Ana Rodrigues


VR Forskarassistent

Rum 3629
Tel: 08 790 7417
email:ana.rodrigues[at]math.kth.se




Mailing address
Department of Mathematics, KTH, 100 44 Stockholm

Teaching:

SF1633, Differentialekvationer I, 2012.


Research interests:

Low-dimensional dynamical systems and ergodic theory; mechanics of particles and systems; bifurcation theory.

Publications:

[1] Real 3x+1 (with M. Misiurewicz). Proc. of the Amer. Mathem. Soc. 133 (2005), 1109--1118.

[2] Secondary bifurcations in systems with all-to-all coupling. II. (with A.P.S. Dias), Dyn. Syst. 21 (2006), 439--463

[3] Double standard maps (with M. Misiurewicz). Commun. in Mathem. Phys. 273 (2007), 37--65.

[4] On the tip of the tongue (with M. Misiurewicz). J. of Fixed Point Th. and Applic. 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). Disc. and Cont. Dyn. Systems - A 25 (2009), 823--842.

[7] Kneading sequences for double standard maps (with M. Benedicks). Fund. Math. 206 (2009), 61--75.

[8] On the periodic orbits of Hamiltonian systems (with J. Llibre), J. Math. Phys. 51 (2010), 042704 12pp

[9] Non-generic cusps (with M. Misiurewicz). Trans. of the Amer. Mathem. Soc. 363 (2011), 3553--3572.

[10] Fixed points for positive permutation braids (with M. Misiurewicz). Fund. Math. 216 (2012), 129 -- 146

[11] Turning numbers for periodic orbits of disk homeomorphisms (with M. Misiurewicz). Accepted in J. of Fixed Point Th. and Applic.

[12] A note on the periodic orbits of a kind of Duffing equations. (with J. Llibre). Submitted.

[13] The Combinatorics of Avalanche Dynamics (with M. Denker). ArXiv preprint.

[14] On the limit cycles of the Floquet differential equations. (with J. Llibre). Submitted.



PhD Thesis: Bifurcations of Dynamical Systems with Symmetry. pdf
Supervisor: Ana Paula Dias Porto University, November 2007.