{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,15]],"date-time":"2025-12-15T19:53:38Z","timestamp":1765828418307,"version":"3.41.2"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"10","funder":[{"name":"DoD Naval Information Warfare Center (NIWC) Pacific, San Diego","award":["N66001-21-D-0041"],"award-info":[{"award-number":["N66001-21-D-0041"]}]},{"name":"DoD MURI ONR","award":["N00014-23-S-F003"],"award-info":[{"award-number":["N00014-23-S-F003"]}]},{"name":"National Science Foundation","award":["DUE-1930546"],"award-info":[{"award-number":["DUE-1930546"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2024,8]]},"abstract":"<jats:p> Over the past years, we have exploited the bistability features that are commonly found in many individual sensors to develop a network-based [ Acebr\u00f3n et al. ,\u00a0 2003 ;\u00a0 Bulsara et al. ,\u00a0 2004 ;\u00a0 In et al. ,\u00a0 2003a ;\u00a0 In et al. ,\u00a0 2003b ;\u00a0 In et al. ,\u00a0 2005 ;\u00a0 In et al. ,\u00a0 2006 ;\u00a0 In et al. ,\u00a0 2012 ;\u00a0 Palacios et al. ,\u00a0 2005 ] approach to modeling, designing, and fabricating extremely sensitive magnetic- and electric-field sensors capable of resolving field changes as low as 150[Formula: see text]pT and 100[Formula: see text]fAmps, respectively. Higher sensitivity is achieved by exploiting the symmetry of the network to create infinite-period bifurcations that render the ensuing oscillations highly sensitive to symmetry-breaking effects from external signals. In this paper, we study the effects of noise on the response of a network-based electric-field sensor as well as the effects of parameter mismatch, which appear naturally due to material imperfections and noise. The results show that Signal-to-Noise Ratio (SNR) increases sharply near the onset of the infinite-period bifurcation, and they increase further as the coupling strength in the network increases while passing the threshold that leads to oscillatory behavior. Overall, the SNR indicates that the negative effects of highly contaminated signals are well-mitigated by the sensitivity response of the system. In addition, computer simulations show the network-based system to be robust enough to mismatches in system parameters, while the deviations from the nominal parameter values form regions where the oscillations persist. Noise has a smoothing effect over the boundaries of these regions. <\/jats:p>","DOI":"10.1142\/s0218127424300209","type":"journal-article","created":{"date-parts":[[2024,7,17]],"date-time":"2024-07-17T11:41:59Z","timestamp":1721216519000},"source":"Crossref","is-referenced-by-count":3,"title":["Noise and Parameter Mismatch in a Ring Network for Sensing Extremely Low Electric Fields"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0580-3657","authenticated-orcid":false,"given":"Antonio","family":"Palacios","sequence":"first","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics, San Diego State University, San Diego, CA 92182, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jacinto","family":"Tamez","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"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-7675-7281","authenticated-orcid":false,"given":"Mani","family":"Amani","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"}]},{"given":"Visarath","family":"In","sequence":"additional","affiliation":[{"name":"Naval Information Warfare Center Pacific, Code 71780, 53560 Hull Street, San Diego, CA 92152, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,7,17]]},"reference":[{"key":"S0218127424300209BIB001","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.016210"},{"key":"S0218127424300209BIB002","doi-asserted-by":"publisher","DOI":"10.1002\/352760278X"},{"key":"S0218127424300209BIB003","first-page":"152","volume-title":"Magnetic Sensors","author":"Bornhofft W.","year":"1989"},{"key":"S0218127424300209BIB004","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.016120"},{"key":"S0218127424300209BIB005","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.70.036103"},{"key":"S0218127424300209BIB006","doi-asserted-by":"publisher","DOI":"10.1137\/16M1066154"},{"key":"S0218127424300209BIB007","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.98.012203"},{"key":"S0218127424300209BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S021812742130010X"},{"volume-title":"Nonlinear Magnetic Control Devices","year":"1964","author":"Geyger W.","key":"S0218127424300209BIB009"},{"key":"S0218127424300209BIB010","doi-asserted-by":"publisher","DOI":"10.1002\/9783527619269"},{"key":"S0218127424300209BIB011","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.045102"},{"key":"S0218127424300209BIB012","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.244101"},{"key":"S0218127424300209BIB013","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.045104"},{"key":"S0218127424300209BIB014","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.73.066121"},{"key":"S0218127424300209BIB015","doi-asserted-by":"publisher","DOI":"10.1063\/1.3272052"},{"key":"S0218127424300209BIB016","doi-asserted-by":"publisher","DOI":"10.1063\/1.4750032"},{"key":"S0218127424300209BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421300378"},{"volume-title":"The Magnetic Measurement Handbook","year":"1994","author":"Janicke J.","key":"S0218127424300209BIB018"},{"key":"S0218127424300209BIB019","doi-asserted-by":"publisher","DOI":"10.1109\/5.56910"},{"key":"S0218127424300209BIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300348"},{"key":"S0218127424300209BIB021","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.026211"},{"key":"S0218127424300209BIB022","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.103.022206"},{"key":"S0218127424300209BIB023","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127423300276"},{"key":"S0218127424300209BIB024","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300106"},{"key":"S0218127424300209BIB025","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499000444"},{"volume-title":"Bibliography of Fluxgate Magnetometers","year":"1970","author":"Primdahl F.","key":"S0218127424300209BIB026"},{"key":"S0218127424300209BIB027","first-page":"87","volume":"11","author":"Ramsden E.","year":"1994","journal-title":"Sensors"},{"key":"S0218127424300209BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/0304-8853(95)01177-3"},{"key":"S0218127424300209BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/0924-4247(92)80159-Z"},{"key":"S0218127424300209BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-8853(00)00273-0"},{"key":"S0218127424300209BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/S0924-4247(03)00094-3"},{"key":"S0218127424300209BIB032","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2019.03.002"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127424300209","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,20]],"date-time":"2024-08-20T07:10:34Z","timestamp":1724137834000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127424300209"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,17]]},"references-count":32,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2024,8]]}},"alternative-id":["10.1142\/S0218127424300209"],"URL":"https:\/\/doi.org\/10.1142\/s0218127424300209","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2024,7,17]]},"article-number":"2430020"}}