Complete Devil's Staircase, Fractal Dimension, and Universality of Mode- Locking Structure in the Circle Map
- 23 May 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (21) , 1637-1639
- https://doi.org/10.1103/physrevlett.50.1637
Abstract
It is shown numerically that the stability intervals for limit cycles of the circle map form a complete devil's staircase at the onset of chaos. The complementary set to the stability intervals is a Cantor set of fractal dimension . This exponent is found to be universal for a large class of functions.
Keywords
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