Renormalization for golden circles

DOI10.1007/BF02098303zbMath0773.58023MaRDI QIDQ1803956

Andreas Stirnemann

Publication date: 29 June 1993

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

zbMATH Keywords

renormalizationarea-preserving mapstwist mapsgolden circle

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items

Existence of Invariant Circles for Infinitely Renormalisable Area-Preserving Maps, Escape times across the golden cantorus of the standard map, Combination laws for scaling exponents and relation to the geometry of renormalization operators, The critical renormalization fixed point for commuting pairs of area-preserving maps, On hyperbolicity in the renormalization of near-critical area-preserving maps, Renormalization for golden circles, Fractal properties of critical invariant curves

Cites Work

• Unnamed Item
• A renormalization approach to invariant circles in area-preserving maps
• Critical Behavior of a KAM surface. I: Empirical results
• Renormalization for golden circles
• Non-existence of invariant circles