{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,16]],"date-time":"2025-04-16T07:48:03Z","timestamp":1744789683814,"version":"3.37.3"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11402116"],"award-info":[{"award-number":["11402116"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11472136"],"award-info":[{"award-number":["11472136"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["30910612203"],"award-info":[{"award-number":["30910612203"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,7]]},"abstract":"<jats:p>Supercavity can increase the velocity of underwater vehicles greatly, however the launching state of vehicle and systematic parameters often lead to unstable motion. To solve the problem, the effect of parameters and initial conditions on the stability of vehicles is studied. With two variable parameters, namely cavitation number and feedback control gain of fin deflection angle, a simple dynamic model of supercavity system is studied. The multistability is verified through simulation. Robustness of the system is also analyzed based on its basins of attraction. There are various coexisting attractors in a relatively large region of parameter space of the supercavity system, namely coexistence of a stable equilibrium point and a periodic attractor, coexistence of various periodic attractors, coexistence of a periodic attractor with a chaotic attractor and so on, which explain the effect of parameters and initial values on stability of vehicles qualitatively. In addition, without major change in cavitation number, there is a negative correlation between the robustness of the vehicle and feedback control gain of fin deflection angle. The robustness can be improved through optimization of parameters.<\/jats:p>","DOI":"10.1142\/s0218127417501218","type":"journal-article","created":{"date-parts":[[2017,8,9]],"date-time":"2017-08-09T23:54:31Z","timestamp":1502322871000},"page":"1750121","source":"Crossref","is-referenced-by-count":4,"title":["Multistability in a Simplified Underwater Supercavity System"],"prefix":"10.1142","volume":"27","author":[{"given":"Yipin","family":"Lv","sequence":"first","affiliation":[{"name":"National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianhong","family":"Xiong","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, P. R. 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