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Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney.

By: Hirsch, Morris W, 1933- [autor].
Contributor(s): Smale, Stephen, 1930- [autor] | Devaney, Robert L, 1948- [autor].
San Diego, California : Academic Press (Elsevier), 2004Edition: Second edition.Description: xiv, 417 pages. : illustrations. ; 24 cm.Content type: texto Media type: no mediado Carrier type: volumenISBN: 9780123497031.Subject(s): Differential equations | Algebras, Linear | Chaotic behavior in systems | Ecuaciones diferenciales | Álgebras lineales | Comportamiento caótico en sistemasDDC classification: 515.35 /
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 systems -- Discrete dynamical systems -- Homoclinic phenomena -- Existence and uniqueness revisited -- Bibliography --
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Includes bibliographical references (p. 407-409) and index.

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 systems -- Discrete dynamical systems -- Homoclinic phenomena -- Existence and uniqueness revisited -- Bibliography --

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