集中和分布式动态系统中运动的识别频谱时间描述

S. Vladimirov
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引用次数: 0

摘要

具有多个自由度的动态系统在物理学、声学、电子学、电动力学、自动化、生物学及其众多应用等各个领域都具有特殊的意义。目前,线性动力系统的理论已经比较完备,而非线性多频结构的理论还远远不够完善。特别是在同类对象研究中广泛使用渐近方法,导致整个世界对长期世界的可能决策丧失,即动态混沌。本文的目的在于建立和证明这两类动力系统的运动方程,在一些附加条件下,在形式和本质上都是一致的,此外,所有物理上可行的系统都满足这些条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The identify spectrum-time description of movements in lumped and distributed dynamic systems
The dynamic systems with many degrees of freedom represent special interest iu the various areas of physics, acoustics, electronics, electrodynamics, automatics, biology and their numerous applications. At present, the theory of linear dynamic systems has a quite completed form, however, the theory of nonlinear multifrequency structures is far from being complete. In particular, wide use of asymptotic methods for similar kind objects research, has resulted in loss of the whole world of the possible decisions for a long term world, so called dynamic chaos. The purpose of the present paper consists in the establishment and proof of the equations of movement of these two classes of dynamic systems coincide both in form and in essence, under some additional requirement, which, besides, all physically practicable systems satisfy.
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