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: An Introduction to Quantum ChaosAn Introduction to Quantum Chaos
by - arXiv
Nonlinear dynamics (''chaos theory'') and quantum mechanics are two of the scientific triumphs of the 20th century. The author gives a brief review of the origin and fundamentals of both quantum mechanics and nonlinear dynamics.
(7429 views)
Book cover: Around the Boundary of Complex DynamicsAround the Boundary of Complex Dynamics
by - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
(2409 views)
Book cover: A Short Introduction to Classical and Quantum Integrable SystemsA Short Introduction to Classical and Quantum Integrable Systems
by
An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.
(7198 views)
Book cover: Dynamical SystemsDynamical Systems
by - OER Commons
This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.
(5790 views)