Scaling exponents, relations, and order dependence for circle maps

DOI10.1016/0167-2789(87)90233-8zbMath0612.58022OpenAlexW2062627882MaRDI QIDQ1088231

D. R. Rasmussen, Mogens T. Levinsen, Preben Alstrøm

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90233-8

zbMATH Keywords

devil's staircaseScalingorientation-preserving circle maps

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration of real functions in one variable (26A18)

Related Items (3)

Space–time renormalization at the onset of spatio–temporal chaos in coupled maps ⋮ Circle map behaviour of a modulated relaxation oscillator ⋮ Scales interference and identification at the transition to chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• A numerical study of the likelihood of phase locking
• Map dependence of the fractal dimension deduced from iterations of circle maps

This page was built for publication: Scaling exponents, relations, and order dependence for circle maps