TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS

dc.creatorAmaral, Fabiolo M.
dc.creatorAlberto, Luís Fernando Costa
dc.date.accessioned2013-11-07T11:25:38Z
dc.date.accessioned2018-07-04T16:16:42Z
dc.date.available2013-11-07T11:25:38Z
dc.date.available2018-07-04T16:16:42Z
dc.date.created2013-11-07T11:25:38Z
dc.date.issued2012
dc.identifierINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, SINGAPORE, v. 22, n. 1, pp. 200-202, JAN, 2012
dc.identifier0218-1274
dc.identifierhttp://www.producao.usp.br/handle/BDPI/43009
dc.identifier10.1142/S0218127412500204
dc.identifierhttp://dx.doi.org/10.1142/S0218127412500204
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1633768
dc.description.abstractA complete characterization of the stability boundary of a class of nonlinear dynamical systems that admit energy functions is developed in this paper. This characterization generalizes the existing results by allowing the type-zero saddle-node nonhyperbolic equilibrium points on the stability boundary. Conceptual algorithms to obtain optimal estimates of the stability region (basin of attraction) in the form of level sets of a given family of energy functions are derived. The behavior of the stability region and the corresponding estimates are investigated for parameter variation in the neighborhood of a type-zero saddle-node bifurcation value.
dc.languageeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.publisherSINGAPORE
dc.relationINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
dc.rightsCopyright WORLD SCIENTIFIC PUBL CO PTE LTD
dc.rightsclosedAccess
dc.subjectSTABILITY REGION
dc.subjectBASIN OF ATTRACTION
dc.subjectSTABILITY BOUNDARY
dc.subjectSADDLE-NODE BIFURCATION
dc.subjectOPTIMAL ESTIMATES OF STABILITY REGION
dc.titleTYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución