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Farey level separation in mode-locking structure of circle mappings

✍ Scribed by Arkady S. Pikovsky; Mikhail A. Zaks


Book ID
103579379
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
878 KB
Volume
59
Category
Article
ISSN
0167-2789

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Fine structure of mode-locked regions of
✍ Paul Glendinning; Jan Wiersig πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 77 KB

Perturbation theory is used to describe the structure of mode-locked tongues for the quasi-periodically forced circle map near parameter values at which the tongues width is very small. The analysis reveals that the tongues consist of interlocking 'bubbles' bounded by saddlenode bifurcations.