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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, номер 3, страницы 53–62
(Mi basm178)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Research articles
Stability and fold bifurcation in a system of two coupled demand-supply models
Mihaela Sterpu, Carmen Rocşoreanu University of Craiova, Departament of Mathematics and Computer Science, Craiova, Romania
Аннотация:
A model of two coupled demand-supply systems, depending on 4 parameters is considered. We found that the dynamical system associated with this model may have at most two symmetric and at most two nonsymmetric equilibria as the parameters vary.
The topological type of equilibria is established and the locus in the parameter space of the values corresponding to nonhyperbolic equilibria is determined.
We found that the nonhyperbolic singularities can be of fold, Hopf, double-zero (Bogdanov–Takens) or fold-Hopf type.
In addition, the fold bifurcation is studied using the normal form method and the center manifold theory.
Ключевые слова и фразы:
Coupled dynamical systems, normal form, fold bifurcation, center manifold.
Поступила в редакцию: 22.11.2004
Образец цитирования:
Mihaela Sterpu, Carmen Rocşoreanu, “Stability and fold bifurcation in a system of two coupled demand-supply models”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 3, 53–62
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm178 https://www.mathnet.ru/rus/basm/y2004/i3/p53
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