Minimal attractor embedding dimension for discrete dynamic system using state-space method: theoretical ground

摘要

The theoretical substantiation of a locally topological method for defining a minimum attractor embedding dimension on the basis of state-space method of a dynamic system description is supposed. The numerical modeling of various types of discrete dynamic systems on the computer is carried out with the purpose of verification of theoretical principles, which are the underlying principles for a minimum dimension computation method of such system attractor embedding.