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Resonance regions for families of torus maps
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Kim, Seunghwan, MacKay, R. S. and Guckenheimer, J.. (1989) Resonance regions for families of torus maps. NONLINEARITY, 2 (3). pp. 391-404. ISSN 0951-7715
Full text not available from this repository.Abstract
A resonance region for a family of torus maps f: T-n -> T-n is the set of parameter values for which there exists a periodic orbit with a given rotation vector. For generic periodic families, resonance regions are projections of multiply connected manifolds. In many cases these are tori. Numerical studies of the case n = 2 illustrate the complicated internal bifurcation structure of the resonance regions. Codimension-two bifurcations and transversal homoclinic orbits are shown to exist. We discuss the significance of our findings for the transition to chaos from three-frequency quasiperiodic
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | NONLINEARITY |
| Publisher: | IOP PUBLISHING LTD |
| ISSN: | 0951-7715 |
| Date: | August 1989 |
| Volume: | 2 |
| Number: | 3 |
| Number of Pages: | 14 |
| Page Range: | pp. 391-404 |
| Identification Number: | 10.1088/0951-7715/2/3/001 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/24055 |
Data sourced from Thomson Reuters' Web of Knowledge
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