A Necessary Condition of Nonminimal Aubry–Mather Sets for Monotone Recurrence Relations

DOI10.1142/S0218127414500126zbMath1284.37023OpenAlexW2114543546MaRDI QIDQ5407297

Ya-Nan Wang, Wen-Xin Qin

Publication date: 7 April 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414500126

zbMATH Keywords

Aubry-Mather setmonotone recurrence relationnonminimal Birkhoff solution

Mathematics Subject Classification ID

Periodic and quasi-periodic flows and diffeomorphisms (37C55) Rotation numbers and vectors (37E45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• More Denjoy minimal sets for area preserving diffeomorphisms
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• A new proof of the Aubry-Mather's theorem
• Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media
• Metric properties of minimal solutions of discrete periodical variational problems
• Ground states and critical points for generalized Frenkel–Kontorova models in \pmb{\mathbb Z}^d
• Many Solutions of Elliptic Problems on Rⁿof Irrational Slope
• Ground states and critical points for Aubry-Mather theory in Statistical mechanics

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