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Geometry and Dynamics of Integrable Systems

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Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields.

Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

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Detail Information

Series Title

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Call Number

516 BOL g

Publisher

: ., 2016

Collation

VIII, 140

Language

English

ISBN/ISSN

978-3-319-33502-5

Classification

550

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

Dynamical Systems

Specific Detail Info

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Statement of Responsibility

Alexey Bolsinov

Other Information

Cataloger

Khusnun

Source

-

Validator

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