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Symplectic Invariants and Hamiltonian Dynamics
Language: en
Pages: 353
Authors: Helmut Hofer
Categories: Mathematics
Type: BOOK - Published: 2011-03-31 - Publisher: Springer Science & Business Media

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The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic top
Symplectic Invariants and Hamiltonian Dynamics
Language: en
Pages: 356
Authors: Helmut Hofer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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Analysis of an old variational principal in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of
Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
Language: en
Pages: 158
Authors: Victor Guillemin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting
Hamiltonian Dynamics
Language: en
Pages: 457
Authors: Gaetano Vilasi
Categories: Science
Type: BOOK - Published: 2001-03-09 - Publisher: World Scientific

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This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics a
Symplectic Geometry and Topology
Language: en
Pages: 452
Authors: Yakov Eliashberg
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

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Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with