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TRANSITION OF THE PHASE-RESETTING MAP FOR KICKED OSCILLATORS
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UNSPECIFIED (1991) TRANSITION OF THE PHASE-RESETTING MAP FOR KICKED OSCILLATORS. PHYSICA D, 52 (2-3). pp. 254-266. ISSN 0167-2789.
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Abstract
The asymptotic behaviour of the phase-resetting map for generic one-parameter families of kicked planar oscillators, near the transition from degree 1, is studied. There are five cases. In each, the phase-resetting map is found to be already non-monotone before the transition, explaining experimental results like those of Jalife and Antzelevitch and Glass et al. Semi-universal forms are found in each case for the behaviour near the transition. The results extend to a large class of higher-dimensional oscillators.
| 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: | September 1991 | ||||
| Dates: |
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| Volume: | 52 | ||||
| Number: | 2-3 | ||||
| Number of Pages: | 13 | ||||
| Page Range: | pp. 254-266 | ||||
| Publication Status: | Published |
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