ALEA::TORUS
Arguments: iinit tinit k pas [generic-function]
This equation system is derived from a model of a pendulum submitted to periodic perturbations :
In+1 = In + K * sin Tn Tn+1 = Tn + In+1 where - k is a parameter of perturbation; - I and T are the variables of the phase-space in modulo 2*pi between 0 and 2*pi; - init and tinit are the initial values k is the parameter of perturbation pas is the number of iterations, or generated points. The output of this module is a [[list]] of coordinates in two dimensions : ((Iinit tinit ) (I0 T0 ) (I1 T2 ) ... (In Tn )). the [[second]] output returns a list with the x values, and the second output returns the y values as a list See Rick Bidlack, 1992, Chaotic Systems as Simple (but Complex) compositional Algorithms, in CMJ vol16,n¡3