Zur Startseite gehen
0,00 €*
Cover: 9780387001777 | Introduction to Applied Nonlinear Dynamical Systems and Chaos | Buch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Introduction to Applied Nonlinear Dynamical Systems and Chaos
Buch von Stephen Wiggins
Sprache: Englisch

111,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
Beschreibung
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as nume- cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, whichwill focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface to the Second Edition This edition contains a signi?cant amount of new material. The main r- son for this is that the subject of applied dynamical systems theory has seen explosive growth and expansion throughout the 1990s. Consequently, a student needs a much larger toolbox today in order to begin research on signi?cant problems.
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as nume- cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, whichwill focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface to the Second Edition This edition contains a signi?cant amount of new material. The main r- son for this is that the subject of applied dynamical systems theory has seen explosive growth and expansion throughout the 1990s. Consequently, a student needs a much larger toolbox today in order to begin research on signi?cant problems.
Zusammenfassung
This volume is intended for advanced undergraduate, graduates and researchers as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas which will enable students to take specific dynamical systems and obtain some quantitative information about the behaviour of these systems. The new edition has been updated and extended throughout and contains an extensive bibliography as well as a detailed glossary of terms.
Inhaltsverzeichnis
Equilibrium Solutions, Stability, and Linearized Stability.- Liapunov Functions.- Invariant Manifolds: Linear and Nonlinear Systems.- Periodic Orbits.- Vector Fields Possessing an Integral.- Index Theory.- Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows.- Asymptotic Behavior.- The Poincaré-Bendixson Theorem.- Poincaré Maps.- Conjugacies of Maps, and Varying the Cross-Section.- Structural Stability, Genericity, and Transversality.- Lagrange's Equations.- Hamiltonian Vector Fields.- Gradient Vector Fields.- Reversible Dynamical Systems.- Asymptotically Autonomous Vector Fields.- Center Manifolds.- Normal Forms.- Bifurcation of Fixed Points of Vector Fields.- Bifurcations of Fixed Points of Maps.- On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution.- The Smale Horseshoe.- Symbolic Dynamics.- The Conley-Moser Conditions, or "How to Prove That a Dynamical System is Chaotic".- Dynamics Near Homoclinic Points of Two-Dimensional Maps.- Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields.- Melnikov-s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields.- Liapunov Exponents.- Chaos and Strange Attractors.- Hyperbolic Invariant Sets: A Chaotic Saddle.- Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems.- Global Bifurcations Arising from Local Codimension-Two Bifurcations.- Glossary of Frequently Used Terms.
Details
Erscheinungsjahr: 2003
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 868
Reihe: Texts in Applied Mathematics
Inhalt: xxxviii
844 S.
ISBN-13: 9780387001777
ISBN-10: 0387001778
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wiggins, Stephen
Auflage: 2nd ed. 2003
Hersteller: Springer US
Springer New York
Texts in Applied Mathematics
Maße: 241 x 160 x 52 mm
Von/Mit: Stephen Wiggins
Erscheinungsdatum: 01.10.2003
Gewicht: 1,449 kg
preigu-id: 102571400
Zusammenfassung
This volume is intended for advanced undergraduate, graduates and researchers as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas which will enable students to take specific dynamical systems and obtain some quantitative information about the behaviour of these systems. The new edition has been updated and extended throughout and contains an extensive bibliography as well as a detailed glossary of terms.
Inhaltsverzeichnis
Equilibrium Solutions, Stability, and Linearized Stability.- Liapunov Functions.- Invariant Manifolds: Linear and Nonlinear Systems.- Periodic Orbits.- Vector Fields Possessing an Integral.- Index Theory.- Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows.- Asymptotic Behavior.- The Poincaré-Bendixson Theorem.- Poincaré Maps.- Conjugacies of Maps, and Varying the Cross-Section.- Structural Stability, Genericity, and Transversality.- Lagrange's Equations.- Hamiltonian Vector Fields.- Gradient Vector Fields.- Reversible Dynamical Systems.- Asymptotically Autonomous Vector Fields.- Center Manifolds.- Normal Forms.- Bifurcation of Fixed Points of Vector Fields.- Bifurcations of Fixed Points of Maps.- On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution.- The Smale Horseshoe.- Symbolic Dynamics.- The Conley-Moser Conditions, or "How to Prove That a Dynamical System is Chaotic".- Dynamics Near Homoclinic Points of Two-Dimensional Maps.- Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields.- Melnikov-s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields.- Liapunov Exponents.- Chaos and Strange Attractors.- Hyperbolic Invariant Sets: A Chaotic Saddle.- Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems.- Global Bifurcations Arising from Local Codimension-Two Bifurcations.- Glossary of Frequently Used Terms.
Details
Erscheinungsjahr: 2003
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 868
Reihe: Texts in Applied Mathematics
Inhalt: xxxviii
844 S.
ISBN-13: 9780387001777
ISBN-10: 0387001778
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wiggins, Stephen
Auflage: 2nd ed. 2003
Hersteller: Springer US
Springer New York
Texts in Applied Mathematics
Maße: 241 x 160 x 52 mm
Von/Mit: Stephen Wiggins
Erscheinungsdatum: 01.10.2003
Gewicht: 1,449 kg
preigu-id: 102571400
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Buch
Cover: 9780387984896 | Mathematical Control Theory | Deterministic Finite Dimensional Systems
Mathematical Control Theory
Deterministic Finite Dimensional Systems
EAN: 9780387984896
Von/Mit: Eduardo D. Sontag

