Abstract
In the extended standard map, the critical line for breakup of an invariant circle contains, for almost all rotation numbers, a Cantor set of cusps in parameter space. The Farey route to a given rotation number illustrates how the cusps appear and allows the characterization of their pattern. The fact that the cusp-splitting rules seem attainable by the Farey route rather than by the convergents must be incorporated in the renormalization theory.
Original language | English |
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Pages (from-to) | 775-780 |
Number of pages | 6 |
Journal | Physical Review A |
Volume | 42 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 1990 |
MoE publication type | Not Eligible |