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Ordinary Differential Equations and Dynamical Systems

By Teschl, Gerald

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Book Id: WPLBN0003761616
Format Type: PDF eBook :
File Size:
Reproduction Date: 2015

Title: Ordinary Differential Equations and Dynamical Systems  
Author: Teschl, Gerald
Volume:
Language: English
Subject: Programming, Mathematics, Differential Equations
Collections: Technical Books Center
Historic
Publication Date:
Publisher: University of Miami

Description
Description: The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton�s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in the complex domain, Boundary value problems, Dynamical systems, Planar dynamical systems, Higher dimensional dynamical systems, Local behavior near fixed points, Chaos, Discrete dynamical systems, Discrete dynamical systems in one dimension, Periodic solutions, Chaos in higher dimensional systems.

 

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