Taylor series approximations to Julia set scaling functions

A. H. Osbaldestin; M. Y. Sarkis

doi:10.1016/0167-2789(92)90006-9

Taylor series approximations to Julia set scaling functions

A. H. Osbaldestin^*
, M. Y. Sarkis

^*Corresponding author for this work

Loughborough University

Research output: Contribution to journal › Article › peer-review

Abstract

We show that it is possible to use Taylor series approximations to numerically find scaling functions associated with the Julia sets of complex maps. The example we use is the mapping z→z²+c. The Taylor series are in powers of the parameter c about the trivial case c=0.

Original language	English
Pages (from-to)	330-336
Number of pages	7
Journal	Physica D: Nonlinear Phenomena
Volume	57
Issue number	3-4
DOIs	https://doi.org/10.1016/0167-2789(92)90006-9
Publication status	Published - 15 Aug 1992

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title = "Taylor series approximations to Julia set scaling functions",

abstract = "We show that it is possible to use Taylor series approximations to numerically find scaling functions associated with the Julia sets of complex maps. The example we use is the mapping z→z2+c. The Taylor series are in powers of the parameter c about the trivial case c=0.",

author = "Osbaldestin, \{A. H.\} and Sarkis, \{M. Y.\}",

year = "1992",

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AU - Sarkis, M. Y.

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N2 - We show that it is possible to use Taylor series approximations to numerically find scaling functions associated with the Julia sets of complex maps. The example we use is the mapping z→z2+c. The Taylor series are in powers of the parameter c about the trivial case c=0.

AB - We show that it is possible to use Taylor series approximations to numerically find scaling functions associated with the Julia sets of complex maps. The example we use is the mapping z→z2+c. The Taylor series are in powers of the parameter c about the trivial case c=0.

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SP - 330

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

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Taylor series approximations to Julia set scaling functions

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