{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T14:13:56Z","timestamp":1718979236289},"reference-count":51,"publisher":"World Scientific Pub Co Pte Ltd","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>Parameter estimation plays an important role in modeling and system identification. However, parameter estimation of chaotic systems has some basic differences with other dynamical systems due to butterfly effect. In this paper, we apply a new cost function for parameter estimation in a very interesting chaotic system, a system with a plane of equilibrium which belongs to a newly introduced category of dynamical systems: systems with hidden attractor. The nonlinear dynamics of this system is described in terms of equilibria and its stability, phase portraits, bifurcation diagram and Lyapunov exponents. In order to minimize the proposed cost function and obtain the correct parameters, we use a new efficient optimization method, Krill Herd algorithm. The results show the success of proposed procedures.<\/jats:p>","DOI":"10.1142\/s0218127416502217","type":"journal-article","created":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T09:22:06Z","timestamp":1483003326000},"page":"1650221","source":"Crossref","is-referenced-by-count":8,"title":["Parameter Identification of a Chaotic Circuit with a Hidden Attractor Using Krill Herd Optimization"],"prefix":"10.1142","volume":"26","author":[{"given":"Shirin","family":"Panahi","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran"}]},{"given":"Sajad","family":"Jafari","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran"}]},{"given":"Viet-Thanh","family":"Pham","sequence":"additional","affiliation":[{"name":"School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam"}]},{"given":"Sifeu Takougang","family":"Kingni","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P. O. Box 46, Maroua, Cameroon"},{"name":"Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP), Department of Physics, Faculty of Science, University of Yaound\u00e9 I, P. O. Box 812, Yaound\u00e9, Cameroon"},{"name":"Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium"}]},{"given":"Abdulhamid","family":"Zahedi","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Kermanshah University of Technology, Kermanshah, Iran"}]},{"given":"Seyed Hassan","family":"Sedighy","sequence":"additional","affiliation":[{"name":"School of New Technologies, Iran University of Science and Technology, Tehran, Iran"}]}],"member":"219","published-online":{"date-parts":[[2016,12,29]]},"reference":[{"key":"S0218127416502217BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000095"},{"key":"S0218127416502217BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.05.010"},{"key":"S0218127416502217BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2014.03.018"},{"key":"S0218127416502217BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2056-7"},{"key":"S0218127416502217BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.01.023"},{"key":"S0218127416502217BIB006","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198507239.001.0001"},{"key":"S0218127416502217BIB007","first-page":"343","volume":"62","author":"Hubler A.","year":"1989","journal-title":"Helvetica Physica Acta"},{"key":"S0218127416502217BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/03081079.2012.664855"},{"key":"S0218127416502217BIB011","volume":"7","author":"Jafari S.","year":"2013","journal-title":"Frontiers Comp. Neurosci."},{"key":"S0218127416502217BIB012","doi-asserted-by":"publisher","DOI":"10.1176\/appi.neuropsych.12010012"},{"key":"S0218127416502217BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2013.01.009"},{"key":"S0218127416502217BIB014","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741450134X"},{"key":"S0218127416502217BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416500310"},{"key":"S0218127416502217BIB016","doi-asserted-by":"crossref","first-page":"760","DOI":"10.1007\/978-0-387-30164-8_630","volume-title":"Encyclopedia of Machine Learning","author":"Kennedy J.","year":"2011"},{"key":"S0218127416502217BIB017","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2014-14076-4"},{"key":"S0218127416502217BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s00034-016-0259-x"},{"key":"S0218127416502217BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.11.067"},{"key":"S0218127416502217BIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127414500102"},{"key":"S0218127416502217BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2011.04.037"},{"key":"S0218127416502217BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2012.05.016"},{"key":"S0218127416502217BIB023","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413300024"},{"key":"S0218127416502217BIB024","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1292-6"},{"key":"S0218127416502217BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2015.04.007"},{"key":"S0218127416502217BIB026","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02470-3"},{"key":"S0218127416502217BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.11.086"},{"key":"S0218127416502217BIB028","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/21\/5\/050507"},{"key":"S0218127416502217BIB029","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1016\/j.amc.2014.01.146","volume":"234","author":"Li J.","year":"2014","journal-title":"Appl. Math. Comput."},{"key":"S0218127416502217BIB030","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413501885"},{"key":"S0218127416502217BIB031","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.1196"},{"key":"S0218127416502217BIB032","first-page":"535","volume":"8","author":"Pham V.-T.","year":"2014","journal-title":"Optoelectron. Adv. Mater. Rapid Commun."},{"key":"S0218127416502217BIB033","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127414500734"},{"key":"S0218127416502217BIB034","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2016.06.111"},{"key":"S0218127416502217BIB035","first-page":"1650069-1","volume":"26","author":"Pham V.-T.","year":"2016","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"S0218127416502217BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijleo.2015.12.048"},{"key":"S0218127416502217BIB037","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2016-02625-8"},{"key":"S0218127416502217BIB038","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2015-02474-y"},{"key":"S0218127416502217BIB039","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127415500613"},{"key":"S0218127416502217BIB040","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.05.028"},{"key":"S0218127416502217BIB041","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2015.06.039"},{"key":"S0218127416502217BIB042","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741550056X"},{"key":"S0218127416502217BIB043","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2009.06.013"},{"key":"S0218127416502217BIB044","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.05.011"},{"key":"S0218127416502217BIB045","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0669-7"},{"key":"S0218127416502217BIB046","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-012-1304-8"},{"key":"S0218127416502217BIB047","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.10.052"},{"key":"S0218127416502217BIB048","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2013.08.031"},{"key":"S0218127416502217BIB049","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-013-1485-9"},{"key":"S0218127416502217BIB050","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.02.123"},{"key":"S0218127416502217BIB051","first-page":"1","volume":"25","author":"Wang G.-G.","year":"2015","journal-title":"Neur. Comp. Appl."},{"key":"S0218127416502217BIB052","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2011.10.040"},{"key":"S0218127416502217BIB053","doi-asserted-by":"publisher","DOI":"10.1016\/0895-7177(91)90078-L"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416502217","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T13:41:00Z","timestamp":1718977260000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416502217"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,15]]},"references-count":51,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2016,12,29]]},"published-print":{"date-parts":[[2016,12,15]]}},"alternative-id":["10.1142\/S0218127416502217"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416502217","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]]}}}