ALEA::NAVIER-STOKES
Arguments: x1-in x2-in x3-in x4-in x5-in reyn dt pas [generic-function]
A model obtained by an appropriate truncation to five modes of the Navier-Stokes equations for an incompress-ible fluid in a torus.
dx1= -2*x1 + 4*x2*x3 + 4*x4*x5 dx2= -9*x2 + 3*x1*x3 dx3= -5*x3 - 7*x1*x2 + reyn dx4= -5*x4 - x1*x5 dx5= -x5 - 3*x1*x4 - reyn is the Reynolds number, which has a certain number of interesting behaviors in function of different values of reyn. For the different critical values of reyn, the most remarkable point is the stochastic behavior observed when R1 reyn R2. With 28.73 R1 29.0 and R2 ± = 33.43. - pas is the number of iterations, or generated points; - dt is a value of time for the numerical integration in the equations. The output of this module is a list of coordinates in five dimensions : ((x1-in x2-in x3-in x4-in x5-in ) ... (x1n x2n x3n x4n x5n )).