Logo

Ordinary Differential Equations and Dynamical Systems

Small book cover: Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems
by

Publisher: Universitaet Wien
Number of pages: 297

Description:
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore we consider linear equations, the Floquet theorem, and the autonomous linear flow.

Home page url

Download or read it online for free here:
Download link
(3MB, PDF)

Similar books

Book cover: Chaos TheoryChaos Theory
by - InTech
With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.
(524 views)
Book cover: Invitation to Dynamical SystemsInvitation to Dynamical Systems
by - Prentice Hall College Div
Author invites readers from a wide range of backgrounds to explore the beauty and excitement of dynamical systems. Written for readers who want to continue exploring mathematics beyond linear algebra, but are not ready for highly abstract material.
(10797 views)
Book cover: Entropy of Compact Group AutomorphismsEntropy of Compact Group Automorphisms
by - University of East Anglia
These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.
(4174 views)
Book cover: Data Assimilation: A Mathematical IntroductionData Assimilation: A Mathematical Introduction
by - arXiv.org
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation. Authors develop a framework in which a Bayesian formulation of the problem provides the bedrock for the derivation and analysis of algorithms.
(653 views)