Geometry and Dynamics of Integrable Systems 1

bokomslag Geometry and Dynamics of Integrable Systems

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140 sidor
2016

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica 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.

Författare: Alexey Bolsinov, Juan J Morales-Ruiz, Nguyen Tien Zung, Eva Miranda, Vladimir Matveev
Illustratör: Bibliographie
Format: Pocket/Paperback
ISBN: 9783319335025
Språk: Engelska
Antal sidor: 140
Utgivningsdatum: 2016-11-09
Förlag: Birkhauser Verlag AG