000			02835nam a22003615i 4500
001			280702
003			MX-SnUAN
005			20160429154035.0
007			cr nn 008mamaa
008			150903s2009 xxu| o |||| 0|eng d
020			_a9780817647278 _99780817647278
024	7		_a10.1007/9780817647278 _2doi
035			_avtls000333625
039		9	_a201509030803 _bVLOAD _c201404130502 _dVLOAD _c201404092251 _dVLOAD _y201402041115 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
100	1		_aShafer, Douglas. _eautor _9305822
245	1	4	_aThe Center and Cyclicity Problems : _bA Computational Algebra Approach / _cby Douglas Shafer, Valery Romanovski.
264		1	_aBoston : _bBirkhäuser Boston, _c2009.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPolynomial Ideals and Their Varieties -- Stability and Normal Forms -- The Center Problem -- The Isochronicity and Linearizability Problems -- Invariants of the Rotation Group -- Bifurcations of Limit Cycles and Critical Periods.
520			_aIn the last three decades, advances in methods for investigating polynomial ideals and their varieties have provided new possibilities for approaching two long-standing problems in the theory of differential equations: the Poincaré center problem and the cyclicity problem (the problem of bifurcation of limit cycles from singular trajectories). Using a computational algebra approach, this work addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The text first lays the groundwork for computational algebra and gives the main properties of ideals in polynomial rings and their affine varieties; this is followed by a discussion regarding the theory of normal forms and stability of differential equations. The center and cyclicity problems are then explored in detail. The book contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography. Completely self-contained, it is thus suitable mainly as a textbook for a graduate course in the subject but also as a reference for researchers.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aRomanovski, Valery. _eautor _9305823
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817647261
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4727-8 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280702 _d280702