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

作者: Morris W Hirsch; S Smale; Robert L Devaney
出版商: Oxford : Academic, 2003.
版本/格式:   Print book : 英語 : 2nd ed.所有版本和格式的總覽
資料庫:WorldCat
提要:

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  再讀一些...

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文件類型: 圖書
所有的作者/貢獻者: Morris W Hirsch; S Smale; Robert L Devaney
ISBN: 0123497035 9780123497031
OCLC系統控制編碼: 52919423
注意: Previous edition: published as by Morris W. Hirsch and Stephen Smale. 1974.
描述: 400 pages
内容: 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 再讀一些...

 
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