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