On the symmetries of the Julia sets for the process zzp+c

A. Lakhtakia; V. V. Varadan; R. Messier; V. K. Varadan

doi:10.1088/0305-4470/20/11/051

On the symmetries of the Julia sets for the process zz^p+c

A. Lakhtakia, V. V. Varadan, R. Messier, V. K. Varadan

Engineering Science and Mechanics

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91 Scopus citations

Abstract

The self-replicating properties of the Julia sets J_c(p) for the iterative processes z implies z^p+c are examined for integers p)1. It is shown that the corresponding Mandelbrot sets M(p) contain (p-1)-fold symmetries, which results in J_c(p) having p-fold symmetries.

Original language	English (US)
Article number	051
Pages (from-to)	3533-3535
Number of pages	3
Journal	Journal of Physics A: General Physics
Volume	20
Issue number	11
DOIs	https://doi.org/10.1088/0305-4470/20/11/051
State	Published - 1987

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1088/0305-4470/20/11/051

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title = "On the symmetries of the Julia sets for the process zzp+c",

abstract = "The self-replicating properties of the Julia sets Jc(p) for the iterative processes z implies zp+c are examined for integers p)1. It is shown that the corresponding Mandelbrot sets M(p) contain (p-1)-fold symmetries, which results in Jc(p) having p-fold symmetries.",

author = "A. Lakhtakia and Varadan, \{V. V.\} and R. Messier and Varadan, \{V. K.\}",

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AU - Lakhtakia, A.

AU - Varadan, V. V.

AU - Messier, R.

AU - Varadan, V. K.

PY - 1987

Y1 - 1987

N2 - The self-replicating properties of the Julia sets Jc(p) for the iterative processes z implies zp+c are examined for integers p)1. It is shown that the corresponding Mandelbrot sets M(p) contain (p-1)-fold symmetries, which results in Jc(p) having p-fold symmetries.

AB - The self-replicating properties of the Julia sets Jc(p) for the iterative processes z implies zp+c are examined for integers p)1. It is shown that the corresponding Mandelbrot sets M(p) contain (p-1)-fold symmetries, which results in Jc(p) having p-fold symmetries.

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U2 - 10.1088/0305-4470/20/11/051

DO - 10.1088/0305-4470/20/11/051

M3 - Article

AN - SCOPUS:0000109264

SN - 0305-4470

VL - 20

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JO - Journal of Physics A: General Physics

JF - Journal of Physics A: General Physics

IS - 11

M1 - 051

ER -

On the symmetries of the Julia sets for the process zz^p+c

Abstract

All Science Journal Classification (ASJC) codes

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