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Geometry and Dynamics of Integrable 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 s...

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Main Authors: Bolsinov, Alexey. (Author, http://id.loc.gov/vocabulary/relators/aut), Morales-Ruiz, Juan J. (http://id.loc.gov/vocabulary/relators/aut), Zung, Nguyen Tien. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Other Authors: Miranda, Eva. (Editor, http://id.loc.gov/vocabulary/relators/edt), Matveev, Vladimir. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edition:1st ed. 2016.
Series:Advanced Courses in Mathematics - CRM Barcelona,
Subjects:
Dynamics.
Ergodic theory.
Differential geometry.
Algebra.
Field theory (Physics).
Dynamical Systems and Ergodic Theory.
Differential Geometry.
Field Theory and Polynomials.
Online Access:https://doi.org/10.1007/978-3-319-33503-2
Table of Contents:
  • Integrable Systems and Differential Galois Theory
  • Singularities of bi-Hamiltonian Systems and Stability Analysis
  • Geometry of Integrable non-Hamiltonian Systems.

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