Deterministic Chaos in Vibrations of Discrete Structures of Matrix Type

Abstract

it shows the possibility of modeling regimes of deterministic chaos in vibrations of discrete structures, which formed as special matrix forms of the Latin square. A mathematical model of such discrete systems, which based of an analysis is made of the conditions for combining the discrete structure and the requirements for transformations of the operator of its evolution, which ensure the achievement of such modes, is proposed. Results of imitation modeling of oscillatory processes on cycles of discrete system states, which forming similarity of attractor trajectories, are represented.