Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling

DOI10.1007/s00220-004-1143-2zbMath1145.37316OpenAlexW2053018879MaRDI QIDQ1766907

Alexei Tsygvintsev, Ben D. Mestel, Andrew H. Osbaldestin

Publication date: 2 March 2005

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

Full work available at URL: https://researchportal.port.ac.uk/portal/en/publications/bounds-on-the-unstable-eigenvalue-for-the-asymmetric-renormalization-operator-for-period-doubling(80d3e4ff-80e5-4dd9-bd7d-b208dbcaa6e3).html

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)

Related Items (3)

Bounded analytic maps, wall fractions and ABC-flow ⋮ Continued \(g\)-fractions and geometry of bounded analytic maps ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps

Cites Work

• Bounds on the unstable eigenvalue for period doubling
• New proofs of the existence of the Feigenbaum functions
• Feigenbaum theory for unimodal maps with asymmetric critical point: rigorous results
• Continued fractions and solutions of the Feigenbaum-Cvitanović equation
• Quantitative universality for a class of nonlinear transformations
• Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points
• A computer-assisted proof of the Feigenbaum conjectures
• Feigenbaum theory for unimodal maps with asymmetric critical point
• Renormalization and 3-Manifolds Which Fiber over the Circle
• Existence and properties of \(p\)-tupling fixed points
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