Farmer [5] gives plots of various Poincaré sections for
the MackeyGlass equation, a scalar DDE that exhibits chaotic
behavior. Reproduce Fig. 2a of the paper by solving



0.2 y(t14) 1 + y(t14)^{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(t14).
[5]
J.D. Farmer, Chaotic attractors of an infinitedimensional
dynamical system, Physica D, 4 (1982) 366393.