000			02949nam a22004575i 4500
001			978-0-387-35215-2
003			DE-He213
005			20250710083955.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387352152 _a99780387352152
024	7		_a10.1007/978-0-387-35215-2 _2doi
082	0	4	_a515.352 _223
100	1		_aReyn, John. _eauthor.
245	1	0	_aPhase Portraits of Planar Quadratic Systems _h[recurso electrónico] / _cby John Reyn.
264		1	_aBoston, MA : _bSpringer US, _c2007.
300			_aXVI, 334 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematics and Its Applications ; _v583
505	0		_aCritical points in quadratic systems -- Isoclines, critical points and classes of quadratic systems -- Analyzing phase portraits of quadratic systems -- Phase portraits of quadratic systems in the class mf=0 -- Quadratic systems with center points -- Limit cycles in quadratic systems -- Phase portraits of quadratic systems in the class mf=1 -- Phase portraits of quadratic systems in the class mf=2 -- Phase portraits of quadratic systems in the class mf=3 -- Phase portraits of quadratic systems in the class mf=4.
520			_aAlthough some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers on the subject. This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to the historical development of the subject. The book organizes the portraits into classes, using the notions of finite and infinite multiplicity and finite and infinite index. Classifications of phase portraits for various classes are given using the well-known methods of phase plane analysis. Audience This book is intended for mathematics graduate students and researchers studying quadratic systems.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aGENETICS _xMATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
650	2	4	_aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650	2	4	_aGENETICS AND POPULATION DYNAMICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387304137
830		0	_aMathematics and Its Applications ; _v583
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-35215-2 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57438 _d57438