02959nam a22004695i 4500 978-0-387-35215-2 DE-He213 20260521091909.0 cr nn 008mamaa 100301s2007 xxu| s |||| 0|eng d 9780387352152 99780387352152 10.1007/978-0-387-35215-2 doi CICY 515.352 23 Reyn, John. author. Phase Portraits of Planar Quadratic Systems [recurso electrónico] / by John Reyn. Boston, MA : Springer US, 2007. XVI, 334 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Mathematics and Its Applications ; 583 Critical 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. Although 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. MATHEMATICS. DIFFERENTIABLE DYNAMICAL SYSTEMS. DIFFERENTIAL EQUATIONS. GENETICS MATHEMATICS. MATHEMATICS. ORDINARY DIFFERENTIAL EQUATIONS. DYNAMICAL SYSTEMS AND ERGODIC THEORY. GENETICS AND POPULATION DYNAMICS. SpringerLink (Online service) Springer eBooks Printed edition: 9780387304137 Mathematics and Its Applications ; 583 http://dx.doi.org/10.1007/978-0-387-35215-2 Ver el texto completo en las instalaciones del CICY ddc ER 33375 33375 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 515.352 2025-07-10 08:39:55 2025-07-10 ER