Lorentz equation
The Lorentz's system is defined by the following continuous system :
The state variables
,
and
are respectively temperature of the air, speed of wind and a third variable which represents the variation of temperature according to the altitude.
//set sampling time
Tsampl=3e-3
//set parameters
a=10
b=28
c=8/3
//set initial conditions
ci1=[5.5;5.49;5.51;5.511]
ci2=[5;4.99;5.01;5.011]
ci3=[20;19.99;20.01;20.011]
//set colors for scopes
vcol=[0;3;5;9]
//set end simulation time
Tfin=30
Figure : (a) Time domain waveforms of state variables (x,y,z)
Figure : (b) Trajectories in the phase plan (x,y,z)
Figure : Scope results
Alan Layec INRIA