**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

**The Chaos Hypertextbook**

by

**Glenn Elert**

This book is written for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians.

(

**10392**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.

(

**7612**views)

**Variational Modelling: Energies, gradient flows, and large deviations**

by

**Mark A. Peletier**-

**arXiv**

The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.

(

**5740**views)

**Invitation to Dynamical Systems**

by

**Edward R. Scheinerman**-

**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.

(

**12848**views)