117 citations · 1.5k across the 78 of their papers we have counts for
79 papers
All field strengths are possible locally in Boozer coordinates
Taylor J. Klotz, Nathan Duignan, Joshua W. Burby +1
The magnetic field strength is a central design object in the theory of magnetic confinement of plasma. Desirable confinement properties such as quasi-symmetry and omnigenity are c…
Recurrence and Stickiness in the Noisy Harper Map
J. R. Homan, J. D. Meiss
When three types of noise are introduced to the area-preserving Harper map, the Poincaré recurrence statistic (PRS) exhibits an extended tail, corresponding to an increased probabi…
Computing Lyapunov Exponents using Weighted Birkhoff Averages
E. Sander, J. D. Meiss
The Lyapunov exponents of a dynamical system measure the average rate of exponential stretching along an orbit. Positive exponents are often taken as a defining characteristic of c…
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…
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…
Symmetry Reduction and Rotation Numbers for Poncelet maps
H. E. Lomeli, J. D. Meiss
Poncelet maps are circle maps constructed geometrically for a pair of nested ellipses; they are related to the classic billiard map on an elliptical domain when the orbit has an el…