models/Primer/logistic.lua

   1 --%  ft| TRAJECTORY_T1_V0_A1_O0 sn| Chaotic~trajectory n| #0 d| 0.1 n| #1 d| 3.8 n| #2 d| 0 n| #3 d| 100 n| #4 d| 100 n| #5 d| x
   2 --%  ft| TRAJECTORY_T1_V0_A1_O0 sn| Convergence~to~a~period-6~cycle n| #0 d| 0.8 n| #1 d| 3.842 n| #2 d| 0 n| #3 d| 150 n| #4 d| 150 n| #5 d| x
   3 --%  ft| BIFURCATION_1 sn| Period-doubling~route~to~chaos n| #0 d| 0.2 n| #1 d| mu n| #2 d| 2.8 n| #3 d| 4.05 n| #4 d| -0.05 n| #5 d| 1.05 n| #6 d| 500 n| #7 d| 200 n| #8 d| x
   4 --@@
   5 name = "logistic map"
   6 description = " See Model refs in user's guide"
   7 type = "D"
   8 parameters = {"mu"}
   9 variables = {"x"}
  10
  11 function f(mu, x)
  12
  13         y = mu * x * (1 - x)
  14
  15         return y
  16
  17 end
  18
  19 function Jf(mu, x)
  20
  21         return mu - 2 * mu * x;
  22 end
  23