{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T03:02:02Z","timestamp":1692759722973},"reference-count":7,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2004,10]]},"abstract":"<jats:p> Departing from the OGY method reported in 1990, many methodologies for chaos control have been proposed. A major criticism is that most of them are merely straightforward applications of methodologies borrowed from feedback control theory. In fact, an authentic chaos control methodology should rely on the underlying structure (e.g. topology, dynamics, etc.) of chaotic behavior in order to provide simple and successful feedback control algorithms. This brief paper focuses on this objective; namely, to exploit chaos structure to design feedback controllers aimed to eliminate chaos. The well-known Duffing oscillator is used to show how the mechanisms leading to chaotic behavior can be destroyed by means of a simple feedback control. Specifically, it is shown that injected damping, via feedback control, is able to eliminate the transverse homoclinic orbit responsible for the chaotic behavior of the Duffing oscillator. <\/jats:p>","DOI":"10.1142\/s0218127404011533","type":"journal-article","created":{"date-parts":[[2004,11,16]],"date-time":"2004-11-16T12:20:18Z","timestamp":1100607618000},"page":"3661-3670","source":"Crossref","is-referenced-by-count":1,"title":["EXPLOITING THE ATTRACTOR STRUCTURE FOR CHAOS FEEDBACK CONTROL: THE DUFFING OSCILLATOR"],"prefix":"10.1142","volume":"14","author":[{"given":"JOSE","family":"ALVAREZ-RAMIREZ","sequence":"first","affiliation":[{"name":"Departamento de Ingenieria de Procesos e Hidraulica, Universidad Autonoma Metropolitana-Iztapalapa, Apartado Postal 55-534, Mexico D.F., 09340, Mexico"}]},{"given":"GILBERTO","family":"ESPINOSA-PAREDES","sequence":"additional","affiliation":[{"name":"Departamento de Ingenieria de Procesos e Hidraulica, Universidad Autonoma Metropolitana-Iztapalapa, Apartado Postal 55-534, Mexico D.F., 09340, Mexico"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"rf3","first-page":"285","volume":"65","author":"Moon F. C.","journal-title":"J. Sound Vibr."},{"key":"rf4","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/S0375-9601(97)00362-9","volume":"232","author":"Nakajima H.","journal-title":"Phys. Lett."},{"key":"rf5","first-page":"18","author":"Ortega R.","journal-title":"IEEE Contr. Syst. Mag."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.1196"},{"key":"rf7","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/0375-9601(92)90745-8","volume":"170","author":"Pyragas K.","journal-title":"Phys. Lett."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4067-7"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127404011533","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:19:43Z","timestamp":1565191183000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127404011533"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,10]]},"references-count":7,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,10]]}},"alternative-id":["10.1142\/S0218127404011533"],"URL":"https:\/\/doi.org\/10.1142\/s0218127404011533","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,10]]}}}