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Updated: Jul 16, 2026

Original Experimental Approach for Assessing Transport Fuel Stability
Published on: October 21, 2016
Robust transport barriers resulting from strong Kolmogorov-Arnold-Moser stability
I I Rypina1, M G Brown, F J Beron-Vera
1RSMAS/AMP, University of Miami, 4600 Rickenbacker Causeway, Miami, Florida 33149, USA.
Abstract:
Hamiltonian systems that locally violate the twist condition arise in many applications. Numerical simulations reveal that, when systems of this type are perturbed, the degenerate or nontwist tori are remarkably stable. This phenomenon, which we refer to as strong Kolmogorov-Arnold-Moser (KAM) stability, is shown to be linked to very small resonance widths near degenerate tori. Quantitative estimates of degenerate resonance widths are derived and bifurcations of degenerate resonances are described. Strong KAM stability leads to robust transport barriers, which are important in all of the many applications in which Hamilitonians with the nontwist property arise.
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