Higher-order fixed points of the renormalisation operator for invariant circles

DOI10.1088/0951-7715/3/1/005zbMath0735.70018OpenAlexW2147225498MaRDI QIDQ3977649

John M. Greene, Jianmin Mao

Publication date: 25 June 1992

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/3/1/005

zbMATH Keywords

KAM theoryinvariant circlesarea preserving twist mapsrenormalisation operator

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (13)

Cantori for multiharmonic maps ⋮ Renormalization and transition to chaos in area preserving nontwist maps ⋮ The one to two-hole transition for cantori ⋮ Renormalization-group analysis for the transition to chaos in Hamiltonian systems ⋮ Area preserving nontwist maps: Periodic orbits and transition to chaos ⋮ DIFFUSIVE TRANSPORT THROUGH A NONTWIST BARRIER IN TOKAMAKS ⋮ Ratchet current in nontwist Hamiltonian systems ⋮ Birth of a new class of period-doubling scaling behavior as a result of bifurcation in the renormalization equation ⋮ Circle maps with symmetry-breaking perturbations ⋮ Global transport in a nonautonomous periodic standard map ⋮ Multiparameter critical situations, universality and scaling in two-dimensional period-doubling maps ⋮ The critical renormalization fixed point for commuting pairs of area-preserving maps ⋮ Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map

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