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More recently, phase-specific adaptive DBS (aDBS), whereby the application of stimulation is locked to a particular phase of tremor, has been proposed as a strategy to improve therapeutic efficacy and decrease side effects. In this work, in the context of these phase-specific aDBS strategies, we investigate the dynamical behavior of large populations of coupled neurons in response to near-periodic stimulation, namely, stimulation that is periodic except for a slowly changing amplitude and phase offset that can be used to coordinate the timing of applied input with a specified phase of model oscillations. Using an adaptive phase-amplitude reduction strategy, we illustrate that for a large population of oscillatory neurons, the temporal evolution of the associated phase distribution in response to near-periodic forcing can be captured using a reduced order model with four state variables. Subsequently, we devise and validate a closed-loop control strategy to disrupt synchronization caused by coupling. Additionally, we identify strategies for implementing the proposed control strategy in situations where underlying model equations are unavailable by estimating the necessary terms of the reduced order equations in real-time from observables.<\/jats:p>","DOI":"10.1063\/5.0076508","type":"journal-article","created":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T15:49:32Z","timestamp":1648482572000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":11,"title":["Control of coupled neural oscillations using near-periodic inputs"],"prefix":"10.1063","volume":"32","author":[{"given":"Kaitlyn","family":"Toth","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Tennessee , Knoxville, Tennessee 37996, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1363-147X","authenticated-orcid":false,"given":"Dan","family":"Wilson","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Tennessee , Knoxville, Tennessee 37996, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2022,3,28]]},"reference":[{"issue":"13","key":"2023080921162622000_c1","doi-asserted-by":"publisher","first-page":"1679","DOI":"10.1002\/mds.25923","article-title":"Coordinated reset neuromodulation for Parkinson\u2019s disease: Proof-of-concept study","volume":"29","year":"2014","journal-title":"Mov. 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