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

著者: Morris W Hirsch; S Smale; Robert L Devaney
出版: Oxford : Academic, 2003.
エディション/フォーマット:   book_printbook : English : 2nd ed.すべてのエディションとフォーマットを見る
データベース:WorldCat
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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  続きを読む

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ドキュメントの種類: 図書
すべての著者/寄与者: Morris W Hirsch; S Smale; Robert L Devaney
ISBN: 0123497035 9780123497031
OCLC No.: 52919423
注記: Previous edition: published as by Morris W. Hirsch and Stephen Smale. 1974.
物理形態: 400 pages
コンテンツ: 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 続きを読む

 
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