Applied symbolic dynamics: Attractors and filtrations (Q1576818)

The paper is devoted to the structure of attractors without any preliminary information about the system. The investigation is based on the methods of symbolic dynamics and all necessary information is obtained by numerical methods. Using a covering of phase space by cells the dynamical system is associated with an oriented graph called symbolic image of the system. Investigation of the symbolic image provides valuable information about the global structure of the system, in particular one can obtain neighborhoods of the attractors and estimate their domains of attraction. This allows to construct a filtration of dynamical system.