The scaling of Arnol'd tongues at degenerate fold bifurcations

DOI10.1016/0167-2789(90)90128-CzbMath0692.58025MaRDI QIDQ583680

Leo B. Jonker

Publication date: 1990

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

zbMATH Keywords

bifurcationhomeomorphisms of the circleArnol'd tongues

Mathematics Subject Classification ID

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

Related Items (1)

Renormalization of diffeomorphisms of the circle and scaling of ``Arnold tongues

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Universal properties of maps of the circle with \(\epsilon\)-singularities
• 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
• Scaling Laws for Mode Lockings in Circle Maps
• Small denominators. I. Mappings of the circumference onto itself
• Unnamed Item

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