{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,3]],"date-time":"2024-06-03T15:18:49Z","timestamp":1717427929268},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2013,1]]},"abstract":"<jats:p> A critical component of many Inertial Navigation Systems (INS) is the gyroscope \u2014 a device used for detecting rotation rates and orientation. Gyroscopes are subject to material imperfections and manufacturing defects, potentially reducing their ability to detect signals and to minimize phase drift. This manuscript explores the idea of performance enhancement by combining the input\u2013output response of an ensemble of gyroscopes coupled bidirectionally, through the driving- and sensing-modes, in a ring fashion. Numerical simulations and bifurcation analysis via perturbation methods show the existence of a stable synchronization state in which all gyroscopes vibrate with the same phase and amplitude. In this state, the sum output of the sensing modes is significantly larger than any individual sensing mode, which leads to significant reductions in phase drift caused by material imperfections, fabrication variations, and system noise. Similarities and differences with respect to a system of gyroscopes coupled only along the driving-axis are discussed in great detail as well. <\/jats:p>","DOI":"10.1142\/s0218127413500065","type":"journal-article","created":{"date-parts":[[2013,3,5]],"date-time":"2013-03-05T20:39:24Z","timestamp":1362515964000},"page":"1350006","source":"Crossref","is-referenced-by-count":4,"title":["COLLECTIVE BEHAVIOR OF A COUPLED GYROSCOPE SYSTEM WITH COUPLING ALONG THE DRIVING- AND SENSING-MODES"],"prefix":"10.1142","volume":"23","author":[{"given":"NATHAN","family":"DAVIES","sequence":"first","affiliation":[{"name":"Science and Applications International Corporation, 4211 Ponderosa Ave., San Diego, CA 92123, USA"}]},{"given":"HUY","family":"VU","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics, San Diego State University, San Diego, CA 92182, USA"}]},{"given":"ANTONIO","family":"PALACIOS","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics, San Diego State University, San Diego, CA 92182, USA"}]},{"given":"VISARATH","family":"IN","sequence":"additional","affiliation":[{"name":"Space and Naval Warfare Systems Center, Code 2363, 53560 Hull Street, San Diego, CA 92152-5001, USA"}]},{"given":"PATRICK","family":"LONGHINI","sequence":"additional","affiliation":[{"name":"Space and Naval Warfare Systems Center, Code 2363, 53560 Hull Street, San Diego, CA 92152-5001, USA"}]}],"member":"219","published-online":{"date-parts":[[2013,3,5]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-09536-3"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1166\/sl.2004.057"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-25786-1_6"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/JMEMS.2007.892910"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1002\/0470099720"},{"key":"rf9","volume-title":"Perturbation Methods","author":"Nayfeh A.","year":"2004"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2009.03.010"},{"key":"rf11","volume-title":"Lectures Notes on Nonlinear Vibrations","author":"Rand R.","year":"2005"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1088\/0960-1317\/17\/10\/003"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.031108"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1063\/1.3532802"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127413500065","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:05:24Z","timestamp":1565111124000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127413500065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1]]},"references-count":11,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2013,3,5]]},"published-print":{"date-parts":[[2013,1]]}},"alternative-id":["10.1142\/S0218127413500065"],"URL":"https:\/\/doi.org\/10.1142\/s0218127413500065","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1]]}}}