Relations between universal scaling constants for the circle map near the golden mean

DOI10.1063/1.529382zbMath0850.70015OpenAlexW2012236079MaRDI QIDQ3981666

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Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529382

Mathematics Subject Classification ID

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

Related Items (5)

On the universality of singular circle maps. ⋮ Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points ⋮ 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

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Functional equations for circle homeomorphisms with golden ratio rotation number
• Fractal measures and their singularities: The characterization of strange sets

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