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Period doubling for bimodal maps: a horseshoe for a renormalisation operator
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MacKay, Robert S. and van Zeijts, J. B. J. (1988) Period doubling for bimodal maps: a horseshoe for a renormalisation operator. NONLINEARITY, 1 (1). pp. 253-277. ISSN 0951-7715.
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Abstract
We find universal scaling behaviour for the period-doubling tree in two-parameter families of bimodal maps of the interval. A renormalisation group explanation is given in terms of a horseshoe with a Cantor set of two-dimensional unstable manifolds instead of the usual fixed point with one unstable direction.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | NONLINEARITY | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0951-7715 | ||||
Official Date: | February 1988 | ||||
Dates: |
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Volume: | 1 | ||||
Number: | 1 | ||||
Number of Pages: | 25 | ||||
Page Range: | pp. 253-277 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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