Scaling in a Map of the Two-Torus

DOI10.1080/10586458.2000.10504654zbMath1106.37304OpenAlexW1991755812MaRDI QIDQ2743879

Gonzalo Alvarez, Keith M. Briggs

Publication date: 17 September 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1045952353

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional dynamical systems (37E99) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Uses Software

• CLN

Cites Work

• Elliptic functions and applications
• Corrections to universal scaling in real maps
• On the universality of singular circle maps.
• Feigenvalues for Mandelsets
• Iteration of meromorphic functions
• Scaling Laws for Mode Lockings in Circle Maps
• Analytic Solutions of the Cvitanović–Feigenbaum and Feigenbaum–Kadanoff–Shenker Equations

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