一类可约连续统系统的有限机械代理
Finite Mechanical Proxies for a Class of Reducible Continuum Systems
摘要：
基于Amann-Conley-Zehnder范式，给出了一类非线性扰动波动方程的精确有限约化.通过求解特征值反问题，我们建立了由A-C-Z导出的谱有限描述与一个离散力学模型，一个明确的有限弹簧质量系统之间的等价关系。通过这样做，我们解密的抽象信息编码在有限的减少，并获得一个物理上健全的代理连续的问题。
英文摘要：
We present the exact finite reduction of a class of nonlinearly perturbed wave equations, based on the Amann-Conley-Zehnder paradigm. By solving an inverse eigenvalue problem, we establish an equivalence between the spectral finite description derived from A-C-Z and a discrete mechanical model, a well definite finite spring-mass system. By doing so, we decrypt the abstract information encoded in the finite reduction and obtain a physically sound proxy for the continuous problem.
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