Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori
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Publication:5719184
DOI10.1088/0951-7715/18/6/006zbMath1125.37041OpenAlexW1963930919MaRDI QIDQ5719184
Publication date: 17 January 2006
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/cf9c28fa7c91f4861f56ee697468ce5eba46b6c6
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Universality and renormalization of dynamical systems (37E20)
Related Items (11)
KAM Theory as a Limit of Renormalization ⋮ Reducibility of quasi-periodically forced circle flows ⋮ Existence of critical invariant tori ⋮ Renormalization conjecture and rigidity theory for circle diffeomorphisms with breaks ⋮ 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 ⋮ A renormalization group approach to quasiperiodic motion with Brjuno frequencies ⋮ A renormalization approach to lower-dimensional tori with Brjuno frequency vectors ⋮ Rigidity for infinitely renormalizable area-preserving maps ⋮ Renormalization of vector fields and Diophantine invariant tori ⋮ Spectral properties of renormalization for area-preserving maps
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