03665nam 22006735 450 991025409210332120251202120136.03-319-33503-010.1007/978-3-319-33503-2(CKB)3710000000926146(DE-He213)978-3-319-33503-2(MiAaPQ)EBC6312031(MiAaPQ)EBC5590775(Au-PeEL)EBL5590775(OCoLC)1026462873(PPN)196323576(EXLCZ)99371000000092614620161028d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierGeometry and Dynamics of Integrable Systems /by Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev1st ed. 2016.Cham :Springer International Publishing :Imprint: Birkhäuser,2016.1 online resource (VIII, 140 p. 22 illus., 3 illus. in color.) Advanced Courses in Mathematics - CRM Barcelona,2297-03123-319-33502-2 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.Advanced Courses in Mathematics - CRM Barcelona,2297-0312Dynamical systemsGeometry, DifferentialAlgebraic fieldsPolynomialsDynamical SystemsDifferential GeometryField Theory and PolynomialsDynamical systems.Geometry, Differential.Algebraic fields.Polynomials.Dynamical Systems.Differential Geometry.Field Theory and Polynomials.516.35Bolsinov Alexeyauthttp://id.loc.gov/vocabulary/relators/aut755931Morales-Ruiz Juan Jauthttp://id.loc.gov/vocabulary/relators/autZung Nguyen Tienauthttp://id.loc.gov/vocabulary/relators/autMiranda Evaedthttp://id.loc.gov/vocabulary/relators/edtMatveev Vladimiredthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910254092103321Geometry and Dynamics of Integrable Systems2174087UNINA