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The Blekhman perturbation (direct partition of motion) and the Renormalization group technique have been employed to study how the signal amplitude plays a pivotal role in modulating the limit-cycle dynamics as well as the subharmonic generation. While the conventional studies use forcing strength as the control parameter, we use the signal strength as the tuning element, appearing as a more efficient and physically observable measure. Our analytical estimations are well supported by numerical simulations.<\/jats:p>","DOI":"10.1063\/5.0302846","type":"journal-article","created":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T13:55:52Z","timestamp":1765202152000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Vibrational tuning of subharmonic entrainment and limit-cycle stability: A unified control mechanism"],"prefix":"10.1063","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2049-3653","authenticated-orcid":false,"given":"Somnath","family":"Roy","sequence":"first","affiliation":[{"name":"Institute of Engineering & Management, University of Engineering & Management 1 , Kolkata 700091, West Bengal,","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Debapriya","family":"Das","sequence":"additional","affiliation":[{"name":"Rammohan College 2 , Kolkata 700009, West Bengal,","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dhruba","family":"Banerjee","sequence":"additional","affiliation":[{"name":"Department of Physics, Jadavpur University 3 , Kolkata 700032, West Bengal,","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2025,12,8]]},"reference":[{"key":"2025120808554649400_c1","doi-asserted-by":"publisher","first-page":"L433","DOI":"10.1088\/0305-4470\/33\/45\/103","article-title":"Vibrational resonance","volume":"33","year":"2000","journal-title":"J. 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