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TORUS DOUBLING IN 4 WEAKLY COUPLED OSCILLATORS
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UNSPECIFIED (1995) TORUS DOUBLING IN 4 WEAKLY COUPLED OSCILLATORS. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 5 (1). pp. 231-241. ISSN 0218-1274
Full text not available from this repository.Abstract
We present evidence of torus doubling in systems of four weal;ly coupled oscillators. We assume that the oscillators are dissipative, so the system has an attracting invariant four-torus giving a Poincare map on a section which is a three-torus. Using averaging, the asymptotic dynamics can be approximated by a how on a three-torus. Thus it is possible to have period doubling in the averaged flow, corresponding to torus doubling in the unaveraged system; this is not possible for three or fewer oscillators in the weakly coupled limit. We observe torus-doubling bifurcations for a three-torus map and for a system of four coupled electronic oscillators.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science |
| Journal or Publication Title: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD |
| ISSN: | 0218-1274 |
| Date: | February 1995 |
| Volume: | 5 |
| Number: | 1 |
| Number of Pages: | 11 |
| Page Range: | pp. 231-241 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/19596 |
Data sourced from Thomson Reuters' Web of Knowledge
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