The Lorenz system is the 3-dimensional chaotic system \(dx/dt = \sigma y - \sigma z\) \(dy/dt = - x z + r x - y\) \(dz/dt = x y - b z\), discovered by Edouard N. Lorenz in 1963 [1]. The following parameters and initial conditions were used in the present data set: \(\sigma = 10, b = 8/3, r = 28\) and \((x0, y0, z0) = (0, 1, 1.05)\). The following four columns are provided: (1) time t, (2) x(t), (3) y(t) and (4) z(t). For this parameterization, the Lorenz system produces a chaotic behavior.
lorenzAn object of class data.frame with 10000 rows and 3 columns.
[1] Lorenz, Edward Norton (1963). "Deterministic nonperiodic flow". Journal of the Atmospheric Sciences. 20 (2): 130-141.