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in00003551985 |
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m o d |
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cr cnu---unuuu |
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140711s1983 nyua ob 001 0 eng d |
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20260420200449.0 |
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|a 9781461211402 (electronic bk.)
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|a 1461211409 (electronic bk.)
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|z 0387908196
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|z 9780387908199
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|z 3540908196
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|z 9783540908197
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|a 10.1007/978-1-4612-1140-2
|2 doi
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|a (OCoLC)883383500
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|a GW5XE
|b eng
|e rda
|e pn
|c GW5XE
|d UtOrBLW
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|a TXAM
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|a QA1
|b .A647 vol. 42eb
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|a 510
|2 22
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|a 33.27
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|a 27
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|a 30.20
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|a Guckenheimer, John.
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|a Nonlinear oscillations, dynamical systems, and bifurcations of vector fields /
|c John Guckenheimer, Philip Holmes.
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| 264 |
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|a New York :
|b Springer-Verlag,
|c [1983]
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|c ©1983
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|a 1 online resource (xvi, 459 .) :
|b illustrations.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Applied mathematical sciences ;
|v volume 42
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|a Includes bibliographical references (pages [433]-447) and index.
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|a 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.
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| 520 |
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|a 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.
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| 588 |
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|a Description based on print version record.
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| 650 |
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0 |
|a Nonlinear oscillations.
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| 650 |
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|a Differentiable dynamical systems.
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| 650 |
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|a Bifurcation theory.
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| 650 |
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|a Vector fields.
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| 650 |
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|a théorie bifurcation.
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|a bifurcation.
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| 650 |
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|a équation différentielle.
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|a champ vectoriel.
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| 650 |
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|a oscillation non linéaire.
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| 650 |
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|a système dynamique.
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| 650 |
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6 |
|a Oscillations non linéaires.
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| 650 |
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6 |
|a Dynamique différentiable.
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| 650 |
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6 |
|a Bifurcation, Théorie de la.
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| 650 |
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6 |
|a Champs vectoriels.
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| 650 |
|
7 |
|a Vibrações.
|2 larpcal
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| 650 |
|
7 |
|a Acustica, Vibracao E Ultrasons.
|2 larpcal
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| 650 |
1 |
7 |
|a Niet-lineaire theorieën.
|2 gtt
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| 650 |
1 |
7 |
|a Bifurcatie.
|2 gtt
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| 650 |
1 |
7 |
|a Vectorvelden.
|2 gtt
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| 650 |
1 |
7 |
|a Niet-lineaire dynamica.
|2 gtt
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| 650 |
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7 |
|a Dynamique différentiable.
|2 ram
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| 650 |
|
7 |
|a Oscillations non linéaires.
|2 ram
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| 650 |
|
7 |
|a Champs vectoriels.
|2 ram
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| 650 |
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7 |
|a Bifurcation, Théorie de la.
|2 ram
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| 650 |
|
7 |
|a Bifurcation theory.
|2 fast
|0 (OCoLC)fst00831564
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| 650 |
|
7 |
|a Differentiable dynamical systems.
|2 fast
|0 (OCoLC)fst00893426
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| 650 |
|
7 |
|a Nonlinear oscillations.
|2 fast
|0 (OCoLC)fst01038804
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| 650 |
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7 |
|a Vector fields.
|2 fast
|0 (OCoLC)fst01164665
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| 655 |
|
7 |
|a Electronic books.
|2 local
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| 700 |
1 |
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|a Holmes, Philip,
|d 1945-
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 776 |
1 |
8 |
|i Print version:
|a Guckenheimer, John.
|t Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
|z 0387908196
|w (DLC) 82019641
|w (OCoLC)9110889
|
| 830 |
|
0 |
|a Applied mathematical sciences (Springer-Verlag New York Inc.) ;
|v v. 42.
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://link.springer.com/10.1007/978-1-4612-1140-2
|z Connect to the full text of this electronic book
|t 0
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| 994 |
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|a 92
|b TXA
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| 999 |
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|a MARS
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| 999 |
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|t 0
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| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|s www_evans
|d Available Online
|t 0
|e QA1 .A647 vol. 42eb
|h Library of Congress classification
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| 998 |
f |
f |
|a QA1 .A647 vol. 42eb
|t 0
|l Available Online
|