| Texto completo | |
| Autor(es): |
Nijholt, Eddie
;
Pereira, Tiago
;
Queiroz, Fernando C.
;
Turaev, Dmitry
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Communications in Mathematical Physics; v. 401, n. 3, p. 42-pg., 2023-04-03. |
| Resumo | |
We study emergent oscillatory behavior in networks of diffusively coupled nonlinear ordinary differential equations. Starting from a situation where each isolated node possesses a globally attracting equilibrium point, we give, for an arbitrary network configuration, general conditions for the existence of the diffusive coupling of a homogeneous strength which makes the network dynamics chaotic. The method is based on the theory of local bifurcations we develop for diffusively coupled networks. We, in particular, introduce the class of the so-called versatile network configurations and prove that the Taylor coefficients of the reduction to the center manifold for any versatile network can take any given value. (AU) | |
| Processo FAPESP: | 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria |
| Beneficiário: | Francisco Louzada Neto |
| Modalidade de apoio: | Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs |
| Processo FAPESP: | 20/01100-2 - Formas normais e redução de variedade central para redes |
| Beneficiário: | Eeltje Cornelis Nijholt |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |