Geometry and Dynamics of Integrable Systems

• Main Authors: Bolsinov, Alexey (Author), Morales-Ruiz, Juan J. (Author), Zung, Nguyen Tien (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Miranda, Eva (Editor), Matveev, Vladimir (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Advanced Courses in Mathematics - CRM Barcelona,
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Dynamics.; Ergodic theory.; Differential geometry.; Dynamical Systems and Ergodic Theory.; Differential Geometry.; Field Theory and Polynomials.

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...

Table of Contents:

• Integrable Systems and Differential Galois Theory
• Singularities of bi-Hamiltonian Systems and Stability Analysis
• Geometry of Integrable non-Hamiltonian Systems.