### 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) |
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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 | |

State | Published - Dec 1 1987 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

Lakhtakia, A., Varadan, V. V., Messier, R., & Varadan, V. K. (1987). On the symmetries of the Julia sets for the process zz

^{p}+c.*Journal of Physics A: General Physics*,*20*(11), 3533-3535. [051]. https://doi.org/10.1088/0305-4470/20/11/051