10.1371/journal.pcbi.0040029.g002 Avner Wallach Avner Wallach Danny Eytan Danny Eytan Shimon Marom Shimon Marom Ron Meir Ron Meir Fixed Point Loci When the Activities are Proportional Public Library of Science 2013 loci activities 2013-02-21 10:59:35 Figure https://plos.figshare.com/articles/figure/_Fixed_Point_Loci_When_the_Activities_are_Proportional_/607275 <p>Geometrical loci of the averaged system's fixed points when the excitatory and inhibitory activity function are proportional to each other, as described in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0040029#pcbi-0040029-e008" target="_blank">Equation 8</a>. The locus depends on the parameter ratio <i>ρ</i>. When <i>ρ</i> < 1 fixed points are located in the lower half of the plane ( ) and vice versa. We can infer from the assumptions in <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0040029#pcbi-0040029-e005" target="_blank">Equations 5</a> and <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.0040029#pcbi-0040029-e006" target="_blank">6</a> that as fixed points approach the lower-right corner of the phase plane, activity increases. Thus, decreasing <i>ρ</i> changes the overall behavior from a depressing to a facilitating one. </p>