
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
Dynamical Systems and Chaosby Evans M. Harrell II
Class notes for an introductory course on dynamical systems and chaos for mathematicians, physicists, and engineers. The text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos.
(16773 views)
Complex Dynamics and Renormalizationby Curtis T. McMullen - Princeton University Press
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics.
(10767 views)
An Introduction to Quantum Chaosby Mason A. Porter - 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.
(14912 views)
Dynamics, Ergodic Theory, and Geometryby Boris Hasselblatt - Cambridge University Press
This book contains articles in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; etc.
(17997 views)