Dynamic principles of prediction and control

The approaches to prediction and control based on generic instability mechanisms in dynamic systems are described. These approaches, developed within the framework of experimental mathematics presume the denial of any attempts to construct, identify, or analyze the approximate models of rather complicated real dynamic objects. Instead, attempts are made to gather same experimental data connected with real models and then use it for prediction and control design. The occurrence of instabilities comply with certain generic regularities, which taken into account result in certain general principles of the qualitative control theory.