TORUS DOUBLING IN 4 WEAKLY COUPLED OSCILLATORS
UNSPECIFIED. (1995) TORUS DOUBLING IN 4 WEAKLY COUPLED OSCILLATORS. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 5 (1). pp. 231-241. ISSN 0218-1274Full text not available from this repository.
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
|Journal or Publication Title:||INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS|
|Publisher:||WORLD SCIENTIFIC PUBL CO PTE LTD|
|Number of Pages:||11|
|Page Range:||pp. 231-241|
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