Numerical methods for bifurcations of dynamical equilibria /

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Bibliographic Details
Author / Creator:Govaerts, Willy J. F.
Imprint:Philadelphia, Pa. : Society for Industrial and Applied Mathematics, ©2000.
Description:xxii, 362 pages : illustrations ; 26 cm
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12577321
Hidden Bibliographic Details
ISBN:0898714427
9780898714425
9780898719543
0898719542
Notes:Includes bibliographical references and index.
Access is restricted to subscribing institutions.
Also available in print version.
Summary:Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.
Other form:Print version: Govaerts, Willy J.F. Numerical methods for bifurcations of dynamical equilibria. Philadelphia, Pa. : Society for Industrial and Applied Mathematics, ©2000 0898714427
Publisher's no.:OT66 SIAM

MARC

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245 1 0 |a Numerical methods for bifurcations of dynamical equilibria /  |c Willy J.F. Govaerts. 
260 |a Philadelphia, Pa. :  |b Society for Industrial and Applied Mathematics,  |c ©2000. 
300 |a xxii, 362 pages :  |b illustrations ;  |c 26 cm 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
337 |a computer  |b c  |2 rdamedia  |0 http://id.loc.gov/vocabulary/mediaTypes/c 
338 |a online resource  |b cr  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/cr 
504 |a Includes bibliographical references and index. 
506 |a Access is restricted to subscribing institutions. 
505 0 |a Preface -- Notation -- Introduction -- 1. Examples and motivation -- 2. Manifolds and numerical continuation -- 3. Bordered matrices -- 4. Generic equilibrium bifurcations in one-parameter problems -- 5. Bifurcations determined by the Jordan form of the Jacobian -- 6. Singularity theory -- 7. Singularity theory with a distinguished bifurcation parameter -- 8. Symmetry-breaking bifurcations -- 9. Bifurcations with degeneracies in the nonlinear terms -- 10. An introduction to large dynamical systems -- Bibliography -- Index. 
520 3 |a Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra. 
530 |a Also available in print version. 
650 0 |a Differentiable dynamical systems.  |0 http://id.loc.gov/authorities/subjects/sh85037882 
650 0 |a Differential equations  |x Numerical solutions.  |0 http://id.loc.gov/authorities/subjects/sh85037893 
650 0 |a Bifurcation theory.  |0 http://id.loc.gov/authorities/subjects/sh85013940 
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650 7 |a Differentiable dynamical systems.  |2 fast  |0 (OCoLC)fst00893426 
650 7 |a Differential equations  |x Numerical solutions.  |2 fast  |0 (OCoLC)fst00893451 
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650 7 |a Mathematics.  |2 hilcc 
650 7 |a Physical Sciences & Mathematics.  |2 hilcc 
653 |a Differentiable dynamical systems 
653 |a Differential equations 
653 |a Numerical solutions 
653 |a Bifurcation theory 
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