Introduction to Applied Nonlinear Dynamical Systems and Chaos. Second Edition

Wiggins, Stephen -

ISBN 10: 0387001778 / ISBN 13: 9780387001777

Editore: New York: Springer (Texts in Applied Mathematics, 2), 2003

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Formateinband: Pappband / gebundene Ausgabe XIX, 843 S. (24 cm) Gebundene Ausgabe; Second Edition; Gut und sauber erhalten. Preiskleberrest am Hinterdeckel. Sprache: Englisch Gewicht in Gramm: 1900 [Stichwörter: LOC-SH: Differentiable dynamical systems ; Physics ; Engineering ; Ergodic theory. ; Applied mathematics. ; Dynamics. ; Statistical physics. ; Mathematics ; Engineering mathematics ; Dynamical systems. ; System theory. ; Engineeringâ??Data processing. ; Mathematical physics.].

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Dati bibliografici

• Titolo: Introduction to Applied Nonlinear Dynamical Systems and Chaos. Second Edition
• Editore: New York: Springer (Texts in Applied Mathematics, 2)
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0387001778
• ISBN 13: 9780387001777
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: Gut
• Peso: 1900 grammi
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

<p>This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms.</p><p>From the reviews:</p><p>"Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik</p>

Dalla quarta di copertina

<p>This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas&nbsp;that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics. </p><p>This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed&nbsp;glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.</p>