Attraktorlokalisierung des Lorenz‐Systems

In the present paper that region, in which the (minimal) attractor [2, 3] is situated, is localized in the phase space of the Lorenz system [1, 2] by means of Lyapunov's second method. Being based on these estimations and the results of paper [4] a sufficient condition is given that separatrix loops of the saddle x = y = z = 0 are missing. Comparison of the bounds for the attractor obtained analytically in this paper with the numerical results by E. Lorenz [1] shows that for certain parameter regions these estimations practically can not be augmented.