# saddnode.ode (XPPAUT file):- written by M. Guevara # This is a one-dimensional differential equation that undergoes a # saddle-node bifurcation at r=0. # Copyright 2003 # Centre for Nonlinear Dynamics in Physiology and Medicine # EQUATIONS dx/dt = r-x^2 # PARAMETERS par r=-1.0 # INITIAL CONDITIONS init x=1.0 # CHANGES FROM XPP'S DEFAULT VALUES @ TOTAL=10,DT=0.1,XLO=0.0,XHI=10.0,YLO=-2.5,YHI=2.5 done