A remark on the multiplicity of monotone periodic orbits

DOI10.1017/S0143385700009378zbMath0666.58038OpenAlexW2171205567MaRDI QIDQ3817343

Glen Richard Hall

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700009378

zbMATH Keywords

Aubry-Mather theoremarea-preserving monotone twist mapmonotone periodic orbit

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Monotone twist mappings and the calculus of variations
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