118 citations · 211 across the 8 of their papers we have counts for
9 papers
A survey on the topological entropy of cubic polynomials
Noah Cockram, Ana Rodrigues
In this paper we discuss two different existing algorithms for computing topological entropy and we perform one of them in order to compute the isentropes for cubic polynomials.
Expansion properties of Double Standard Maps
Michael Benedicks, Michal Misiurewicz, Ana Rodrigues
For the family of Double Standard Maps we investigate the structure of the space of parameters when and when . I…
Existence of non-trivial embeddings of Interval Exchange Transformations into Piecewise Isometries
Pedro Peres, Ana Rodrigues
We prove that almost every interval exchange transformation, with an associated translation surface of genus , can be non-trivially and isometrically embedded in a family…
Fair Measures for Countable-to-one Maps
Ana Rodrigues, Samuel Roth, Zuzana Roth
In this paper we generalize the recently introduced concept of fair measure (M. Misiurewicz and A. Rodrigues, Counting preimages. Ergod. Th. & Dynam. Sys. 38 (2018), no. 5, 1837 --…
On the dynamics of Translated Cone Exchange Transformations
Pedro Peres, Ana Rodrigues
In this paper we investigate translated cone exchange transformations, a new family of piecewise isometries and renormalize its first return map to a subset of its partition. As a…
Embeddings of interval exchange transformations into planar piecewise isometries
Peter Ashwin, Arek Goetz, Pedro Peres +1
Although piecewise isometries (PWIs) are higher dimensional generalizations of one dimensional interval exchange transformations (IETs), their generic dynamical properties seem to…
Chaos in generically coupled phase oscillator networks with nonpairwise interactions
Christian Bick, Peter Ashwin, Ana Rodrigues
The Kuramoto-Sakaguchi system of coupled phase oscillators, where interaction between oscillators is determined by a single harmonic of phase differences of pairs of oscillators, h…
Hopf normal form with symmetry and reduction to systems of nonlinearly coupled phase oscillators
Peter Ashwin, Ana Rodrigues
Coupled oscillator models where oscillators are identical and symmetrically coupled to all others with full permutation symmetry are found in a variety of applications. M…
The Combinatorics of Avalanche Dynamics
Manfred Denker, Ana Rodrigues
We give a simple and elementary proof of the identity …