Journal article
The size of Mandelbrot bulbs
- Abstract:
- We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelbrot set. The bulbs are approximate circles, and are associated with the stability regions in the complex parameter µ-space of period-q orbits of the underlying map z → z 2 − µ. For the (p, q) orbit with winding number p/q, the associated stability bulb is an approximate circle with radius 1q2 sin πpq.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.4MB, Terms of use)
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- Publisher copy:
- 10.1016/j.csfx.2019.100019
Authors
- Publisher:
- Elsevier
- Journal:
- Chaos, Solitons and Fractals More from this journal
- Volume:
- 3
- Issue:
- September 2019
- Article number:
- 100019
- Publication date:
- 2019-12-09
- Acceptance date:
- 2019-12-06
- DOI:
- ISSN:
-
0960-0779
- Pubs id:
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pubs:1076743
- UUID:
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uuid:ee684930-f498-4ff3-8912-5af9accd8465
- Local pid:
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pubs:1076743
- Source identifiers:
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1076743
- Deposit date:
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2019-12-06
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2019
- Rights statement:
- © 2019 Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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