| Texto completo | |
| Autor(es): |
Diniz, R. M. B.
;
Cressoni, J. C.
;
da Silva, M. A. A.
;
Mariz, A. M.
;
de Araujo, J. M.
Número total de Autores: 5
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW E; v. 96, n. 6, p. 7-pg., 2017-12-26. |
| Resumo | |
What are the necessary ingredients for log-periodicity to appear in the dynamics of a random walk model? Can they be subtle enough to be overlooked? Previous studies suggest that long-range damaged memory and negative feedback together are necessary conditions for the emergence of log-periodic oscillations. The role of negative feedback would then be crucial, forcing the system to change direction. In this paper we show that small-amplitude log-periodic oscillations can emerge when the system is driven by positive feedback. Due to their very small amplitude, these oscillations can easily be mistaken for numerical finite-size effects. The models we use consist of discrete-time random walks with strong memory correlations where the decision process is taken frommemory profiles based either on a binomial distribution or on a delta distribution. Anomalous superdiffusive behavior and log-periodic modulations are shown to arise in the large time limit for convenient choices of the models parameters. (AU) | |
| Processo FAPESP: | 11/06757-0 - Processos difusivos: caminhantes aleatórios com memória |
| Beneficiário: | Marco Antonio Alves da Silva |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 11/13685-6 - Modelagem analítica e computacional de sistemas difusivos |
| Beneficiário: | Marco Antonio Alves da Silva |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |
| Processo FAPESP: | 17/01176-6 - Caracterização e efeitos de memória em processos estocásticos |
| Beneficiário: | Marco Antonio Alves da Silva |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Brasil |