{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T08:08:01Z","timestamp":1725523681499},"reference-count":0,"publisher":"ASMEDC","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2007,1,1]]},"abstract":"<jats:p>A reinterpretation of the classic definition of fractional Brownian motion leads to a new definition involving a fractional noise obtained as a fractional derivative of white noise. To obtain this fractional noise, two sets of fractional derivatives are considered: a) the forward and backward and b) the central derivatives. For these derivatives the autocorrelation functions of the corresponding fractional noises have the same representations. The obtained results are used to define and propose a new simulation procedure.<\/jats:p>","DOI":"10.1115\/detc2007-35218","type":"proceedings-article","created":{"date-parts":[[2009,5,22]],"date-time":"2009-05-22T18:33:30Z","timestamp":1243017210000},"page":"275-283","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":0,"title":["A New Look at the Fractional Brownian Motion Definition"],"prefix":"10.1115","author":[{"given":"Manuel Duarte","family":"Ortigueira","sequence":"first","affiliation":[{"name":"UNINOVA - UNL Quinta da Torre, Caparica, Portugal"}]},{"given":"Arnaldo Guimara\u02dces","family":"Batista","sequence":"additional","affiliation":[{"name":"UNINOVA - UNL Quinta da Torre, Caparica, Portugal"}]}],"member":"33","published-online":{"date-parts":[[2009,5,20]]},"event":{"name":"ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference","start":{"date-parts":[[2007,9,4]]},"sponsor":["Design Engineering Division and Computers and Information in Engineering Division"],"location":"Las Vegas, Nevada, USA","end":{"date-parts":[[2007,9,7]]},"acronym":"IDETC-CIE2007"},"container-title":["Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C"],"original-title":[],"link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings-pdf\/doi\/10.1115\/DETC2007-35218\/4566680\/275_1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings-pdf\/doi\/10.1115\/DETC2007-35218\/4566680\/275_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,9]],"date-time":"2020-01-09T21:29:36Z","timestamp":1578605376000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings\/IDETC-CIE2007\/4806X\/275\/324525"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,1,1]]},"references-count":0,"URL":"https:\/\/doi.org\/10.1115\/detc2007-35218","relation":{},"subject":[],"published":{"date-parts":[[2007,1,1]]}}}