{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T07:02:59Z","timestamp":1762066979726,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T00:00:00Z","timestamp":1662681600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Education and Higher Education in Poland","award":["DIALOG 0019\/DLG\/2019\/10"],"award-info":[{"award-number":["DIALOG 0019\/DLG\/2019\/10"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We use friction to simultaneously damp and excite a pendulum system. A Froude pendulum attached to a suspension shaft is subjected to a frictional load. We investigate two types of response of the system: regular and chaotic responses, depending on the excitation frequency. A transient chaotic solution was also obtained. We identify the motions using phase portraits, Poincar\u00e9 maps, and Fourier spectra. Finally, the composite multiscaled entropy was estimated for the specified cases to confirm the preliminary classification.<\/jats:p>","DOI":"10.3390\/e24091269","type":"journal-article","created":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T04:54:41Z","timestamp":1662699281000},"page":"1269","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Dynamics and Entropy Analysis of a Frictionally Loaded Pendulum"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9647-8345","authenticated-orcid":false,"given":"Grzegorz","family":"Litak","sequence":"first","affiliation":[{"name":"Department of Automation, Lublin University of Technology, Nadbystrzycka 36, PL-20-618 Lublin, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5986-5365","authenticated-orcid":false,"given":"Marek","family":"Borowiec","sequence":"additional","affiliation":[{"name":"Department of Applied Mechanics, Lublin University of Technology, Nadbystrzycka 36, PL-20-618 Lublin, Poland"}]},{"given":"Krzysztof","family":"Da\u0327bek","sequence":"additional","affiliation":[{"name":"Department of Automation, Lublin University of Technology, Nadbystrzycka 36, PL-20-618 Lublin, Poland"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2125","DOI":"10.1007\/s11071-020-06023-5","article-title":"Dynamic response of the spherical pendulum subjected to horizontal Lissajous excitation","volume":"102","author":"Litak","year":"2020","journal-title":"Nonl. 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