The Sprott-K system is the 3-dimensional chaotic system \(dx/dt = x z - a y\) \(dy/dt = x + b y\) \(dz/dt = x - z\), discovered by Julien C. Sprott in 1994 [1]. The following parameters and initial conditions were used in the present data set: a = 0.5, b = 0.2 and (x0, y0, z0) = (-0.01170987, 1.010009, -4.522642e-05). The following four columns are provided: (1) time t, (2) x(t), (3) y(t) and (4) z(t). For this parameterization, the Sprott-K system produces a periodic behavior of period 4.
sprottKAn object of class data.frame with 1000 rows and 3 columns.
[1] J.C. Sprott, Some simple flows, 1994. Physical Review E, 50(2), 647-650.