2 papers
nlin.CD2024
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…
math.DS2024
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…