We consider the dynamical inverse problem for the wave equation on a metric tree graph and describe the dynamical Leaf Peeling (LP) method. The main step of the method is recalculating the response operator from the original tree to a peeled tree. The LP method allows us to recover the connectivity, potential function on a tree graph and the lengths of its edges from the response operator given on a finite time interval.

中文翻译：

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度量树图上波动方程的叶子剥离方法

我们考虑了度量树图上波动方程的动力学反问题，并描述了动态叶剥（LP）方法。该方法的主要步骤是将响应运算符从原始树重新计算为去皮树。LP方法使我们能够在有限的时间间隔内从响应算子恢复树形图上的连通性，势函数及其边缘的长度。