Non-uniqueness of solutions of Percival's Euler-Lagrange equation

DOI10.1007/BF01214882zbMath0553.58011MaRDI QIDQ802183

John N. Mather

Publication date: 1982

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(C^{\infty }\) area preserving twist diffeomorphisms of the annulusPercival's Euler-Lagrange equationPercival's formalism

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets, Analytic destruction of invariant circles, Percival Lagrangian approach to the Aubry-Mather theory, Construction of invariant measures supported within the gaps of Aubry–Mather sets, Amount of rotation about a point and the Morse index, On a result by J. N. Mather concerning invariant sets for area-preserving twist maps

Cites Work

• Unnamed Item
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Concavity of the Lagrangian for quasi-periodic orbits