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Differential equations, dynamical systems, and an introduction to chaos

Author: Morris W Hirsch; Stephen Smale; Robert L Devaney
Publisher: Amsterdam ; Boston : Elsevier/Academic Press, ©2004.
Series: Pure and applied mathematics (Academic Press), 60.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Database:WorldCat
Summary:

Covers the dynamical aspects of ordinary differential equations and explores the relations between dynamical systems and certain fields outside pure mathematics. This book includes bifurcation  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Hirsch, Morris W., 1933-
Differential equations, dynamical systems, and an introduction to chaos.
San Diego, CA : Academic Press, ©2004
(DLC) 2003058255
(OCoLC)52631423
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Morris W Hirsch; Stephen Smale; Robert L Devaney
ISBN: 9780080491141 0080491146
OCLC Number: 156686669
Notes: Revised edition of: Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale. 1974.
Description: 1 online resource (xiv, 417 pages) : illustrations.
Contents: First Order Equations --
Planar Linear Systems --
Phase Portraits --
Classification of Planar Systems --
Higher Dimensional Linear Algebra --
Higher Dimensional Linear Systems --
Fundamental Theory --
Equilibria in Nonlinear Systems --
Nonlinear Techniques --
Closed Orbits and Limit Sets --
Applications in Biology --
Applications in Circuit Theory --. Applications in Mechanics --
The Lorenz System --
Applications in Other Fields --
Homoclinic Phenomana --
Discrete Dynamical Systems --
Higher Dimensional Discrete Systems.
Series Title: Pure and applied mathematics (Academic Press), 60.
Responsibility: Morris W. Hirsch, Stephen Smale, Robert L. Devaney.
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"The exposition is excellent. I particularly liked how the proofs are fairly easy to follow... There are several instances where 'What if...?' questions come up naturally and the authors explore Read more...

 
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