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＜E-Book＞
Geometry and Dynamics of Integrable Systems / by Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)

Edition	1st ed. 2016.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2016
Language	English
Size	VIII, 140 p. 22 illus., 3 illus. in color : online resource
Authors	*Bolsinov, Alexey author Morales-Ruiz, Juan J author Zung, Nguyen Tien author Miranda, Eva editor Matveev, Vladimir editor SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Geometry, Differential LCSH:Algebraic fields LCSH:Polynomials FREE:Dynamical Systems FREE:Differential Geometry FREE:Field Theory and Polynomials
Notes	Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian 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 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 andalgebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds HTTP:URL=https://doi.org/10.1007/978-3-319-33503-2

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