{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,7,7]],"date-time":"2022-07-07T14:31:59Z","timestamp":1657204319978},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"13","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,12,15]]},"abstract":"<jats:p> Interactions involving conjugate coupling and feedback have been known to induce rhythmogenesis in Chua\u2019s circuits exhibiting fixed point behavior [Singla et al., 2011; Mandal et al., 2013]. It was reported, in these works, that beyond a threshold value of coupling\/feedback strength, interaction term involving difference of conjugate variables can induce oscillations in Chua\u2019s circuit. Furthermore, it has been observed that the parametric thresholds, in nonlinear oscillators, can be regulated by suitable forcing techniques [Parmananda et al., 2001; Mahara et al., 2005]. In the present work, a conjunction of these two ideas has been entertained i.e. we study the rhythmogenesis in Chua\u2019s circuit when the conjugate coupling\/feedback terms are modulated sinusoidally. It was noted that, when the forcing frequency lies in the vicinity of the natural frequency of Chua\u2019s circuit, maximum lowering of the threshold coupling\/feedback constant occurred. Appearance of Arnold\u2019s tongue was also observed as a result of these perturbations. Numerical results have been complimented with the experimental observations. <\/jats:p>","DOI":"10.1142\/s021812741650214x","type":"journal-article","created":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T09:22:06Z","timestamp":1483003326000},"page":"1650214","source":"Crossref","is-referenced-by-count":1,"title":["Resonance Induced Rhythmogenesis in Chua\u2019s Circuits Using Conjugate Variables"],"prefix":"10.1142","volume":"26","author":[{"given":"Pawan","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India"}]},{"given":"Anshul","family":"Avasthi","sequence":"additional","affiliation":[{"name":"Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India"}]},{"given":"Shreyans","family":"Jain","sequence":"additional","affiliation":[{"name":"Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India"}]},{"given":"Tanu","family":"Singla","sequence":"additional","affiliation":[{"name":"Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India"}]},{"given":"P.","family":"Parmananda","sequence":"additional","affiliation":[{"name":"Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India"}]}],"member":"219","published-online":{"date-parts":[[2016,12,29]]},"reference":[{"key":"S021812741650214XBIB001","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.58.7186"},{"key":"S021812741650214XBIB002","doi-asserted-by":"publisher","DOI":"10.1038\/330749a0"},{"key":"S021812741650214XBIB003","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.244101"},{"key":"S021812741650214XBIB004","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.52.R3321"},{"key":"S021812741650214XBIB005","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.54.5575"},{"key":"S021812741650214XBIB006","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.046213"},{"key":"S021812741650214XBIB007","doi-asserted-by":"publisher","DOI":"10.1063\/1.3439228"},{"key":"S021812741650214XBIB008","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.46.3250"},{"key":"S021812741650214XBIB009","doi-asserted-by":"publisher","DOI":"10.1021\/jp952243x"},{"key":"S021812741650214XBIB010","doi-asserted-by":"publisher","DOI":"10.1021\/jp0006781"},{"key":"S021812741650214XBIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.01.014"},{"key":"S021812741650214XBIB012","doi-asserted-by":"publisher","DOI":"10.1063\/1.4793539"},{"key":"S021812741650214XBIB013","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.R1792"},{"key":"S021812741650214XBIB014","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.64.037202"},{"key":"S021812741650214XBIB015","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.238302"},{"key":"S021812741650214XBIB016","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.031110"},{"key":"S021812741650214XBIB017","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.775"},{"key":"S021812741650214XBIB018","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.056204"},{"key":"S021812741650214XBIB019","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.035204"},{"key":"S021812741650214XBIB020","doi-asserted-by":"publisher","DOI":"10.1063\/1.2905146"},{"key":"S021812741650214XBIB021","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.030102"},{"key":"S021812741650214XBIB022","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i2001-00482-6"},{"key":"S021812741650214XBIB023","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(91)90201-J"},{"key":"S021812741650214XBIB024","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.83.026210"},{"key":"S021812741650214XBIB025","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.3865"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812741650214X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:40:20Z","timestamp":1565152820000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812741650214X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,15]]},"references-count":25,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2016,12,29]]},"published-print":{"date-parts":[[2016,12,15]]}},"alternative-id":["10.1142\/S021812741650214X"],"URL":"https:\/\/doi.org\/10.1142\/s021812741650214x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,15]]}}}