TY  - BOOK
AU  - Bolsinov,Alexey
AU  - Morales-Ruiz,Juan J.
AU  - Zung,Nguyen Tien
AU  - Miranda,Eva
AU  - Matveev,Vladimir
ED  - SpringerLink (Online service)
TI  - Geometry and Dynamics of Integrable Systems
T2  - Advanced Courses in Mathematics - CRM Barcelona,
SN  - 9783319335032
AV  - QA313 
U1  - 515.39 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Differentiable dynamical systems
KW  - Global differential geometry
KW  - Field theory (Physics)
KW  - Dynamical Systems and Ergodic Theory
KW  - Differential Geometry
KW  - Field Theory and Polynomials
N1  - Integrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-33503-2
ER  -