On the universality of singular circle maps.

DOI10.1016/S0375-9601(97)00333-2zbMath1053.37515OpenAlexW2074026137MaRDI QIDQ1968356

B. G. Kenny, Tony W. Dixon, Keith M. Briggs

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00333-2

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Universality and renormalization of dynamical systems (37E20)

Related Items (6)

Common limits of Fibonacci circle maps ⋮ Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points ⋮ Scaling in a Map of the Two-Torus ⋮ Analytic Solutions of the Cvitanović–Feigenbaum and Feigenbaum–Kadanoff–Shenker Equations ⋮ Transition to criticality in circle maps at the golden mean ⋮ Regularity of Conjugacies between Critical Circle Maps: An Experimental Study

Uses Software

• Algorithm 719

Cites Work

• Unnamed Item
• Unnamed Item
• Universal scaling behaviour for iterated maps in the complex plane
• Renormalization group analysis of quasi-periodicity in analytic maps
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• The universal metric properties of nonlinear transformations
• Map dependence of the fractal dimension deduced from iterations of circle maps
• The transition to aperiodic behavior in turbulent systems
• Quantitative universality for a class of nonlinear transformations
• Fractal dimensions and homeomorphic conjugacies.
• Corrections to universal scaling in real maps
• Relations between universal scaling constants for the circle map near the golden mean
• Siegel disc singularity spectra
• Algorithm 719: Multiprecision translation and execution of FORTRAN programs
• Analytic Solutions of the Cvitanović–Feigenbaum and Feigenbaum–Kadanoff–Shenker Equations

This page was built for publication: On the universality of singular circle maps.