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Symplectic rigidity, symplectic fixed points, and global perturbations of Hamiltonian systems
Author(s) -
Dragnev Dragomir L.
Publication year - 2008
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20203
Subject(s) - symplectic geometry , mathematics , rigidity (electromagnetism) , hamiltonian system , hamiltonian (control theory) , fixed point , symplectomorphism , pure mathematics , symplectic representation , symplectic manifold , mathematical analysis , physics , mathematical optimization , quantum mechanics
In this paper we study a generalized symplectic fixed‐point problem, first considered by J. Moser in [20], from the point of view of some relatively recently discovered symplectic rigidity phenomena. This problem has interesting applications concerning global perturbations of Hamiltonian systems. © 2007 Wiley Periodicals, Inc.