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
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.
(9366 views)
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.
(9366 views)
Fractal Analysis
by Sid-Ali Ouadfeul (ed.) - InTech
The aim of this book is to show some applications of fractal analysis in the sciences. The first chapter introduces the readers to the book, while the second chapter shows the methods and challenges of fractal analysis of time-series data sets...
(5565 views)
by Sid-Ali Ouadfeul (ed.) - InTech
The aim of this book is to show some applications of fractal analysis in the sciences. The first chapter introduces the readers to the book, while the second chapter shows the methods and challenges of fractal analysis of time-series data sets...
(5565 views)
Mathematical Principles of Dynamic Systems and the Foundations of Quantum Physics
by Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(11628 views)
by Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
(11628 views)
Dynamical Systems
by Shlomo Sternberg - 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.
(11050 views)
by Shlomo Sternberg - 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.
(11050 views)