Deterministic Chaos in the Dynamics of a Freely Jointed Chain with Three Degrees of Freedom
Deterministic Chaos in the Dynamics of a Freely Jointed Chain with Three Degrees of Freedom
复制标题
三自由度自由连接链动力学中的确定性混沌
DOI：
10.1515/zna-1993-0408
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
P. Reineker
中科院分区：
文献类型：
--
作者：
G. Siegert;R. Winkler;P. Reineker
摘要 对三段短自由连接链的动力学进行了数值研究。该链由由无质量刚性杆连接的质点组成，其初始点和终点是固定的。因此，该链代表具有三个自由度的完整约束系统。结果表明，质点的运动可以是混沌的；混沌的发生取决于运动的初始条件、链条的端到端距离以及绕拉伸方向轴的角动量。此外，该链更有可能表现出规则行为而不是混乱行为。数值结果以庞加莱截面曲面的形式（包括切片技术的使用）以及功率谱的形式呈现。
Abstract The dynamics of a short freely jointed chain of three segments is investigated numerically. The chain consists of mass points connected by massless rigid rods, its initial and final points being fixed. Thus the chain represents a holonomically constrained system with three degrees of freedom. It is shown that the motion of the mass points can be chaotic; the occurrence of chaos depends on the initial conditions of the motion, the end-to-end distance of the chain, and the angular momentum about the axis of the stretching direction. Moreover, the chain more likely exhibits regular than chaotic behavior. The numerical results are presented in the form of Poincare surfaces of section, including the use of a slice technique, as well as in the form of power spectra.