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Introduction to Nonlinear Science
Taschenbuch von Gregoire Nicolis (u. a.)
Sprache: Englisch

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Beschreibung
One of the most unexpected results in science in recent years is that quite ordinary systems obeying simple laws can give rise to complex, nonlinear or chaotic, behavior. In this book, the author presents a unified treatment of the concepts and tools needed to analyze nonlinear phenomena and to outline some representative applications drawn from the physical, engineering, and biological sciences. Some of the interesting topics covered include: dynamical systems with a finite number of degrees of freedom, linear stability analysis of fixed points, nonlinear behavior of fixed points, bifurcation analysis, spatially distributed systems, broken symmetries, pattern formation, and chaotic dynamics. The author makes a special effort to provide a logical connection between ordinary dynamical systems and spatially extended systems, and to balance the emphasis on chaotic behavior and more classical nonlinear behavior. He also develops a statistical approach to complex systems and compares it to traditional deterministic phase space descriptions. This book is suitable for senior undergraduate and graduate students taking nonlinear courses from many different perspectives including physics, chemistry, biology, and engineering.
One of the most unexpected results in science in recent years is that quite ordinary systems obeying simple laws can give rise to complex, nonlinear or chaotic, behavior. In this book, the author presents a unified treatment of the concepts and tools needed to analyze nonlinear phenomena and to outline some representative applications drawn from the physical, engineering, and biological sciences. Some of the interesting topics covered include: dynamical systems with a finite number of degrees of freedom, linear stability analysis of fixed points, nonlinear behavior of fixed points, bifurcation analysis, spatially distributed systems, broken symmetries, pattern formation, and chaotic dynamics. The author makes a special effort to provide a logical connection between ordinary dynamical systems and spatially extended systems, and to balance the emphasis on chaotic behavior and more classical nonlinear behavior. He also develops a statistical approach to complex systems and compares it to traditional deterministic phase space descriptions. This book is suitable for senior undergraduate and graduate students taking nonlinear courses from many different perspectives including physics, chemistry, biology, and engineering.
Inhaltsverzeichnis
Preface; 1. Nonlinear behavior in the physical sciences and biology: some typical examples; 2. Quantitative formulation; 3. Dynamical systems with a finite number of degrees of freedom; 4. Linear stability analysis of fixed points; 5. Nonlinear behavior around fixed points: bifurcation analysis; 6. Spatially distributed systems, broken symmetries, pattern formation; 7. Chaotic dynamics; Appendices; References; Index.
Details
Erscheinungsjahr: 2005
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521467827
ISBN-10: 0521467829
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Nicolis, Gregoire
Nicolis, G.
G, Nicolis
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 246 x 189 x 15 mm
Von/Mit: Gregoire Nicolis (u. a.)
Erscheinungsdatum: 02.03.2005
Gewicht: 0,532 kg
Artikel-ID: 106868130
Inhaltsverzeichnis
Preface; 1. Nonlinear behavior in the physical sciences and biology: some typical examples; 2. Quantitative formulation; 3. Dynamical systems with a finite number of degrees of freedom; 4. Linear stability analysis of fixed points; 5. Nonlinear behavior around fixed points: bifurcation analysis; 6. Spatially distributed systems, broken symmetries, pattern formation; 7. Chaotic dynamics; Appendices; References; Index.
Details
Erscheinungsjahr: 2005
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521467827
ISBN-10: 0521467829
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Nicolis, Gregoire
Nicolis, G.
G, Nicolis
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 246 x 189 x 15 mm
Von/Mit: Gregoire Nicolis (u. a.)
Erscheinungsdatum: 02.03.2005
Gewicht: 0,532 kg
Artikel-ID: 106868130
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