Geometry of integrable non-Hamiltonian systems

2014/07/16 by Nguyen Tien Zung, Zung, Nguyen Tien
Mathematics · Physics and Astronomy · #37C85 #37J15 #37J35 #53C15 #58K45 #58K50 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1407.4494

openalex publication_date 2014/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an expanded version of the lecture notes for a minicourse that I gave at a summer school called "Advanced Course on Geometry and Dynamics of Integrable Systems" at CRM Barcelona, 9--14/September/2013. In this text we study the following aspects of integrable non-Hamiltonian systems: local and semi-local normal forms and associated torus actions for integrable systems, and the geometry of integrable systems of type (n,0). Most of the results presented in this text are very recent, and some theorems in this text are even original in the sense that they have not been written down explicitly elsewhere.

Related

• Torus Actions and Integrable Systems
• Lectures on integrable Hamiltonian systems
• Non-local Hamiltonian structures and applications to the theory of integrable systems I
• Nondegenerate singularities of integrable dynamical systems
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