Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Record no. 13554)

MARC details
000 -LEADER
fixed length control field 02663nmm a22002295i 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230705150623.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 131112s1983 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461211402
-- 978-1-4612-1140-2
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Guckenheimer, John.
9 (RLIN) 19692
245 ## - TITLE STATEMENT
Title Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Medium [electronic resource] /
Statement of responsibility, etc. by John Guckenheimer, Philip Holmes.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 1983.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York, NY :
Name of publisher, distributor, etc. Springer New York :
-- Imprint: Springer,
Date of publication, distribution, etc. 1983.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 462 p.
Other physical details online resource.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Contents: Introduction: Differential Equations and Dynamical Systems -- An Introduction to Chaos: Four Examples -- Local Bifurcations -- Averaging and Perturbation from a Geometric Viewpoint -- Hyperbolic Sets, Sympolic Dynamics, and Strange Attractors -- Global Bifurcations -- Local Codimension Two Bifurcations of Flows -- Appendix: Suggestions for Further Reading. Postscript Added at Second Printing. Glossary. References. Index.
520 ## - SUMMARY, ETC.
Summary, etc. From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical analysis.
9 (RLIN) 19693
Topical term or geographic name entry element Analysis.
9 (RLIN) 19694
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Holmes, Philip.
Relator term author.
Relationship aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 19695
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-1-4612-1140-2">https://doi.org/10.1007/978-1-4612-1140-2</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type e-Book
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     S. R. Ranganathan Learning Hub S. R. Ranganathan Learning Hub Online 2023-07-05 Infokart India Pvt. Ltd., New Delhi   515 EB1430 2023-07-05 2023-07-05 e-Book