膨胀单形构型的稳定性:三维情况

SIGSAM Bull. Pub Date : 2005-12-01 DOI:10.1145/1140378.1140386

A. Mylläri

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引用次数: 0

摘要

用线性逼近的方法研究了正多面体顶点处等质量物体形成的膨胀同形构型的稳定性。摄动的增长速度比系统的一般膨胀速度快，被认为是不稳定的。对这些不稳定性进行了详细的研究。讨论了不稳定模态三维结构可视化的不同方法。

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Stability of expanding homographic configurations: 3D case

Stability of expanding homographic configurations formed by bodies of equal masses placed at the vertices of regular polyhedrons is considered in linear approximation. Perturbations growing faster than the general expansion of the system are considered to be unstable. These instabilities are studied in detail. Different ways to visualize 3D structure of unstable modes are discussed.

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SIGSAM Bull.

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