Renormalization group operators for maps and universal scaling of universal scaling exponents

DOI10.1016/j.physd.2010.09.005zbMath1221.37091OpenAlexW2082705635MaRDI QIDQ629012

Amit Apte

Publication date: 8 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.09.005

zbMATH Keywords

operatorsrenormalization groupcritical scaling exponentssimple fixed points

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20) Rotation numbers and vectors (37E45)

Related Items

Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map

Cites Work

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• Renormalization for breakup of invariant tori
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• The critical renormalization fixed point for commuting pairs of area-preserving maps
• Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number
• On the abundance of aperiodic behaviour for maps on the interval
• Renormalization-group analysis for the transition to chaos in Hamiltonian systems
• On the renormalization of Hamiltonian flows, and critical invariant tori
• Renormalization and transition to chaos in area preserving nontwist maps
• New Directions in Dynamical Systems
• Renormalization of Quasiperiodic Mappings
• Universal scalings of universal scaling exponents