Central Library

Introduction to Applied Nonlinear Dynamical Systems and Chaos (Record no. 81653)

000 -LEADER
fixed length control field 04959nam a22006135i 4500
001 - CONTROL NUMBER
control field 978-0-387-21749-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221102211531.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2003 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387217499
-- 978-0-387-21749-9
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/b97481
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA843-871
072 #7 - SUBJECT CATEGORY CODE
Subject category code GPFC
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code GPFC
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Wiggins, Stephen.
Relator term author.
Relationship aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 66470
245 10 - TITLE STATEMENT
Title Introduction to Applied Nonlinear Dynamical Systems and Chaos
Medium [electronic resource] /
Statement of responsibility, etc. by Stephen Wiggins.
250 ## - EDITION STATEMENT
Edition statement 2nd ed. 2003.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2003.
300 ## - PHYSICAL DESCRIPTION
Extent XXXVIII, 844 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Texts in Applied Mathematics,
International Standard Serial Number 2196-9949 ;
Volume/sequential designation 2
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc. 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 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. 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 glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Dynamical systems.
9 (RLIN) 66471
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics.
9 (RLIN) 11584
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element System theory.
9 (RLIN) 3409
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Engineering mathematics.
9 (RLIN) 3254
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Engineering—Data processing.
9 (RLIN) 31556
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical physics.
9 (RLIN) 11013
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Dynamical Systems.
9 (RLIN) 66472
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Applications of Mathematics.
9 (RLIN) 31558
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Complex Systems.
9 (RLIN) 18136
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical and Computational Engineering Applications.
9 (RLIN) 31559
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Theoretical, Mathematical and Computational Physics.
9 (RLIN) 31560
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
9 (RLIN) 66473
773 0# - HOST ITEM ENTRY
Title Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781441918079
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387001777
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781475779042
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Texts in Applied Mathematics,
International Standard Serial Number 2196-9949 ;
Volume/sequential designation 2
9 (RLIN) 66474
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/b97481">https://doi.org/10.1007/b97481</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eTextbook

No items available.