TY - BOOK ID - 213111 TI - Phase portraits of planar quadratic systems PY - 2007 SN - 0387352155 0387304134 1441940243 PB - New York : Springer, DB - UniCat KW - Differential equations. KW - Equations, Quadratic. KW - 517.91 Differential equations KW - Differential equations KW - Quadratic equations KW - Differential Equations. KW - Differentiable dynamical systems. KW - Genetics KW - Ordinary Differential Equations. KW - Dynamical Systems and Ergodic Theory. KW - Genetics and Population Dynamics. KW - Mathematics. KW - Biology KW - Embryology KW - Mendel's law KW - Adaptation (Biology) KW - Breeding KW - Chromosomes KW - Heredity KW - Mutation (Biology) KW - Variation (Biology) KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Global analysis (Mathematics) KW - Topological dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:213111 AB - 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. ER -