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This concept is significantly different from other techniques, e.g. master-slave systems, in the sense that the collective behavior arises naturally from the mutual interactions of the individual units, and without any external forcing. In this manuscript, we present a comprehensive review of the basic ideas, methods, and experiments of the symmetry-based phenomenon of frequency conversion. In addition, we present a review of a device implementation of a broad spectrum analyzer, which motivated the development of systematic methods to up- and down-convert frequencies of oscillations. This device is made up of large parallel arrays of analog nonlinear oscillators with the ability to receive complex signals containing multiple frequencies and instantaneously lock-on or respond to a received signal in a few oscillation cycles. <\/jats:p>","DOI":"10.1142\/s0218127421300378","type":"journal-article","created":{"date-parts":[[2021,9,27]],"date-time":"2021-09-27T02:26:53Z","timestamp":1632709613000},"page":"2130037","source":"Crossref","is-referenced-by-count":2,"title":["Dynamics and Bifurcations in Networks Designed for Frequency Conversion"],"prefix":"10.1142","volume":"31","author":[{"given":"Visarath","family":"In","sequence":"first","affiliation":[{"name":"Naval Information Warfare Center Pacific, Code 71740, 53560 Hull Street, San Diego, CA 92152-5001, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0580-3657","authenticated-orcid":false,"given":"Antonio","family":"Palacios","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics, San Diego State University, San Diego, CA 92182, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,9,25]]},"reference":[{"key":"S0218127421300378BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(99)00118-8"},{"key":"S0218127421300378BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0147-9"},{"key":"S0218127421300378BIB003","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/3\/3\/003"},{"volume-title":"Synchronization: From Simple to Complex","year":"2009","author":"Balanov A.","key":"S0218127421300378BIB004"},{"key":"S0218127421300378BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2005.11.077"},{"key":"S0218127421300378BIB006","doi-asserted-by":"publisher","DOI":"10.1088\/0957-0233\/19\/7\/075203"},{"key":"S0218127421300378BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(00)00097-X"},{"volume-title":"Proc. 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