67,95 €*

Lieferzeit 2-3 Wochen

Taschenbuch
Cover: 9780521019798 | Thermodynamics of One-Dimensional Solvable Models | Minoru Takahashi
Thermodynamics of One-Dimensional Solvable Models
EAN: 9780521019798
Sprache: Englisch
Von/Mit: Minoru Takahashi

64,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783764373368 | The Mathematics of the Bose Gas and its Condensation | Lieb (u. a.)
The Mathematics of the Bose Gas and its Condensation
EAN: 9783764373368
Sprache: Englisch
Von/Mit: Elliott H. Lieb (u. a.)

44,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783642637216 | Plasmaphysik | Eine Einführung | Wilhelm H. Kegel | Taschenbuch
Plasmaphysik
Eine Einführung
EAN: 9783642637216
Sprache: Deutsch
Von/Mit: Wilhelm H. Kegel

46,99 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783642736902 | From Chemical to Biological Organization | Mario Markus (u. a.) | Buch
From Chemical to Biological Organization
EAN: 9783642736902
Sprache: Englisch
Von/Mit: Mario Markus (u. a.)

55,20 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9789814374910 | Quantum Dissipative Systems | Ulrich Weiss | Taschenbuch | Paperback
QUANTUM DISSIPATIVE SYS (4TH ED)
EAN: 9789814374910
Sprache: Englisch
Von/Mit: Ulrich Weiss

96,15 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9781441930729 | Finite Reflection Groups | C. T. Benson (u. a.) | Taschenbuch | X
Finite Reflection Groups
EAN: 9781441930729
Sprache: Englisch
Von/Mit: C. T. Benson (u. a.)

48,95 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9783319309385 | Quantum Field Theory I | Edouard B. Manoukian | Buch | XX | Englisch
Quantum Field Theory I
Foundations and Abelian and Non-Abelian Gauge Theories
EAN: 9783319309385
Von/Mit: Edouard B. Manoukian

75,70 €*

Lieferzeit 2-3 Wochen

Taschenbuch
Cover: 9783030515621 | An Introduction to the Confinement Problem | Jeff Greensite | Buch
An Introduction to the Confinement Problem
EAN: 9783030515621
Sprache: Englisch
Von/Mit: Jeff Greensite

66,40 €*

Lieferzeit 4-7 Werktage

Buch
Cover: 9783031161384 | The Geometry of Spacetime | Rainer Oloff | Buch | XIX | Englisch
The Geometry of Spacetime
A Mathematical Introduction to Relativity Theory
EAN: 9783031161384
Sprache: Englisch
Von/Mit: Rainer Oloff

83,60 €*

Lieferzeit 2-3 Wochen

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...