Chaotic Continuous Processes and Their Interval Characteristics

摘要

The fundamentals of mathematical theory of a state of chaos for investigation of undetermined signals, which are formed as chaotic continuous processes, are constructed. Their proper and mutual interval characteristics (interval functions) are introduced. Within the framework of set-theory approach the prototypes of probabilistic characteristics are introduced. They are represented as a special case when similar properties become apparent only under certain conditions while consideration of limiting cases of analysis of chaotic continuous processes.