## 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 | |

State | Published - 1987 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics

## Fingerprint

Dive into the research topics of 'On the symmetries of the Julia sets for the process zz^{p}+c'. Together they form a unique fingerprint.