Nonlinear oscillations, dynamical systems, and bifurcations of vector fields (Record no. 2138)

000 -LEADER
fixed length control field 02125nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240828121448.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190117b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0387908196
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA1
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Guckenheimer, John
245 ## - TITLE STATEMENT
Title Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York:
Name of publisher, distributor, etc. Springer Verlag,
Date of publication, distribution, etc. [c1983]
300 ## - Physical Description
Pages: 459 p.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction: Differential Equations and Dynamical Systems<br/>2. An Introduction to Chaos: Four Examples<br/>3. Local Bifurcations<br/>4. Averaging and Perturbation from a Geometric Viewpoint<br/>5. Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors<br/>6. Global Bifurcations<br/>7. Local Codimension Two Bifurcations of Flows
520 ## - SUMMARY, ETC.
Summary, etc. 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
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Holmes, Philip
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 3 01/17/2019 QA1 01484 Book