Introduction to Applied Nonlinear Dynamical Systems and Chaos - Couverture souple

Wiggins, Stephen

Couverture souple

ISBN 10 : 1441918078 ISBN 13 : 9781441918079

Editeur : Springer-Verlag New York Inc., 2010

Synopsis

<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>

A propos du livre

À propos de la quatrième de couverture

<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>

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 1441918078
• ISBN 13: 9781441918079
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 808
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne