{"product_id":"normal-forms-and-bifurcation-of-planar-vector-fields-hardback-9780521372268","title":"Normal Forms and Bifurcation of Planar Vector Fields (Hardback) 9780521372268","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNormal Forms and Bifurcation of Planar Vector Fields\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eShui-Nee Chow (Author), Chengzhi Li (Author), Duo Wang (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521372268, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 29 July 1994\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e484 pages, 102 b\/w illus.\u003cbr\u003e22.9 x 15.2 x 3.2 cm, 0.85 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...The presentation in the book enters into fine detail and is rather complete...\"   Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3–5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and\/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Center manifolds\u003cbr\u003e 2. Normal forms\u003cbr\u003e 3. Codimension one bifurcations\u003cbr\u003e 4. Codimension two bifurcations\u003cbr\u003e 5. Bifurcations with codimension higher that two\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Differential \u0026amp; Riemannian geometry [\u003ca title=\"See our other books on Differential \u0026amp; Riemannian geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20\u0026amp;%20Riemannian%20geometry%20%5BPBMP%5D%22\"\u003ePBMP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46007148085528,"sku":"9780521372268","price":107.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521372268i_5835ec6b-feef-49bd-91d0-aa29a9f0d471.jpg?v=1691375976","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/normal-forms-and-bifurcation-of-planar-vector-fields-hardback-9780521372268","provider":"Freshly Printed Books","version":"1.0","type":"link"}