TYPE-ZERO SADDLE-NODE BIFURCATIONS AND STABILITY REGION ESTIMATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
07/11/2013
07/11/2013
2012
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| Resumo |
A 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. FAPESP [2010/00574-9, 2011/06938-5] FAPESP CNPq CNPq IFBA IFBA |
| Identificador |
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, SINGAPORE, v. 22, n. 1, pp. 200-202, JAN, 2012 0218-1274 http://www.producao.usp.br/handle/BDPI/43009 10.1142/S0218127412500204 |
| Idioma(s) |
eng |
| Publicador |
WORLD SCIENTIFIC PUBL CO PTE LTD SINGAPORE |
| Relação |
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Direitos |
closedAccess Copyright WORLD SCIENTIFIC PUBL CO PTE LTD |
| Palavras-Chave | #STABILITY REGION #BASIN OF ATTRACTION #STABILITY BOUNDARY #SADDLE-NODE BIFURCATION #OPTIMAL ESTIMATES OF STABILITY REGION #ASYMPTOTIC STABILITY #MATHEMATICS, INTERDISCIPLINARY APPLICATIONS #MULTIDISCIPLINARY SCIENCES |
| Tipo |
article original article publishedVersion |
