000			03131nam a22005295i 4500
001			978-0-85729-112-7
003			DE-He213
005			20140220083712.0
007			cr nn 008mamaa
008			101123s2011 xxk| s |||| 0|eng d
020			_a9780857291127 _9978-0-85729-112-7
024	7		_a10.1007/978-0-85729-112-7 _2doi
050		4	_aQA313
072		7	_aPBWR _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aHaragus, Mariana. _eauthor.
245	1	0	_aLocal Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems _h[electronic resource] / _cby Mariana Haragus, Gérard Iooss.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXI, 329 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aElementary Bifurcations -- Center Manifolds -- Normal Forms -- Reversible Bifurcations -- Applications -- Appendix.
520			_aAn extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics. Starting with the simplest bifurcation problems arising for ordinary differential equations in one- and two-dimensions, this book describes several tools from the theory of infinite dimensional dynamical systems, allowing the reader to treat more complicated bifurcation problems, such as bifurcations arising in partial differential equations. Attention is restricted to the study of local bifurcations with a focus upon the center manifold reduction and the normal form theory; two methods that have been widely used during the last decades. Through use of step-by-step examples and exercises, a number of possible applications are illustrated, and allow the less familiar reader to use this reduction method by checking some clear assumptions. Written by recognised experts in the field of center manifold and normal form theory this book provides a much-needed graduate level text on bifurcation theory, center manifolds and normal form theory. It will appeal to graduate students and researchers working in dynamical system theory.
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aPartial Differential Equations.
650	2	4	_aApplications of Mathematics.
650	2	4	_aNonlinear Dynamics.
700	1		_aIooss, Gérard. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857291110
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-112-7
912			_aZDB-2-SMA
999			_c105132 _d105132