A new type of period-doubling scaling behavior in two-dimensional area-preserving map

DOI10.1016/j.physleta.2005.11.037zbMath1195.37009OpenAlexW2041936648MaRDI QIDQ1957463

Igor R. Sataev, Sergey P. Kuznetsov

Publication date: 27 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.11.037

zbMATH Keywords

bifurcationscalingperiod doublingarea-preserving mapiterative map

Mathematics Subject Classification ID

Ergodic theory (37A99)

Cites Work

• Bounds on the unstable eigenvalue for period doubling
• On universality for area-preserving maps of the plane
• Universal behaviour in families of area-preserving maps
• Renormalization group analysis of bifurcations in area-preserving maps
• The universal metric properties of nonlinear transformations
• A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
• Quantitative universality for a class of nonlinear transformations
• Universal metric properties of bifurcations of endomorphisms
• Feigenvalues for Mandelsets
• Analytic Solutions of the Cvitanović–Feigenbaum and Feigenbaum–Kadanoff–Shenker Equations

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