, United Kingdom. |
Apr 13, 2012 | Rotation numbers for planar attractors of equivariant homeomorphisms . Dynamical Systems Group of CMUP, Porto, Portugal. |
Jul 6, 2011 | Global Dynamics for Symmetric Systems. Differential Equations Group of New University of Lisbon, Lisbon, Portugal. |
Mar 18, 2011 | Global Dynamics for Symmetric Planar Maps. Dynamical Systems Group of CMUP, Porto, Portugal. |
Feb 2, 2011 | Equivariant Planar Maps. Differential Equation Group of University of Granada, Spain. |
Nov 27, 2009 | The Discrete Markus-Yamabe Problem and Applications. Dynamical Systems Groups of CMUP, Porto, Portugal. |
Feb 16, 2009 | From Topological Dynamics to Difference and Differential Equations. Dynamical Systems Group of Authonomous University of Barcelona, Spain. |
Nov 17, 2007 | Planar Embeddings with a globally attracting fixed point. Differential Equation Group of University of Granada, Spain. |
Apr 30, 2004 | Hopf Bifurcation at Infinity. Dynamical Systems Group of University of Valencia, Spain. |