| Texto completo | |
| Autor(es): |
Buzzi, Claudio Aguinaldo
;
Lamb, Jeroen S. W.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Archive for Rational Mechanics and Analysis; v. 175, n. 1, p. 39-84, Jan. 2005. |
| Área do conhecimento: | Ciências Exatas e da Terra - Matemática |
| Assunto(s): | Sistemas dinâmicos Vetores (matemática) |
| Resumo | |
In this paper we study codimension-one Hopf bifurcation from symmetric equilibrium points in reversible equivariant vector fields. Such bifurcations are characterized by a doubly degenerate pair of purely imaginary eigenvalues of the linearization of the vector field at the equilibrium point. The eigenvalue movements near such a degeneracy typically follow one of three scenarios: splitting (from two pairs of imaginary eigenvalues to a quadruplet on the complex plane), passing (on the imaginary axis), or crossing (a quadruplet crossing the imaginary axis). We give a complete description of the behaviour of reversible periodic orbits in the vicinity of such a bifurcation point. For non-reversible periodic solutions, in the case of Hopf bifurcation with crossing eigenvalues, we obtain a generalization of the equivariant Hopf Theorem. (AU) | |
| Processo FAPESP: | 01/01914-9 - Estabelecer um resultado análogo ao Teorema de Hopf equivariante no contexto da Teoria Reversível Equivariante |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |