Universal scaling in circle maps

DOI10.1016/0167-2789(89)90017-1zbMath0701.57013OpenAlexW1983998334MaRDI QIDQ914200

Seunghwan Kim, Stellan Ostlund

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90017-1

zbMATH Keywords

Hamiltonian systemsSchrödinger equationcircle mapuniversal scalingFarey treedissipative dynamic systems

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Differentiable mappings in differential topology (57R35)

Related Items

Renormalization in a circle map with two inflection points ⋮ Farey level separation in mode-locking structure of circle mappings ⋮ Singular measures in circle dynamics

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Measuring the strangeness of strange attractors
• Transition to topological chaos for circle maps
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Fractal bifurcation sets, renormalization strange sets and their universal invariants
• Renormalization of Quasiperiodic Mappings
• Scaling Laws for Mode Lockings in Circle Maps
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