| Texto completo | |
| Autor(es): |
Ruffino, Paulo R.
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Electronic Communications in Probability; v. 20, MAR 20 2015. |
| Citações Web of Science: | 0 |
| Resumo | |
We consider an epsilon K transversal perturbing vector field in a foliated Brownian motion defined in a foliated tubular neighbourhood of an embedded compact submanifold in R-3. We study the effective behaviour of the system under this epsilon perturbation. If the perturbing vector field K is proportional to the Gaussian curvature at the corresponding leaf, we have that the transversal component, after rescaling the time by t/epsilon, approaches a linear increasing behaviour proportional to the Euler characteristic of M, as epsilon goes to zero. An estimate of the rate of convergence is presented. (AU) | |
| Processo FAPESP: | 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications |
| Beneficiário: | Elbert Einstein Nehrer Macau |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 12/18780-0 - Geometria de Sistemas de Controle, Sistemas Dinâmicos e Estocásticos |
| Beneficiário: | Marco Antônio Teixeira |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |