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: Geometrical Theory of Dynamical SystemsGeometrical Theory of Dynamical Systems
by - 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.
(5766 views)
Book cover: Mathematical Principals of Dynamic Systems and the Foundations of Quantum PhysicsMathematical Principals of Dynamic Systems and the Foundations of Quantum Physics
by - 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.
(5672 views)
Book cover: Computable IntegrabilityComputable Integrability
by - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(4289 views)
Book cover: Ergodic Optimization, Zero Temperature Limits and the Max-plus AlgebraErgodic Optimization, Zero Temperature Limits and the Max-plus Algebra
by - arXiv
We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.
(2451 views)