{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T04:40:35Z","timestamp":1777610435900,"version":"3.51.4"},"reference-count":38,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p> We experimentally demonstrate the effect of dynamic environment coupling in a system of coupled piecewise linear time-delay electronic circuits with mutual and subsystem coupling configurations. Time-delay systems are essentially infinite-dimensional systems with complex phase-space properties. Dynamic environmental coupling with mutual coupling configuration has been recently theoretically shown to induce complete (CS) and inverse synchronizations (IS) [Resmi et al., 2010] in low-dimensional dynamical systems described by ordinary differential equations (ODEs), for which no experimental confirmation exists. In this paper, we investigate the effect of dynamic environment for the first time in mutual as well as subsystem coupling configurations in coupled time-delay differential equations theoretically and experimentally. Depending upon the coupling strength and the nature of feedback, we observe a transition from asynchronization to CS via phase synchronization and from asynchronization to IS via inverse-phase synchronization in both coupling configurations. The results are corroborated by snapshots of the time evolution, phase projection plots and localized sets as observed from the oscilloscope. Further, the synchronization is also confirmed numerically from the largest Lyapunov exponents, correlation of probability of recurrence and correlation coefficient of the coupled time-delay system. We also present a linear stability analysis and obtain conditions for different synchronized states. <\/jats:p>","DOI":"10.1142\/s0218127414500679","type":"journal-article","created":{"date-parts":[[2014,5,28]],"date-time":"2014-05-28T12:08:41Z","timestamp":1401278921000},"page":"1450067","source":"Crossref","is-referenced-by-count":13,"title":["Dynamic Environment Coupling Induced Synchronized States in Coupled Time-Delayed Electronic Circuits"],"prefix":"10.1142","volume":"24","author":[{"given":"R.","family":"Suresh","sequence":"first","affiliation":[{"name":"Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India"},{"name":"Centre for Nonlinear Science &amp; Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613402, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Srinivasan","sequence":"additional","affiliation":[{"name":"Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. V.","family":"Senthilkumar","sequence":"additional","affiliation":[{"name":"Institute of Physics, Humboldt University, Berlin D-12489, Germany"},{"name":"Centre for Nonlinear Science &amp; Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613402, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Murali","sequence":"additional","affiliation":[{"name":"Department of Physics, Anna University, Chennai, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Lakshmanan","sequence":"additional","affiliation":[{"name":"Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Kurths","sequence":"additional","affiliation":[{"name":"Institute of Physics, Humboldt University, Berlin D-12489, Germany"},{"name":"Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam D-14473, Germany"},{"name":"Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,5,28]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms1476"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02329-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-0920-x"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms2368"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2011.2107190"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.2001.2370"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.07.022"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.123902"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1529\/biophysj.104.058388"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.78.011108"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.12.030"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.035201"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2008.04.015"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ceb.2004.12.007"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139903436029"},{"key":"rf16","volume-title":"Chaos in Nonlinear Oscillators: Controlling and Synchronization","author":"Lakshmanan M.","year":"1995"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14938-2"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2006.11.001"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2009.0225"},{"key":"rf20","first-page":"263","volume":"40","author":"Peng J.","journal-title":"J. Comput. Res. Dev."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.026216"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-9982-9"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755743"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.178101"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.016207"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.046216"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.1804"},{"key":"rf28","first-page":"223","volume":"15","author":"Schibler U.","journal-title":"Curr. Opin. Cell Biol."},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.016211"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.035205"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.066210"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1063\/1.3125721"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.020902"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411028751"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1063\/1.3591791"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1021\/jp060732z"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1177\/0748730405275653"},{"key":"rf38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.230602"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127414500679","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:23:30Z","timestamp":1565137410000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127414500679"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5]]},"references-count":38,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2014,5,28]]},"published-print":{"date-parts":[[2014,5]]}},"alternative-id":["10.1142\/S0218127414500679"],"URL":"https:\/\/doi.org\/10.1142\/s0218127414500679","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5]]}}}