Universality of Oscillation Theory Laws. Types and Role of Mathematical Models

Universality of Oscillation Theory Laws. Types and Role of Mathematical Models
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振荡理论定律的普遍性。

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发表时间:
1997
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通讯作者:
P. Landa
P. Landa
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文献类型:
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作者:
P. Landa

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讨论了振动理论定律的普适性。本文建议将具体系统的模型分为四类:被研究系统的模型“画像”、“黑箱”类型的模型、聚合模型和可能发生在真实的系统中的某些现象的模型。作为第四类模型的一个例子,考虑了具有随机振动悬挂轴的摆的振荡方程,以澄清向湍流过渡的机制。
The universality of oscillation theory laws is discussed. It is suggested that all models of concrete systems be separated into four categories: models ‘‘portraits" of investigated systems, models of the type of "black box", aggregating models, and models of certain phenomena which can occur in real systems. As an example of the model of the fourth type, the equation of oscillations of a pendulum with a randomly vibrating suspension axis is considered for the purpose of clarifying the mechanism of the transition to turbulence.