Ana Rodrigues

Department of Mathematical Sciences IUPUI 402 N. Blackford Street Indianapolis, IN 46202-3216 USA arodrig@math.iupui.edu I am an FCT supported post doc working in dynamical systems at IUPUI, Indiana University Purdue University at Indianapolis. I am also a member of the Centro de Matematica da Universidade do Porto (CMUP).

My Phd Thesis: Universidade do Porto, November 2007 (under the supervision of Prof. Ana Paula Dias).

Publications:

1. Real 3x+1 (with M. Misiurewicz), Proc. Amer. Math. Soc. 133 (2005), 1109--1118.
2. Secondary Bifurcations in Systems with All-to-All Coupling, Part II (with A. P. S. Dias), Dynamical Systems 21 (2006) 439-463.
3. Double standard maps; (with M. Misiurewicz), Commun. Math. Phys. 273 (2007), 37-65.
4. On the tip of the tongue (with M. Misiurewicz), J. Fixed Point Theory Appl. 3 (2008), 131-141.
5. Hopf bifurcation with S_n symmetry (with A.P.S.Dias), Nonlinearity 22 (2009), 627-666.
6. Generating Functions for Hopf Bifurcation with S_n-Symmetry (with A.P.S.Dias and P.C.Matthews), Discrete and Continuous Dynamical Systems - Series A 25 (2009), 823-842.
7. Non-generic cusps; (with M. Misiurewicz). Transactions of the AMS, to appear.
8. Kneading sequences for double standard maps (with M. Benedicks). Fundam. Mathem. , to appear.
9. On the periodic orbits of Hamiltonian systems (with J. Llibre). CMUP preprint 2009-8
   
   

   Talks at seminars and conferences:

   • Kneading sequences for the double standard maps. The Spring Topology and Dynamics Conference and the Ulam Centennial Conference, University of Florida, Gainesville, Florida, USA. March 8, 2009.
   • Double standard maps. Graduate Students Seminar, Northwestern University, Chicago, USA. March 3, 2009.
   • Kneading sequences for the double standard maps. Dynamical Systems Seminar. Northwestern University, Chicago, USA. March 3, 2009.
   • Tongues and cusps. Dynamical Systems Seminar. Universidade Autonoma de Barcelona, Barcelona, Spain. November 3, 2008.
   • Linguas e Cuspides. Dynamical Systems Seminar. Centro de Matematica da Universidade do Porto, Faculdade de Ciencias da Universidade do Porto, Porto, Portugal. September 10, 2008.
   • Tongues and cusps. Dynamical Systems Seminar. Matematiska institutionen, KTH, Stockholm, Sweden. September 10, 2008.
   • Tongues and cusps. International Conference on Dynamical Systems in honour of Michal Misiurewicz on his 60th birthday. Bedlewo, Poland. June 30 - July 5, 2008.
   • On the tip of the tongue. 7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, University of Texas at Arlington, USA. May 18-21, 2008.
   • Hopf Bifurcations with SN Symmetry I. Dynamical Systems Seminar. IUPUI Department of Mathematical Sciences, Indianapolis, USA. style='mso-spacerun:yes  March 20, 2008.
   • Hopf Bifurcations with SN Symmetry II. Dynamical Systems Seminar. IUPUI Department of Mathematical Sciences, Indianapolis, USA. style='mso-spacerun:yes  March 27, 2008.
   • Hopf Bifurcation with SN Symmetry. International Conference on Difference Equations. IST, Universidade de Lisboa, Portugal. July 27, 2007.
   • Double Standard Maps. Dynamical Systems Seminar. Center for Mathematics of Universidade do Porto, Universidade do Porto, Portugal. March 27, 2007.
   • Hopf Bifurcation with S4 Symmetry. Dynamical Systems Seminar. Center for Mathematics of Universidade do Porto. Universidade do Porto, Portugal. January 26, 2007.
   • Double Standard Maps. Workshop on multifractal dimension and low dimensional systems. Warwick University, England. January 11, 2007.
   • Double Standard Maps. Workshop on Conformal Structures. Gottingen University, Germany. December 7, 2006.
   • Double Standard Maps. AG Dynamische Systeme. Hamburg University, Hamburg, Germany. December 12, 2006.
   • Hopf Bifurcation with S4 Symmetry. Post Graduate Seminar. Gottingen University, Gottingen, Germany. December 14, 2006.
   • Secondary Bifurcations in Systems with All-to-All Coupling. Part II (Poster). Isaac Newton Institute for Mathematical Sciences, University of Cambridge, Cambrbridge, England. September 2005.
   • Secondary Bifurcations in Systems with SN-Symmetry. The Visegrad Conference Dynamical Systems. University of Prague, Prague, Czeck republic. July 17 - 24, 2005.
   • Real 3x+1. Dynamics and Semigroups Seminar. Mathematics Department, Universidade do Porto, Portugal. 2005.
   • Secondary Bifurcations in Systems with SN-Symmetry. Midwest Dynamical Systems Seminar. IUPUI Indianapolis, USA. October 10-12 , 2003.