UNIFORMITY OF SPATIAL PHYSICAL MOTION SYSTEMS AND SPATIAL CHAOS BEHAVIOR IN THE SENSE OF LI–YORKE

Abstract

In this paper, the motion law of some classical spatial physical motion systems is described, and a uniform motion system is obtained from them. The uniform motion system is analyzed and compared with the currently popular model, i.e. coupled map lattice (CML) model. CML is just one special type of the uniform motion system. In the uniform motion system, an iterative periodic orbit is constructed and the spatial chaotic behavior in the sense of Li–Yorke is studied. The proposed uniform motion system provides a reliable theoretic foundation in the application of the classical motion systems used in the field of engineering technology.