Farey level separation in mode-locking structure of circle mappings

DOI10.1016/0167-2789(92)90218-CzbMath0761.58037MaRDI QIDQ1207236

Arkadij S. Pikovskij, Michael A. Zaks

Publication date: 1 April 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

circle mappingsFarey level separationmode-lockingsrotation function

Mathematics Subject Classification ID

Topological dynamics (37B99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Universal scaling in circle maps
• The scaling of Arnol'd tongues for differentiable homeomorphisms of the circle
• Rational rotation numbers for maps of the circle
• Scaling of the Arnold tongues
• Harmonic scaling for smooth families of diffeomorphisms of the circle
• Scaling Laws for Mode Lockings in Circle Maps

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