Asymptotic behavior of solutions of Lorenz-like systems. Analytical results and computer error structures

Abstract

For the Lorenz-like systems with volume contraction an analytical criteria for global stability and instability of stationary sets were obtained. Numerical experiments for the study of qualitative behavior of Lorenz-like systems trajectories were described and analyzed. It is shown that their interpretation without further verifcation, oriented on the analytical results, can lead to incorrect conclusions. Refs 41. Figs 5.