54 citations · 65 across the 3 of their papers we have counts for
3 papers
math.DS2024★ 2 cited
Proportions of Incommensurate, Resonant, and Chaotic Orbits for Torus Maps
E. Sander, J. D. Meiss
This paper focuses on distinguishing classes of dynamical behavior for one- and two-dimensional torus maps, in particular between orbits that are incommensurate, resonant, periodic…
nlin.CD2023★ 9 cited
Resonance and Weak Chaos in Quasiperiodically-Forced Circle Maps
E. Sander, J. D. Meiss
In this paper, we focus on a numerical technique, the weighted Birkhoff average (WBA) to distinguish between four categories of dynamics for quasiperiodically-forced circle maps. R…
nlin.CD2019★ 54 cited
Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps
E. Sander, J. D. Meiss
Rotational invariant circles of area-preserving maps are an important and well-studied example of KAM tori. John Greene conjectured that the locally most robust rotational circles…