Renormalization for breakup of invariant tori

DOI10.1016/J.PHYSD.2004.09.010zbMath1153.37374OpenAlexW2054982358MaRDI QIDQ707168

D. Kharzeev

Publication date: 9 February 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.09.010

zbMATH Keywords

RenormalizationBreakupInvariant tori

Mathematics Subject Classification ID

Universality and renormalization of dynamical systems (37E20)

Related Items (10)

Applications of KAM theory to population dynamics ⋮ On a new fixed point of the renormalization group operator for area-preserving maps ⋮ Renormalization group operators for maps and universal scaling of universal scaling exponents ⋮ Breakup of shearless meanders and “outer” tori in the standard nontwist map ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ A simple reconnecting map ⋮ Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map ⋮ On bifurcations in degenerate resonance zones ⋮ Unnamed Item ⋮ LOCALIZING TRANSPORT BARRIERS IN DEGENERATE 3/2 D.O.F. HAMILTONIAN SYSTEMS WITH APPLICATIONS TO MAGNETIC CONFINEMENT FUSION

Cites Work

• Unnamed Item
• A renormalization approach to invariant circles in area-preserving maps
• Critical Behavior of a KAM surface. I: Empirical results
• Towards an existence proof of MacKay's fixed point
• On the renormalization of Hamiltonian flows, and critical invariant tori
• Area preserving nontwist maps: Periodic orbits and transition to chaos
• Renormalization and transition to chaos in area preserving nontwist maps
• On invariant curves under renormalisation
• Locally most robust circles and boundary circles for area-preserving maps
• Chaotic transport by Rossby waves in shear flow
• Renormalization and destruction of 1/γ2 tori in the standard nontwist map

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