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Hamiltonian Systems and Their Integrability
Language: en
Pages: 172
Authors: Mich'le Audin
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques i
Differential Galois Theory and Non-Integrability of Hamiltonian Systems
Language: en
Pages: 177
Authors: Juan J. Morales Ruiz
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and t
Symplectic Geometry of Integrable Hamiltonian Systems
Language: en
Pages: 225
Authors: Michèle Audin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. Th
Integrable And Superintegrable Systems
Language: en
Pages: 399
Authors: Boris A Kuperschmidt
Categories: Science
Type: BOOK - Published: 1990-10-25 - Publisher: World Scientific

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Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem t
Integrability and Nonintegrability of Dynamical Systems
Language: en
Pages: 435
Authors: Alain Goriely
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: World Scientific

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This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. S