{"product_id":"numerical-methods-for-bifurcations-of-dynamical-equilibria-paperback-softback-9780898714425","title":"Numerical Methods for Bifurcations of Dynamical Equilibria (Paperback \/ softback) 9780898714425","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNumerical Methods for Bifurcations of Dynamical Equilibria\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eNumerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWilly J.f. Govaerts (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898714425\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 31 January 2000\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e384 pages\u003cbr\u003e26.1 x 18.5 x 2.5 cm, 0.676 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDynamical 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Notation\u003cbr\u003e Introduction\u003cbr\u003e 1. Examples and Motivation\u003cbr\u003e 2. Manifolds and Numerical Continuation\u003cbr\u003e 3. Bordered Matrices\u003cbr\u003e 4. Generic Equilibrium Bifurcations in One-Parameter Problems\u003cbr\u003e 5. Bifurcations Determined by the Jordan Form of the Jacobian\u003cbr\u003e 6. Singularity Theory\u003cbr\u003e 7. Singularity Theory with a Distinguished Bifurcation Parameter\u003cbr\u003e 8. Symmetry-Breaking Bifurcations\u003cbr\u003e 9. Bifurcations with Degeneracies in the Nonlinear Terms\u003cbr\u003e 10. An Introduction to Large Dynamical Systems\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52410746601752,"sku":"9780898714425","price":75.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898714425I.jpg?v=1784251366","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/numerical-methods-for-bifurcations-of-dynamical-equilibria-paperback-softback-9780898714425","provider":"Freshly Printed Books","version":"1.0","type":"link"}