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The size of mandelbrot bulbs

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Show simple item record Fowler, Andrew C. McGuinness, Mark J. 2020-03-05T12:36:11Z 2020-03-05T12:36:11Z 2019
dc.description peer-reviewed en_US
dc.description.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 1 q 2 sin πp q . en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation.ispartofseries Chaos, Solitons & Fractals: X;100019
dc.subject Mandelbrot set en_US
dc.subject Mandelbrot bulbs en_US
dc.title The size of mandelbrot bulbs en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.csfx.2019.100019
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 2942984

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