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

저자: Morris W Hirsch; S Smale; Robert L Devaney
출판사: Oxford : Academic, 2003.
판/형식:   인쇄본 : 영어 : 2nd ed.모든 판과 형식 보기
데이터베이스:WorldCat
요약:

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  더 읽기…

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문서 유형 도서
모든 저자 / 참여자: Morris W Hirsch; S Smale; Robert L Devaney
ISBN: 0123497035 9780123497031
OCLC 번호: 52919423
메모: Previous edition: published as by Morris W. Hirsch and Stephen Smale. 1974.
설명: 400 pages
내용: 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...a readable and informative text." - Gareth Roberts, Holy Cross"..from three mathematicians who 더 읽기…

 
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