| Dewey Class |
515.48 |
| Title |
Geometry and Dynamics of Integrable Systems ([EBook]) / by Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev. |
| Author |
Bolsinov, A.V.(Aleksei Viktorovich) |
| Added Personal Name |
Morales Ruiz, Juan J. (Juan José) , 1953- |
| Zung, Nguyen Tien |
| Miranda, Eva |
| Matveev, Vladimir |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Cham : Springer International Publishing , 2016. |
| Physical Details |
VIII, 140 pages 22 illus., 3 illus. in color. : online resource. |
| Series |
Advanced courses in mathematics, CRM Barcelona 2297-0304 |
| ISBN |
9783319335032 |
| Summary Note |
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.: |
| Contents note |
Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-319-33503-2 |
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