dynamic system

Inaccesible States in Dynamic Systems Associated with Paths and Cycles

Authors: Zharkova A. V.

Formulas are derived for calculation of the number of inaccesible states in dynamic systems formed by binary vectors encoding orientations of paths and cycles.

The Dynamical Cause-effect Links’ Presentation in Human-machine Systems

Authors: Rezchikov A. F., Kushnikov V. A., Ivashchenko V. A., Bogomolov A. S., Filimonyuk L. Y., Sholomov K. I.

A method of presentation variable cause-effect links for modeling processes in dynamic systems is proposed. Such a representation corresponds to the changing conditions that are associated with the action of many diverse factors that accompany the functioning of complex human-machine systems. The presence or absence of a causal relationship between the individual events in the proposed model is defined as a result of a set of stochastic or deterministic functions.

Mathematical model of dynamic chaos

Authors: Podchukaev V. A.

The problem of analytical designing on the set mathematical model of dynamic system in space of states of mathematical model accompanying it in phase space is put and solved. It is shown, that the representing point of any decision of dynamic system of a general view in space of states conditions belongs to hypersphere with the displaced centre in phase space (or to central hypersphere of variable radius equivalent to it).