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

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

Research output: Contribution to journalArticle

50 Citations (Scopus)

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.

Original languageEnglish (US)
Article number051
Pages (from-to)3533-3535
Number of pages3
JournalJournal of Physics A: General Physics
Volume20
Issue number11
DOIs
StatePublished - Dec 1 1987

Fingerprint

Julia set
Fold
Mandelbrot set
Symmetry
symmetry
Iterative Process
integers
Imply
Integer

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Lakhtakia, Akhlesh ; Varadan, V. V. ; Messier, R. ; Varadan, V. K. / On the symmetries of the Julia sets for the process zzp+c. In: Journal of Physics A: General Physics. 1987 ; Vol. 20, No. 11. pp. 3533-3535.
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On the symmetries of the Julia sets for the process zzp+c. / Lakhtakia, Akhlesh; Varadan, V. V.; Messier, R.; Varadan, V. K.

In: Journal of Physics A: General Physics, Vol. 20, No. 11, 051, 01.12.1987, p. 3533-3535.

Research output: Contribution to journalArticle

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