Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256383 | Physica D: Nonlinear Phenomena | 2015 | 10 Pages |
Abstract
We introduce a remarkably simple algorithm to analyze the behavior of volume preserving maps and to obtain quantitative properties of the secondary tori. We then implement the algorithm and, after running it, present assertions regarding the distribution of the escape times of the unbounded orbits, the abundance of secondary tori, the size of the resonant regions, and the robustness of the tori under the addition of a mean flux.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Adam M. Fox, Rafael de la Llave,