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.
|Number of pages||17|
|Journal||Physica D: Nonlinear Phenomena|
|Publication status||Published - 1 Jan 1989|
|MoE publication type||Not Eligible|