Mingzhou Wang

Conflict of Interests The authors declare no conflict of interest. Data Availability Statement The data that support the findings of this study are available from the corresponding author upon reasonable request. Supporting Information Filename Description anie70399-sup-0001-SuppMat.docx20.9 MB Supporting information References 1, , , , , Science 2019, 366, 226–231, https://doi.org/10.1126/science.aay1844. 2, , , , , , , , , , Science 2016, 351, 965–968, https://doi.org/10.1126/science.aad5705.

1. Introduction Nonlinear dynamics, as a discipline focused on studying the behavior of nonlinear systems, has gained widespread application in the fields of science and engineering in recent years [1,2,3,4,5]. In the field of underwater acoustic signal processing, the signals collected from the marine environment are inherently nonlinear due to the complex interactions between sound waves and various physical factors such as water temperature, salinity, and sea floor topography [6,7].

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