On semi-analytical procedure for detecting limit cycle bifurcations

dc.creatorRobbio, Federico I.
dc.creatorAlonso, Diego
dc.creatorMoiola, Jorge Luis
dc.date.accessioned2020-05-08T20:16:28Z
dc.date.accessioned2022-10-15T14:38:35Z
dc.date.available2020-05-08T20:16:28Z
dc.date.available2022-10-15T14:38:35Z
dc.date.created2020-05-08T20:16:28Z
dc.date.issued2004-12
dc.identifierRobbio, Federico I.; Alonso, Diego; Moiola, Jorge Luis; On semi-analytical procedure for detecting limit cycle bifurcations; World Scientific; International Journal Of Bifurcation And Chaos; 14; 03; 12-2004; 951-970
dc.identifier0218-1274
dc.identifierhttp://hdl.handle.net/11336/104680
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4397821
dc.description.abstractThis paper reports some computation of periodic solutions arising from Hopf bifurcations in order to build up a more accurate procedure for semi-analytical approximations to detect limit cycle bifurcations. The approximation formulas are derived using nonlinear feedback systems theory and the harmonic balance method. The monodromy matrix is computed for several simple nonlinear flows to detect the first bifurcation of the cycles in the neighborhood of the original Hopf bifurcation.
dc.languageeng
dc.publisherWorld Scientific
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/10.1142/S0218127404009703
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0218127404009703
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectMONODROMY MATRIX
dc.subjectHARMONIC BALANCE
dc.subjectLIMIT CYCLES
dc.subjectHOPF BIFURCATION
dc.titleOn semi-analytical procedure for detecting limit cycle bifurcations
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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