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Formulae for cycles in the Mandelbrot set

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  • Stephenson, John

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.

Suggested Citation

  • Stephenson, John, 1991. "Formulae for cycles in the Mandelbrot set," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 416-420.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:416-420
    DOI: 10.1016/0378-4371(91)90181-B
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    References listed on IDEAS

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    1. Post, T. & Capel, H.W. & Van der Weele, J.P., 1989. "Phase-length distributions in intermittent band switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 321-350.
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    1. Post, Thijs & Capel, Hans W., 1991. "Windows in one-dimensional maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(1), pages 62-100.

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