{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T12:46:37Z","timestamp":1725799597476},"reference-count":0,"publisher":"ECMS","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,6,7]]},"abstract":"<jats:p>A gradual construction of signal based on the Weierstra\u00df-Mandelbrot function starting from a single pure tone up to a fully developed self-similar waveform allows one to aurally perceive gain\/loss of self-similarity symmetry. A numerically synthesized example involves a scaling transformation with the value of scaling factor increasing continuously from unity to the value defining the self-similarity of the full Weierstra\u00df-Mandelbrot function. In the case of partially self-similar signals the sequence of a sequential repetition of  this transformation is readily perceptible, whereas for the fully self-similar signal the repetitions manifest themselves as an ever-ascending glissando specific to Shepard tones. The usefulness of the concept of self-similarity in the condensed matter physics is discussed.<\/jats:p>","DOI":"10.7148\/2024-0291","type":"proceedings-article","created":{"date-parts":[[2024,7,24]],"date-time":"2024-07-24T17:58:18Z","timestamp":1721843898000},"page":"291-294","source":"Crossref","is-referenced-by-count":0,"title":["Acoustic manifestations of symmetry breaking in self-similar signals"],"prefix":"10.7148","author":[{"given":"Piotr","family":"Zielinski","sequence":"first","affiliation":[]}],"member":"4144","published-online":{"date-parts":[[2024,6,7]]},"event":{"name":"38th ECMS International Conference on Modelling and Simulation"},"container-title":["ECMS 2024 Proceedings edited by Daniel Grzonka, Natalia Rylko, Grazyna Suchacka, Vladimir Mityushev"],"original-title":[],"deposited":{"date-parts":[[2024,7,24]],"date-time":"2024-07-24T17:58:23Z","timestamp":1721843903000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.scs-europe.net\/dlib\/2024\/2024-0291.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,7]]},"references-count":0,"URL":"https:\/\/doi.org\/10.7148\/2024-0291","relation":{},"subject":[],"published":{"date-parts":[[2024,6,7]]}}}