
Farmer [5] gives plots of various Poincaré sections for
the Mackey-Glass equation, a scalar DDE that exhibits chaotic
behavior. Reproduce Fig. 2a of the paper by solving
|
|
|
|
0.2 y(t-14) 1 + y(t-14)10
|
- 0.1 y(t) |
| (4) |
|
on [0,300] with history y(t) = 0.5 for t £ 0
and plotting y(t -14) against y(t). The figure begins with t = 50 to allow an initial transient time to settle down. To
reproduce it, form an array of 1000 equally spaced points in [50,300], evaluate y(t) at these points, and then evaluate
y(t-14).
[5]
J.D. Farmer, Chaotic attractors of an infinite-dimensional
dynamical system, Physica D, 4 (1982) 366-393.
