{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T17:08:14Z","timestamp":1774458494240,"version":"3.50.1"},"reference-count":56,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/USG.html"}],"funder":[{"DOI":"10.13039\/100000148","name":"NSF CAREER Award","doi-asserted-by":"publisher","award":["ECCS-1553863"],"award-info":[{"award-number":["ECCS-1553863"]}],"id":[{"id":"10.13039\/100000148","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000149","name":"ERC Program of the NSF and DOE","doi-asserted-by":"publisher","award":["EEC-1041877"],"award-info":[{"award-number":["EEC-1041877"]}],"id":[{"id":"10.13039\/100000149","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2018]]},"DOI":"10.1109\/access.2017.2787053","type":"journal-article","created":{"date-parts":[[2017,12,25]],"date-time":"2017-12-25T14:10:39Z","timestamp":1514211039000},"page":"9201-9217","source":"Crossref","is-referenced-by-count":20,"title":["Nonlinear Modal Decoupling of Multi-Oscillator Systems With Applications to Power Systems"],"prefix":"10.1109","volume":"6","author":[{"given":"Bin","family":"Wang","sequence":"first","affiliation":[{"name":"University of Tennessee, Knoxville, TN, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0305-2725","authenticated-orcid":false,"given":"Kai","family":"Sun","sequence":"additional","affiliation":[{"name":"University of Tennessee, Knoxville, TN, USA"}]},{"given":"Wei","family":"Kang","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA, USA"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2553583"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2016.2535384"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.1992.230465"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2015.7286293"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/PES.2007.385524"},{"key":"ref30","first-page":"345","article-title":"Normal forms of nonlinear control systems","author":"kang","year":"2006","journal-title":"Chaos in Automatic Control"},{"key":"ref37","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1037-5","author":"arnold","year":"1988","journal-title":"Geometrical Methods in the Theory of Ordinary Differential Equations"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2003.814883"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2006.873110"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/59.667357"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167860"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684366"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/9.935059"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-4561-3"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0303-2647(70)90004-3"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2007.05.052"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/9.481553"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2010.02.017"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.2006821"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.895843"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/31.1833"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/0308001"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"1387","DOI":"10.1109\/TPWRS.2004.825981","article-title":"Definition and classification of power system stability IEEE\/CIGRE joint task force on stability terms and definitions","volume":"19","author":"kundur","year":"2004","journal-title":"IEEE Trans Power Syst"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2014.6939179"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2015.2477080"},{"key":"ref55","author":"wang","year":"2015","journal-title":"Power System Differential-Algebraic Equations"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/59.336079"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1109\/T-PAS.1975.31895"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/PSCE.2004.1397587"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.04.012"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/PESGM.2015.7286479"},{"key":"ref11","author":"arenas","year":"2008","journal-title":"Synchronization in Complex Networks"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1212134110"},{"key":"ref13","first-page":"4998","article-title":"Synchronization assessment in power networks and coupled oscillators","author":"d\u00f6rfler","year":"2012","journal-title":"Proc IEEE Conf Decision Control"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1038\/35065745"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2418400"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-9274(02)00116-2"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1115\/1.3627262"},{"key":"ref18","author":"whittaker","year":"1985","journal-title":"A Treatise on the Analytical Dynamics of Particles and Rigid Bodies"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2007.05.058"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183105007261"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69689-3"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4067-7"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/0370-1573(79)90023-1"},{"key":"ref8","author":"nayfeh","year":"2008","journal-title":"Nonlinear Oscillations"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1002\/0471722901"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-26641-1"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.10.009"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2003.12.011"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2004.841211"},{"key":"ref48","author":"wang","year":"2017","journal-title":"Relative and mean motions of multi-machine power systems in classical model"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/b97515"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/59.32456"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.1985.268605"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0584-y"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013922131043"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8274985\/08239808.pdf?arnumber=8239808","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T17:42:01Z","timestamp":1760722921000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8239808\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":56,"URL":"https:\/\/doi.org\/10.1109\/access.2017.2787053","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]}}}