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|a 0898719542
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|a OT66
|b SIAM
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|a (OCoLC)697888884
|z (OCoLC)228147905
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|z (OCoLC)970640430
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|a pcc
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|a MAIN
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|a QA614.8
|b .G68 2000
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|a Govaerts, Willy J. F.
|0 http://id.loc.gov/authorities/names/n99057562
|1 http://viaf.org/viaf/31331385
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|a Numerical methods for bifurcations of dynamical equilibria /
|c Willy J.F. Govaerts.
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|a Philadelphia, Pa. :
|b Society for Industrial and Applied Mathematics,
|c ©2000.
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300 |
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|a xxii, 362 pages :
|b illustrations ;
|c 26 cm
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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|a computer
|b c
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/c
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|a online resource
|b cr
|2 rdacarrier
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|a Includes bibliographical references and index.
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|a Access is restricted to subscribing institutions.
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|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.
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|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.
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|a Also available in print version.
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650 |
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|a Differentiable dynamical systems.
|0 http://id.loc.gov/authorities/subjects/sh85037882
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|a Differential equations
|x Numerical solutions.
|0 http://id.loc.gov/authorities/subjects/sh85037893
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|a Bifurcation theory.
|0 http://id.loc.gov/authorities/subjects/sh85013940
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650 |
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|a Bifurcation theory.
|2 fast
|0 (OCoLC)fst00831564
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650 |
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|a Differentiable dynamical systems.
|2 fast
|0 (OCoLC)fst00893426
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|a Differential equations
|x Numerical solutions.
|2 fast
|0 (OCoLC)fst00893451
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650 |
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|a Geometry.
|2 hilcc
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|a Mathematics.
|2 hilcc
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|a Physical Sciences & Mathematics.
|2 hilcc
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653 |
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|a Differentiable dynamical systems
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653 |
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|a Differential equations
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653 |
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|a Numerical solutions
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653 |
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|a Bifurcation theory
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655 |
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|a Electronic books.
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776 |
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|i Print version:
|a Govaerts, Willy J.F.
|t Numerical methods for bifurcations of dynamical equilibria.
|d Philadelphia, Pa. : Society for Industrial and Applied Mathematics, ©2000
|z 0898714427
|w (DLC) 99044796
|w (OCoLC)42290210
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903 |
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928 |
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|t Library of Congress classification
|a QA614.8 .G68 2000
|l Online
|c UC-FullText
|u https://epubs.siam.org/doi/book/10.1137/1.9780898719543
|z Society for Industrial and Applied Mathematics
|g ebooks
|i 12568705
|