{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,28]],"date-time":"2024-07-28T09:56:07Z","timestamp":1722160567483},"reference-count":17,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2007,8,20]],"date-time":"2007-08-20T00:00:00Z","timestamp":1187568000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory & Apps"],"published-print":{"date-parts":[[2008,6]]},"abstract":"Abstract<\/jats:title>A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential\u2010algebraic form. The method is based on the harmonic balance (HB) technique, and exploits the same Jacobian matrix of the nonlinear system used in the Newton iterative numerical solution of the HB equations for the determination of the periodic steady state. To demonstrate the approach, it is applied to the determination of the bifurcation curves in the parameters' space of Chua's circuit with cubic nonlinearity, and to the study of the dynamics of the limit cycle of a Colpitts oscillator. Copyright \u00a9 2007 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/cta.440","type":"journal-article","created":{"date-parts":[[2007,8,20]],"date-time":"2007-08-20T10:48:12Z","timestamp":1187606892000},"page":"421-439","source":"Crossref","is-referenced-by-count":49,"title":["A frequency\u2010domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential\u2010algebraic equations"],"prefix":"10.1002","volume":"36","author":[{"given":"F. L.","family":"Traversa","sequence":"first","affiliation":[]},{"given":"F.","family":"Bonani","sequence":"additional","affiliation":[]},{"given":"S. Donati","family":"Guerrieri","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,8,20]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Stability Analysis of Nonlinear Microwave Circuits","author":"Su\u00e1rez A","year":"2003"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4211-4"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.387"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2081-5"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2421-9"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008298205786"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/81.780370"},{"key":"e_1_2_1_9_2","volume-title":"Dynamics of Feedback Systems","author":"Mees AI","year":"1981"},{"key":"e_1_2_1_10_2","volume-title":"Linear and Nonlinear Circuits","author":"Chua LO","year":"1987"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1997.5714"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-007X(200003\/04)28:2<163::AID-CTA101>3.0.CO;2-K"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719581"},{"key":"e_1_2_1_14_2","volume-title":"Numerical Recipes in Fortran 77","author":"Press WH","year":"1997"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2006.882586"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCAD.2006.882602"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749300026X"},{"key":"e_1_2_1_18_2","unstructured":"MaggioGM KennedyMP GilliM.An approximate analytical approach for predicting period\u2010doubling in the Colpitts oscillator. Proceedings of IEEE International Symposium on Circuits and Systems vol.3 Monterey CA U.S.A. 1998;671\u2013674."}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fcta.440","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.440","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T11:40:47Z","timestamp":1699962047000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.440"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,8,20]]},"references-count":17,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,6]]}},"alternative-id":["10.1002\/cta.440"],"URL":"http:\/\/dx.doi.org\/10.1002\/cta.440","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,8,20]]}}}