Geometry and Dynamics of Integrable Systems

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 s...

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Κύριοι συγγραφείς: Bolsinov, Alexey (Συγγραφέας), Morales-Ruiz, Juan J. (Συγγραφέας), Zung, Nguyen Tien (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Miranda, Eva (Επιμελητής έκδοσης), Matveev, Vladimir (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Σειρά:Advanced Courses in Mathematics - CRM Barcelona,
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Διαθέσιμο Online:Full Text via HEAL-Link
Περιγραφή
Περίληψη: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.
Φυσική περιγραφή:VIII, 140 p. 22 illus., 3 illus. in color. online resource.
ISBN:9783319335032
ISSN:2297-0304