{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T17:14:44Z","timestamp":1758474884492},"reference-count":42,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,7]]},"abstract":"<jats:p> Quasiperiodically forced series LCR circuit with simple nonlinear element is studied analytically and experimentally. To the best of our knowledge, this is the first time that strange nonchaotic attractors (SNAs) are studied analytically. From the explicit analytical solution, the bifurcation process is shown. With a single negative conduction region of the nonlinear element two routes namely, Heagy\u2013Hammel and fractalization routes to the birth of SNA are identified. The analytical analysis are confirmed by laboratory hardware experiments. In addition, for the first time, a detailed stroboscopic Poincar\u00e9 map is generated experimentally for two different frequencies, for the above two routes, which clearly confirm the presence of SNAs in these two routes. Also, from the experimental data of the corresponding attractors, we quantitatively confirm the presence of SNAs through singular-continuous spectrum analysis. The analytical results as well as experimental observations are characterized qualitatively in terms of phase portraits, Poincar\u00e9 map, power spectrum, and sensitivity dependance on initial conditions. <\/jats:p>","DOI":"10.1142\/s0218127415300207","type":"journal-article","created":{"date-parts":[[2015,8,4]],"date-time":"2015-08-04T06:19:50Z","timestamp":1438669190000},"page":"1530020","source":"Crossref","is-referenced-by-count":11,"title":["Analytical Study and Experimental Confirmation of SNA Through Poincar\u00e9 Maps in a Quasiperiodically Forced Electronic Circuit"],"prefix":"10.1142","volume":"25","author":[{"given":"A.","family":"Arulgnanam","sequence":"first","affiliation":[{"name":"Department of Physics, St. John's College, Palayamkottai 627 002, India"}]},{"given":"Awadesh","family":"Prasad","sequence":"additional","affiliation":[{"name":"Department of Physics and Astrophysics, University of Delhi, Delhi 110 007, India"}]},{"given":"K.","family":"Thamilmaran","sequence":"additional","affiliation":[{"name":"Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India"}]},{"given":"M.","family":"Daniel","sequence":"additional","affiliation":[{"name":"Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India"}]}],"member":"219","published-online":{"date-parts":[[2015,8,3]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.53.4451"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2009.03.156"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.55.2103"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i2002-00533-6"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.39.2593"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000393"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.3769"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/6006"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(84)90282-3"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02429848"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(94)90061-2"},{"key":"rf12","first-page":"140","volume":"71","author":"Kaneko K.","year":"1984","journal-title":"Prog. 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