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Título: | Complex networks approach for dynamical characterization of nonlinear systems. |
Autor(es): | Freitas, Vander Luis de Souza Lacerda, Juliana Cestari Macau, Elbert Einstein Nehrer |
Palavras-chave: | Nonlinear dynamics Time series analysis |
Data do documento: | 2019 |
Referência: | FREITAS, V. L. S.; LACERDA, J. C.; MACAU, E. E. N. Complex networks approach for dynamical characterization of nonlinear systems. International Journal of Bifurcation and Chaos, v. 29, n. 13, artigo 1950188, 2019. Disponível em: <https://www.worldscientific.com/doi/abs/10.1142/S0218127419501888>. Acesso em: 06 jul. 2022. |
Resumo: | Bifurcation diagrams and Lyapunov exponents are the main tools for dynamical systems char- acterization. However, they are often computationally expensive and complex to calculate. We present two approaches for dynamical characterization of nonlinear systems via the generation of an undirected complex network that is built from their time series. Periodic windows and chaos can be detected by analyzing network statistics like average degree, density and betweenness centrality. Results are assessed in two discrete time nonlinear maps. |
URI: | http://www.repositorio.ufop.br/jspui/handle/123456789/15841 |
Link para o artigo: | https://www.worldscientific.com/doi/abs/10.1142/S0218127419501888 |
DOI: | https://doi.org/10.1142/S0218127419501888 |
ISSN: | 1793-6551 |
Aparece nas coleções: | DECOM - Artigos publicados em periódicos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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ARTIGO_ComplexNetworksApproach.pdf Restricted Access | 2,94 MB | Adobe PDF | Visualizar/Abrir |
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