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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
Journal or Publication Title: PHYSICA D
Publisher: ELSEVIER SCIENCE BV
ISSN: 0167-2789
Date: September 1991
Volume: 52
Number: 2-3
Number of Pages: 13
Page Range: pp. 254-266
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/22437

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