In this note, we present constructive bijections from Dyck and Motzkin meanders with catastrophes to Dyck paths avoiding some patterns. As a byproduct, we deduce correspondences from Dyck and Motzkin excursions to restricted Dyck paths.

中文翻译：

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Dyck和Motzkin的双射蜿蜒曲折地规避了Dyck路径

在本说明中，我们提出了从戴克和莫兹金蜿蜒曲折的建设性双射，避免了某些模式，从而使戴克向戴克路径发了大灾难。作为副产品，我们推论了从Dyck和Motzkin游览到受限Dyck路径的对应关系。