The action spectrum near positive definite invariant tori

Bulletin de la Societe Mathematique de France

Volumn 131, Issue 4, 2003, Pages 603-616

  Bernard, Patrick ^a,b  

^a EPFL   (Switzerland)

^b Institut Joseph Fourier   (France)

Author keywords

Action spectrum; Aubry Mather theory; Averaged action; Invariant torus; Lagrangian systems; Minimizing orbits; Normal forms

Indexed keywords

EID: 2342455799     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2457     Document Type: Article

References (7)

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4. LAZUTKIN (V.) - KAM Theory and Semiclassical Approximations to Eigenfunctions, Springer. 1993.
5. MATHER (J.N.) - Action minimizing invariant measures for positive definite Lagrangian systems, Math. Z., t. 207 (1991), pp. 169-207.
6. SIBURG (K.F.) - Aubry-Mather theory and the inverse spectral problem for planar convex domains, Israel J. Math., t.113 (1999), pp. 285-304.
7. _, Symplectic invariants of elliptic fixed points, Comment. Math. Helv., t. 75 (2000), pp. 681-700.