000 02470nam a22003978i 4500
001 CR9780511665639
003 UkCbUP
005 20200124160330.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091217s1994||||enk o ||1 0|eng|d
020 _a9780511665639 (ebook)
020 _z9780521372268 (hardback)
020 _z9780521102230 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA372
_b.C548 1994
082 0 0 _a515/.35
_220
100 1 _aChow, Shui-Nee,
_eauthor.
245 1 0 _aNormal forms and bifurcation of planar vector fields /
_cShui-Nee Chow, Chengzhi Li, Duo Wang.
246 3 _aNormal Forms & Bifurcation of Planar Vector Fields
264 1 _aCambridge :
_bCambridge University Press,
_c1994.
300 _a1 online resource (viii, 472 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aCh. 1. Center Manifolds -- Ch. 2. Normal Forms -- Ch. 3. Codimension One Bifurcations -- Ch. 4. Codimension Two Bifurcations -- Ch. 5. Bifurcations with Codimension Higher than Two.
520 _aThis 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.
650 0 _aBifurcation theory.
650 0 _aVector fields.
650 0 _aNormal forms (Mathematics)
700 1 _aLi, Chengzhi,
_eauthor.
700 1 _aWang, Duo,
_eauthor.
776 0 8 _iPrint version:
_z9780521372268
856 4 0 _uhttps://doi.org/10.1017/CBO9780511665639
999 _c522499
_d522497