Abstract
A data-driven generalized cell mapping method devoting to conquer the difficulty that how to carry out the global analysis for a model-free and complex system, without prior knowledge of the underlying system, is proposed in this paper to uncover the hidden flow structure existing in the North Pacific Ocean. By this way, the transient attracting region near the 30 degrees north latitude, acting as a short-term attractor in the North Pacific Ocean, is unveiled by investigating the topology of the season-aware transition probability matrix created from the historical data bank of drifters. The predicted probability distributions of drifters are presented to illustrate the evolutions and concentration of ocean currents, which coincides with the real responses of drifters. Furthermore, the purpose of this paper is also to promote the applications of the data-driven cell mapping method in practical engineering.
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Acknowledgements
The authors acknowledge support from the National Natural Science Foundation of China through grants (11702213, 11772243, 11572215, 11972274 and 11332008) and the Natural Science Foundation of Shaanxi Province through grant (2018JQ1061). The NOAA/GDP dataset is at https://www.aoml.noaa.gov/phod/gdp. The first author would like to thank the China Scholarship Council (CSC) for sponsoring his study in the University of California, Merced. Some techniques employed in this paper were discussed by Shangjie Frank Ma and Shuo Wang when he studied in USA.
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Li, Z., Qiao, L., Jiang, J. et al. Global dynamic analysis of the North Pacific Ocean by data-driven generalized cell mapping method. Int. J. Dynam. Control 8, 1141–1146 (2020). https://doi.org/10.1007/s40435-020-00678-z
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DOI: https://doi.org/10.1007/s40435-020-00678-z