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Resonance regions for families of torus maps
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Kim, Seunghwan, MacKay, Robert S. and Guckenheimer, J. (1989) Resonance regions for families of torus maps. NONLINEARITY, 2 (3). pp. 391-404. doi:10.1088/0951-7715/2/3/001
Research output not available from this repository, contact author.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 | ||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | NONLINEARITY | ||||
| Publisher: | IOP PUBLISHING LTD | ||||
| ISSN: | 0951-7715 | ||||
| Official Date: | August 1989 | ||||
| Dates: |
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| Volume: | 2 | ||||
| Number: | 3 | ||||
| Number of Pages: | 14 | ||||
| Page Range: | pp. 391-404 | ||||
| DOI: | 10.1088/0951-7715/2/3/001 | ||||
| Publication Status: | Published |
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