eBook - PDF

Dynamical Systems and Geometric Mechanics

Name: Dynamical Systems and Geometric Mechanics
ISBN: 9783110597806

An Introduction

Jared Maruskin,

348 pages
English
PDF
Available on iOS & Android

eBook - PDF

Dynamical Systems and Geometric Mechanics

An Introduction

Jared Maruskin,

About this book

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.

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Yes, you can access Dynamical Systems and Geometric Mechanics by Jared Maruskin in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Differential Equations. We have over one million books available in our catalogue for you to explore.