| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10156629 | Physica D: Nonlinear Phenomena | 2018 | 19 Pages |
Abstract
We use bifurcation continuation to compute resonance tongues in the plane of the forcing frequency vs. the forcing amplitude for different but fixed values of the damping rate. Our analysis shows that identified here isolated resonances explain the intriguing “intermingled tongues” that were observed for weak damping and misinterpreted as (synchronisation) Arnold tongues in Paar and Pavin (1998). What is more, isolated resonances link “intermingled tongues” to a seemingly unrelated phenomenon of “bifurcation superstructure” described for moderate damping in Parlitz and Lauterborn (1985).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arianna Marchionne, Peter Ditlevsen, Sebastian Wieczorek,