| Texto completo | |
| Autor(es): |
Cardin, Pedro Toniol
;
Llibre, Jaume
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR DYNAMICS; v. 88, n. 1, p. 547-553, APR 2017. |
| Citações Web of Science: | 3 |
| Resumo | |
In this paper we study the existence of transcritical and zero-Hopf bifurcations of the third-order ordinary differential equation x (x) triple over dot + a<(x)double over dot> + b (b) over dot +cx - x(2) = 0, called the Genesio equation, which has a unique quadratic nonlinear term and three real parameters. More precisely, writing this differential equation as a first-order differential system in we prove: first that the system exhibits a transcritical bifurcation at the equilibrium point located at the origin of coordinates when and the parameters (a, b) are in the set [(a,b) is an element of R-2 : b not equal -]\textbackslash{}[(0,b)is an element of R-2: b > 0], and second that the system has a zero-Hopf bifurcation also at the equilibrium point located at the origin when and a = c = 0 and b > 0. (AU) | |
| Processo FAPESP: | 13/24541-0 - Teorias ergódica e qualitativa dos sistemas dinâmicos |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |