Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
Language: en
Pages: 460
Authors: Marco Pettini
Categories: Mathematics
Type: BOOK - Published: 2007-06-14 - Publisher: Springer Science & Business Media

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This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian fo
The Geometry of Hamiltonian Systems
Language: en
Pages: 526
Authors: Tudor Ratiu
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems"
Applications of Contact Geometry and Topology in Physics
Language: en
Pages: 475
Authors: Arkady Leonidovich Kholodenko
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: World Scientific Publishing Company Incorporated

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Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd
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
Symmetries, Topology and Resonances in Hamiltonian Mechanics
Language: en
Pages: 390
Authors: Valerij V. Kozlov
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of