Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow

DOI10.1134/S1560354718060126zbMath1412.37058OpenAlexW2903603808WikidataQ128754765 ScholiaQ128754765MaRDI QIDQ1739564

Robert S. MacKay

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718060126

zbMATH Keywords

KAM theoryvolume-preserving mapHamiltonian theory

Mathematics Subject Classification ID

Related Items (3)

Regions without invariant tori of given class for the planar circular restricted three-body problem ⋮ On the distribution of heat in fibered magnetic fields ⋮ Nonexistence of invariant tori transverse to foliations: An application of converse KAM theory

Cites Work

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• A theorem of E. Hopf
• Non-existence of invariant circles
• Generic bifurcations of the twist coefficient
• Converse KAM theory for symplectic twist maps
• Regions of nonexistence of invariant tori for spin-orbit models
• Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor

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