| Texto completo | |
| Autor(es): |
Brugnago, E. L.
;
Felicio, C. C.
;
Beims, M. W.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 32, n. 13, p. 16-pg., 2022-10-01. |
| Resumo | |
This work considers the problem of predicting wing changes, and their duration, in systems able to support three interconnected wings (spirals) in the space of the variables. This is done by exploring the alignment of covariant Lyapunov vectors (CLVs) known to precede the occurrence of peaks and regime changes in some chaotic systems. Here, the alignment of the CLVs is combined with classification procedures, machine learning techniques and nearest-neighbors analysis to predict the duration inside coupled wings. The classification procedure has distinct classes defined as the number of maxima of one variable inside one wing, proportional to the time spent inside each wing. In general, we observe that predictions of significant duration times (around 17 oscillations) inside a wing can be efficiently predicted until four subsequently visited wings. For five to ten subsequently visited wings, the prediction efficiency decreases significantly for more than ten oscillations inside each wing. The numerical comparison shows the superiority of the nearest-neighbors methods over the multilayer perceptrons procedure for the predictions. Remarkably, accuracies larger than 0.9 are obtained for predictions of classes for <= 3 subsequently visited wings. Accuracies higher than 0.5 are obtained for predictions of classes in the <= 6 subsequently visited wings. (AU) | |
| Processo FAPESP: | 18/03211-6 - Dinâmica não linear |
| Beneficiário: | Iberê Luiz Caldas |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 21/12232-0 - Transporte caótico de partículas |
| Beneficiário: | Eduardo Luís Brugnago |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |