Formulae for cycles in the Maldelbrot set III

The analytical solutions to the parts of the boundary of the Mandelbrot set associated with cycles of order 7 and 8 are obtained by an arithmetic method in the form of polynomials. The “inverse orbit” method of calculating the values of cycle centres is extended to complex cases, and applied to cycles up to order 10. Some geometrical aspects of the various cardioids and bubbles are explored.

MoreLess

Year of publication:	1992
Authors:	Stephenson, John
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 190.1992, 1, p. 117-129
Publisher:	Elsevier

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011057819