Renormalization and shearless invariant tori: numerical results

DOI10.1088/0951-7715/17/5/008zbMath1066.37025OpenAlexW1983828400MaRDI QIDQ4667973

Hans Koch, Denis G. Gaidashev

Publication date: 18 April 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/5/008

zbMATH Keywords

rotation numberHamiltonian systemloss of stabilityrenormalization group methodschaotic regionsbreakup of invariant toriuniversal scaling ratios

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Universality and renormalization of dynamical systems (37E20) Flows on surfaces (37E35) Nearly integrable Hamiltonian systems, KAM theory (70H08) Rotation numbers and vectors (37E45)

Related Items (7)

Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ On a new fixed point of the renormalization group operator for area-preserving maps ⋮ Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ PERIOD DOUBLING RENORMALIZATION FOR AREA-PRESERVING MAPS AND MILD COMPUTER ASSISTANCE IN CONTRACTION MAPPING PRINCIPLE ⋮ Period doubling in area-preserving maps: an associated one-dimensional problem ⋮ Spectral properties of renormalization for area-preserving maps

This page was built for publication: Renormalization and shearless invariant tori: numerical results