**Ordinary Differential Equations and Dynamical Systems**

by Gerald Teschl

**Publisher**: Universitaet Wien 2009**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.

Download or read it online for free here:

**Download link**

(3MB, PDF)

## Similar books

**Lectures on Topics In One-Parameter Bifurcation Problems**

by

**P. Rabier**-

**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)

**Extremes and Recurrence in Dynamical Systems**

by

**Valerio Lucarini, et al.**-

**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)

**Geometrical Theory of Dynamical Systems**

by

**Nils Berglund**-

**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)

**An Introduction to Dynamical Systems and Chaos**

by

**Marc Spiegelman**-

**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)