Numerical Methods for Bifurcations of Dynamical Equilibria - Willy J. F. Govaerts .pdf .fb2 .epub electroinc books

Numerical Methods for Bifurcations of Dynamical Equilibria by Willy J. F. Govaerts

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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. Several features make this book unique. The first is the systematic use of bordered matrix methods in the numerical computation and continuation of various bifurcations. The second is a detailed treatment of bialternate matrix products and their Jordan structure. Govaerts discusses their use in the numerical methods for Hopf and related bifurcations. A third feature is a unified treatment of singularity theory, with and without a distinguished bifurcation parameter, from a numerical point of view. Finally, numerical methods for symmetry-breaking bifurcations are discussed in detail, up to fundamental cases covered by the equivariant branching lemma.


ISBN: 0898714427

Rating: 4.2/5

Votes: 273

Format: odf, lit, fb2, ibooks, mobi, cb7, azf

ISBN13: 978-0898714425

Publisher: Society for Industrial and Applied Mathematics (January 1, 1987)

Language: English

Subcategory: Mathematics

Numerical Methods for Bifurcations of Dynamical Equilibria
Science & Math
Author: Willy J. F. Govaerts
Title: Numerical Methods for Bifurcations of Dynamical Equilibria