
Ana Rodrigues

Mailing address: College of Engineering, Mathematics and Physical Sciences, Harrison Building, University of Exeter, Exeter EX4 4QF, U.K.
Dynamics Days Europe 2015 (Exeter)
I serve in the Maths and CS Inclusivity Strategy Group
ECM3740 Topology and Metric Spaces (Module Leader)
ECM3740 Topology and Metric Spaces (Module Leader)
Analysis (Tutorials)
Lecture notes:
Ali Algamedi. 2017/2018.
Huda Alshammari. 2016/2017. Title: Dynamics of Piecewise isometries.
AnaMaria Pirvu. 2016/2017. Title: The Term Structure of Constant Maturity Swap Yields.
Robert Ashton. 2015/2016. Title: $\alpha$standard maps.
Chloe Batten. 2014/ 2015. Title: Distributions of Annuities with Stochastic Interest Rates.
Title: Certain results on the Möbius disjointness conjecture. Finishing in November 2017.
Papers by Davit:
On Möbius orthogonality for interval maps of zero entropy and orientationpreserving circle homeomorphisms Ark. Mat., (2015) 317–327.
On Möbius orthogonality for subshifts of finite type with positive topological entropy Studia Math., (2017) 277–282).
Hausdorff dimension of a class of threeinterval exchange maps Preprint: https://arxiv.org/abs/1701.01984
On certain aspects of the Möbius randomness principle Preprint
Papers by Pedro:
Embeddings of interval exchange transformations into planar piecewise isometries. Preprint.
Mary Thoubaan (with Peter Ashwin)
Ummu Atiqah Mohd Roslan (with Peter Ahswin)
Yiwei Zhang (visiting fellow). Since September 2015.
[2] Secondary bifurcations in systems with alltoall coupling. II. (with A.P.S. Dias), Dyn. Syst. 21 (2006), 439463
[3] Double standard maps (with M. Misiurewicz). Commun. in Mathem. Phys. 273 (2007), 3765.
[4] On the tip of the tongue (with M. Misiurewicz). J. of Fixed Point Th. and Applic. 3 (2008), 131141.
[5] Hopf bifurcation with $S_n$ symmetry (with A.P.S.Dias). Nonlinearity 22 (2009), 627666.
[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), 823842.
[7] Kneading sequences for double standard maps (with M. Benedicks). Fund. Math. 206 (2009), 6175.
[8] On the periodic orbits of Hamiltonian systems (with J. Llibre), J. Math. Phys. 51 (2010), 042704 12pp
[9] Nongeneric cusps (with M. Misiurewicz). Trans. of the Amer. Mathem. Soc. 363 (2011), 35533572.
[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). Journal of Fixed Point Theory and Applications , 13 (2013), 241258.
[12] A note on the periodic orbits of a kind of Duffing equations. (with J. Llibre). Applied Mathematics and Computation , 219 (2013), no. 15, 83588365.
[13] On the limit cycles of the Floquet differential equations (with J. Llibre). Discrete and Continuous Dynamical Systems Ser. B 19 (2014), 11291136.
[14] Ergodicity of Avalanche Transformations (with M. Denker). Dynamical Systems 29 (2014), 517536.
[15] A nonautonomous kind of Duffing equation (with J. Llibre). Applied Mathematics and Computation , 251 (2015), 669674.
[16] Limit cycles of a class of Floquet differential equations (with J. Llibre). Submitted
[17] $\alpha$standard maps. (with R. Ashton). Submitted
[18] Periodic orbits for real planar polynomial vector Fields of degree n having n invariant straight lines. (with J. Llibre). Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 55, 15 pp.
[19] On the dynamics of a system that bridges the gap between Lorenz and Chen systems. (with J. Llibre). Internat. J. Bifur. Chaos Appl. Sci. Engrg. 25 (2015), no. 9, 1550122
[20] Hopf normal form with SN symmetry and reduction to systems of nonlinearly coupled phase oscillators (with P. Ashwin). Physica D: Nonlinear Phenomena Volume 325, 15 June 2016, Pages 14–24 Preprint version
[21] Chaos in generically coupled phase oscillator networks with nonpairwise interactions (with C. Bick and P. Ashwin). Chaos 26 (2016) 094814 Preprint version
[22] Counting preimages (with M. Misiurewicz). Ergod. Th. & Dynam. Sys. (posted electronically on January 24, 2017 Preprint version
[23] Fair measure and fair entropy for non Markov interval maps (with Y. Zhang). Stochastics and Dynamics. 17 (2017), no. 5, 1750035 Preprint version
[24] Embeddings of interval exchange transformations into planar piecewise isometries (with P. Ashwin, A. Goetz, P. Peres). Accepted for publication in Ergod. Th. & Dynam. Sys. Preprint version 2018
[25] On the dynamics of translated cone exchange transformations (with P. Peres). Preprint version 2018
[26] Fair measures for countabletoone maps (with S. Roth and Z. Roth). Preprint version 2018
[27] Existence of nontrivial embeddings of interval exchange transformations into Piecewise Isometries (with P. Peres). Preprint version 2019