When are the invariant submanifolds of symplectic dynamics Lagrangian?
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Publication:379844
DOI10.3934/dcds.2014.34.1811zbMath1308.37026arXiv1409.5204OpenAlexW2963770817MaRDI QIDQ379844
Publication date: 11 November 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5204
Lagrangian submanifoldsKAM theoryHamiltonian dynamicsLagrangian dynamicsinvariant submanifldsminimizing submanifoldssymplectic dynamics
Hamilton's equations (70H05) Lagrangian submanifolds; Maslov index (53D12) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)
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On the \(C^1\) and \(C^2\)-convergence to weak K.A.M. solutions, A multidimensional Birkhoff theorem for time-dependent Tonelli Hamiltonians, On the graph theorem for Lagrangian minimizing tori
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