On Aubry-Mather sets

DOI10.1016/0167-2789(90)90033-LzbMath0718.58040OpenAlexW2073608534MaRDI QIDQ2639394

F. M. Tangerman, J. J. P. Veerman

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90033-l

zbMATH Keywords

rotation numberhyperbolic structurearea preserving twist mapAubry- Mather setsinvariant minimal set

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

Variational computation of homoclinic orbits for twist maps ⋮ Denjoy minimal sets and Birkhoff periodic orbits for non-exact monotone twist maps ⋮ Intersection properties of invariant manifolds in certain twist maps ⋮ Renormalization of Aubry-Mather Cantor sets

Cites Work

• Renormalization of Aubry-Mather Cantor sets
• A criterion for the non-existence of invariant circles
• An obstruction method for the destruction of invariant curves
• Hyperbolic sets for twist maps
• Destruction of invariant circles
• Generic Properties of Conservative Systems II
• Rotation interval from a time series
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