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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-Contributor(s): Smale, Stephen, 1930- | Devaney, Robert L, 1948- | Hirsch, Morris W, 1933-. Differential equations, dynamical systems, and linear algebraMaterial type: TextTextSeries: Pure and applied mathematics (Academic Press) ; 60.Publication details: Amsterdam ; Boston : Elsevier/Academic Press, ©2004. Edition: 2nd edDescription: 1 online resource (xiv, 417 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9780080491141; 0080491146Subject(s): Differential equations | Algebras, Linear | Chaotic behavior in systems | MATHEMATICS -- Differential Equations -- General | Algebras, Linear | Chaotic behavior in systems | Differential equations | Differentiaalvergelijkingen | Dynamische systemen | Chaos | Sistemas dinâmicos | Equações diferenciais ordinárias (textos avançados) | Análise matemáticaGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Differential equations, dynamical systems, and an introduction to chaos.DDC classification: 515/.35 LOC classification: QA372 | .H67 2004ebOnline resources: Click here to access online
Contents:
First Order Equations -- Planar Linear Systems -- Phase Portraits -- Classification of Planar Systems -- Higher Dimensional Linear Algebra -- Higher Dimensional Linear Systems -- Fundamental Theory -- Equilibria in Nonlinear Systems -- Nonlinear Techniques -- Closed Orbits and Limit Sets -- Applications in Biology -- Applications in Circuit Theory --. Applications in Mechanics -- The Lorenz System -- Applications in Other Fields -- Homoclinic Phenomana -- Discrete Dynamical Systems -- Higher Dimensional Discrete Systems.
Summary: Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
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Revised edition of: Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale. 1974.

Includes bibliographical references (pages 407-409) and index.

First Order Equations -- Planar Linear Systems -- Phase Portraits -- Classification of Planar Systems -- Higher Dimensional Linear Algebra -- Higher Dimensional Linear Systems -- Fundamental Theory -- Equilibria in Nonlinear Systems -- Nonlinear Techniques -- Closed Orbits and Limit Sets -- Applications in Biology -- Applications in Circuit Theory --. Applications in Mechanics -- The Lorenz System -- Applications in Other Fields -- Homoclinic Phenomana -- Discrete Dynamical Systems -- Higher Dimensional Discrete Systems.

Print version record.

Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.

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