Approximate renormalization with codimension-one fixed point for the break-up of some three-frequency tori

DOI10.1016/S0375-9601(00)00599-5zbMath1115.37340MaRDI QIDQ998083

Cristel Chandre, Robert S. MacKay

Publication date: 10 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

renormalizationHamiltonian systeminvariant tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Renormalization-group analysis for the transition to chaos in Hamiltonian systems, The destruction of tori in volume-preserving maps, Existence of critical invariant tori

Cites Work

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• A version of Thirring’s approach to the Kolmogorov–Arnold–Moser theorem for quadratic Hamiltonians with degenerate twist