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Period doubling for bimodal maps: a horseshoe for a renormalisation operator
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MacKay, R. 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
Full text not available from this repository.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 |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | NONLINEARITY |
| Publisher: | IOP PUBLISHING LTD |
| ISSN: | 0951-7715 |
| Date: | February 1988 |
| Volume: | 1 |
| Number: | 1 |
| Number of Pages: | 25 |
| Page Range: | pp. 253-277 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/24615 |
Data sourced from Thomson Reuters' Web of Knowledge
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