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ROTATION SETS AND PHASE-LOCKING IN AN ELECTRONIC 3 OSCILLATOR SYSTEM
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UNSPECIFIED (1993) ROTATION SETS AND PHASE-LOCKING IN AN ELECTRONIC 3 OSCILLATOR SYSTEM. PHYSICA D, 66 (3-4). pp. 392-411. ISSN 0167-2789.
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Abstract
The parameter space of an electronic three oscillator system is investigated and various codimension one and two bifurcations predicted by Baesens, Guckenheimer, Kim and MacKay are identified. Sampled time-series from the experimental systems are recorded and analysed for partial mode-locking or resonance (one or two independent rational relations between the average rates of change of the angles describing the system) using knowledge of where the invariant torus lies and the torus unfolding scheme of Ashwin and Swift. Examples of toroidal and annular chaos are investigated by finding bounds on the size and shape of the rotation set.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | PHYSICA D | ||||
| Publisher: | ELSEVIER SCIENCE BV | ||||
| ISSN: | 0167-2789 | ||||
| Official Date: | 15 July 1993 | ||||
| Dates: |
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| Volume: | 66 | ||||
| Number: | 3-4 | ||||
| Number of Pages: | 20 | ||||
| Page Range: | pp. 392-411 | ||||
| Publication Status: | Published |
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