{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,13]],"date-time":"2024-01-13T00:40:29Z","timestamp":1705106429032},"reference-count":0,"publisher":"IOS Press","isbn-type":[{"value":"9781643684802","type":"print"},{"value":"9781643684819","type":"electronic"}],"license":[{"start":{"date-parts":[[2024,1,12]],"date-time":"2024-01-12T00:00:00Z","timestamp":1705017600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,1,12]]},"abstract":"<jats:p>The generalized Kapitsa problem of stabilizing the upper position of a deformable pendulum under the action of small vertical oscillations of its base in a gravity field is solved. The presence of a small parameter of the problem allows us to carry out averaging and obtain approximate equations of motion of the pendulum. Two models of a pendulum are considered and compared: a flexible inextensible rod and a flexible tensile rod. The influence of each parameter of the problem on stability is studied. The limits of applicability of the model of a flexible inextensible pendulum are obtained.<\/jats:p>","DOI":"10.3233\/faia231169","type":"book-chapter","created":{"date-parts":[[2024,1,12]],"date-time":"2024-01-12T12:55:09Z","timestamp":1705064109000},"source":"Crossref","is-referenced-by-count":0,"title":["Stability and Longitudinal Resonances of the Kapitsa Pendulum"],"prefix":"10.3233","author":[{"given":"Nikita F.","family":"Morozov","sequence":"first","affiliation":[{"name":"Saint Petersburg State University, Russia"}]},{"given":"Oksana R.","family":"Polyakova","sequence":"additional","affiliation":[{"name":"\u201cMetagalactic Sciences\u201d of Moscow region, Russia"}]},{"given":"Tatyana P.","family":"Tovstik","sequence":"additional","affiliation":[{"name":"Institute for Problems in Mechanical Engineering RAS, Russia"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Electronics, Communications and Networks"],"original-title":[],"link":[{"URL":"https:\/\/ebooks.iospress.nl\/pdf\/doi\/10.3233\/FAIA231169","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,12]],"date-time":"2024-01-12T12:55:20Z","timestamp":1705064120000},"score":1,"resource":{"primary":{"URL":"https:\/\/ebooks.iospress.nl\/doi\/10.3233\/FAIA231169"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,12]]},"ISBN":["9781643684802","9781643684819"],"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/faia231169","relation":{},"ISSN":["0922-6389","1879-8314"],"issn-type":[{"value":"0922-6389","type":"print"},{"value":"1879-8314","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,12]]}}}