This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems. The subjects are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The underlying concepts
Geometrical theory of dynamical systems
β Scribed by Berglund N.
- Book ID
- 127398019
- Year
- 2001
- Tongue
- English
- Weight
- 650 KB
- Edition
- draft lecture notes
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-200f, to undergraduate Mathematics and Physics students. The choice of topics covered here is somewhat arbitrary, and was partly imposed by time limitations. Evidently, these notes do not intend to replace the many existing excellent textbooks on the subject, a few of which are listed in the bibliography, but they might provide a reasonably concise, albeit certainly biased introduction to this huge domain. The approach used here has probably been influenced by my first teacher in Dynamical Systems, Prof. Herve Kunz. I also wish to acknowledge my student's contribution in mercilessly tracking down a substantial amount of typos.
π SIMILAR VOLUMES
We use geometric invariant theory and the language of quivers to study compactifications of moduli spaces of linear dynamical systems. A general approach to this problem is presented and applied to two well known cases: We show how both Lomadze's and Helmke's compactification arises naturally as a g