Fine structure of mode-locked regions of the quasi-periodically forced circle map

✍ Scribed by Paul Glendinning; Jan Wiersig

• Book ID: 104337435
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 77 KB
• Volume: 257
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00260-1

✦ Synopsis

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.