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Differential equations, dynamical systems, and an introduction to chaos.

Author: Morris W Hirsch; S Smale; Robert L Devaney
Publisher: Oxford : Academic, 2003.
Edition/Format:   Print book : English : 2nd ed.View 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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Document Type: Book
All Authors / Contributors: Morris W Hirsch; S Smale; Robert L Devaney
ISBN: 0123497035 9780123497031
OCLC Number: 52919423
Notes: Previous edition: published as by Morris W. Hirsch and Stephen Smale. 1974.
Description: 400 pages
Contents: First-order equations --
Planar linear systems --
Phase portraits for planar systems --
Classification of planar systems --
Higher dimensional linear algebra --
Higher dimensional linear systems --
Nonlinear systems --
Equilibria in nonlinear systems --
Global nonlinear techniques --
Closed orbits and limit sets --
Applications in biology --
Applications in circuit theory --
Applications in mechanics --
The Lorenz system --
Discrete dynamical systems --
Homoclinic phenomena --
Existence and uniqueness revisited.

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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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