Dynamical Systems and Geometric Mechanics
An Introduction
(Sprache: Englisch)
Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order...
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Klappentext zu „Dynamical Systems and Geometric Mechanics “
Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms.
Autoren-Porträt von Jared Maruskin
Jared Michael Maruskin, MZ Inc., USA
Bibliographische Angaben
- Autor: Jared Maruskin
- 2018, XII, 336 Seiten, 50 Schwarz-Weiß-Abbildungen, Maße: 17,7 x 24,6 cm, Gebunden, Englisch
- Verlag: De Gruyter
- ISBN-10: 3110597292
- ISBN-13: 9783110597295
- Erscheinungsdatum: 01.10.2018
Sprache:
Englisch
Pressezitat
"This book is exceptionally well-written. It also has an extensive and excellent bibliography."William J. Satzer Jr. in: Zentralblatt für Mathematik 1402.37001
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