Differential Equations, Dynamical Systems, and an Introduction to Chaos [3rd edition] 9780123820112, 0123820111

Chapter 1 First-order equations -- chapter 2 Planar linear systems -- chapter 3 Phase portraits for planar systems -- ch

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English Pages (xiv, 418 pages :) : illustrations Year 2013;2012

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Differential Equations, Dynamical Systems, and an Introduction to Chaos [3rd edition]
 9780123820112, 0123820111

Table of contents :
Chapter 1 First-order equations --
chapter 2 Planar linear systems --
chapter 3 Phase portraits for planar systems --
chapter 4 Classification on planar systems --
chapter 5 Higher-dimensional linear algebra --
chapter 6 Higher-dimensional linear systems --
chapter 7 Nonlinear systems --
chapter 8 Equilibria in nonlinear systems --
chapter 9 Global nonlinear techniques --
chapter 10 Closed orbits and limit sets --
chapter 11 Applications in biology --
chapter 12 Applications in circuit theory --
chapter 13 Applications in mechanics --
chapter 14 The Lorenz system --
chapter 15 Discrete dynamical systems --
chapter 16 Homoclinic phenomena --
chapter 17 Existence and uniqueness revisited.

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