An approximation to the critical commuting pair for breakup of noble tori.

DOI10.1016/0375-9601(85)90233-6zbMath1177.37057OpenAlexW2049024401MaRDI QIDQ1047638

J. Blot

Publication date: 5 January 2010

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

Full work available at URL: https://doi.org/10.1016/0375-9601(85)90233-6

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (5)

Boundary circles for area-preserving maps ⋮ A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation ⋮ Renormalization-group analysis for the transition to chaos in Hamiltonian systems ⋮ Exact results for an approximate renormalisation scheme and some predictions for the breakup of invariant tori ⋮ Unstable manifolds for the MacKay approximate renormalisation

Cites Work

• A renormalization approach to invariant circles in area-preserving maps
• Critical Behavior of a KAM surface. I: Empirical results

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