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: Lectures on Topics In One-Parameter Bifurcation ProblemsLectures on Topics In One-Parameter Bifurcation Problems
by - Tata Institute of Fundamental Research
This set of lectures gives a synthetic exposition for the study of one-parameter bifurcation problems. By this, we mean the analysis of the structure of their set of solutions through the same type of general arguments in various situations.
(5545 views)
Book cover: Extremes and Recurrence in Dynamical SystemsExtremes and Recurrence in Dynamical Systems
by - arXiv
This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. It provides an overview of the area, underlining its relevance for mathematics, natural sciences, engineering, and social sciences.
(1956 views)
Book cover: Geometrical Theory of Dynamical SystemsGeometrical Theory of Dynamical Systems
by - arXiv
This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.
(7128 views)
Book cover: An Introduction to Dynamical Systems and ChaosAn Introduction to Dynamical Systems and Chaos
by - LDEO
This tutorial will develop the basics ingredients necessary for modeling simple non-linear dynamical systems. The goal is to demonstrate you that you can develop significant insight into the behavior of non-linear systems with just a little math.
(6906 views)