### Abstract

Breakup of a golden invariant circle is studied in an extended version of the standard map with two parameters. The critical line in parameter space turns out to have a Cantor set of cusps which can be organized in a self-similar tree. A theoretical explanation is conjectured in terms of a horseshoe for a renormalisation operator. The results of some other researchers on similar systems are shown to fit this explanation as well.

Original language | English |
---|---|

Pages (from-to) | 318-334 |

Number of pages | 17 |

Journal | Physica D: Nonlinear Phenomena |

Volume | 35 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jan 1989 |

MoE publication type | Not Eligible |