耦合摆和牛顿摆中的行波和驻波
Traveling and standing waves in coupled pendula and Newton's cradle
摘要：
研究了具有周期边界条件的耦合摆链的行波和驻波的存在性。通过对对称解的子空间应用拓扑方法证明了结果。这种方法的主要优点在于只需要线性化力的性质。这允许覆盖广泛的模型，如牛顿摇篮，费米-帕斯塔-乌拉姆晶格和户田晶格。
英文摘要：
The existence of traveling and standing waves is investigated for chains of coupled pendula with periodic boundary conditions. The results are proven by applying topological methods to subspaces of symmetric solutions. The main advantage of this approach comes from the fact that only properties of the linearized forces are required. This allows to cover a wide range of models such as Newton's cradle, the Fermi-Pasta-Ulam lattice and the Toda lattice.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
