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Ordinary differential equations with applications

Author: Carmen Charles Chicone
Publisher: New York ; Berlin : Springer, ©2006.
Series: Texts in applied mathematics, 34.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Publication:Springer e-books
Summary:
This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Chicone, Carmen Charles.
Ordinary differential equations with applications.
New York ; Berlin : Springer, ©2006
(DLC) 2005937072
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Carmen Charles Chicone
ISBN: 9780387307695 0387307699 9780387357942 0387357947
OCLC Number: 288193020
Description: 1 online resource (xix, 623 pages) : illustrations.
Contents: Introduction to ordinary differential equations --
Linear systems and stability of nonlinear systems --
Applications --
Hyperbolic theory --
Continuation of periodic solutions --
Homoclinic orbits, Melnikov's Method, and chaos --
Averaging --
Local bifurcation.
Series Title: Texts in applied mathematics, 34.
Responsibility: Carmen Chicone.
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Abstract:

Presents an introduction to the language of ODEs. This book also considers its origins and applications. It provides connections between the theory and other advanced mathematical topics.  Read more...

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