Recurrently – Automatons Methods in the Analysis of the Laws of Functioning of Discrete Dynamical Systems

A. Epifanov
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Abstract

The paper considers the laws of functioning of discrete dynamical systems. The special theoretical apparatus of geometrical images of automata is used for formal representation of the laws of functioning. Specific processes of system functioning and the law of functioning of the system as a whole are defined by geometric curves and numerical sequences. The spectrum of dynamic parameters of the recurrence definition of numerical sequences is used to build estimates of the complexity of processes and laws of functioning.
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离散动力系统功能规律分析中的递归自动机方法
本文研究离散动力系统的泛函规律。自动机的几何图像这一特殊的理论装置被用来形式化地表示函数的规律。系统功能的具体过程和系统作为一个整体的功能规律由几何曲线和数值序列来定义。数值序列递归定义的动态参数谱用于建立过程复杂性和功能规律的估计。
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