Formulae for cycles in the Mandelbrot set

John Stephenson

Physica A: Statistical Mechanics and its Applications, 1991, vol. 177, issue 1, 416-420

Abstract: Analytical solutions to the parts of the boundary of the Mandelbrot set associated with cycles of orders 2, 3, 4, 5 are presented in the form of polynomial maps from the unit circle. Some applications of these polynomials are discussed.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:177:y:1991:i:1:p:416-420

DOI: 10.1016/0378-4371(91)90181-B

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