Renormalization, unstable manifolds, and the fractal structure of mode locking
Journal Article
·
· Phys. Rev. Lett.; (United States)
The apparent universality of the fractal dimension of the set of quasiperiodic windings at the onset of chaos in a wide class of circle maps is described by construction of a universal one-parameter family of maps which lies along the unstable manifold of the renormalization group. The manifold generates a universal ''devil's staircase'' whose dimension agrees with direct numerical calculations. Applications to experiments are discussed.
- Research Organization:
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York, 14853
- DOE Contract Number:
- AC02-83ER13044
- OSTI ID:
- 5597013
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 55:4; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
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