Inferring the fractional nature of Wu Baleanu trajectories

[EN] We infer the parameters of fractional discrete Wu Baleanu time series by using machine learning architectures based on recurrent neural networks. Our results shed light on howclearly one can determine that a given trajectory comes from a specific fractional discrete dynamical system by estimati...

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Detalhes bibliográficos
Autores: Conejero, J. Alberto|||0000-0003-3681-7533, Garibo-i-Orts, Óscar, Lizama, Carlos
Tipo de documento: artigo
Data de publicação:2023
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/204627
Acesso em linha:https://riunet.upv.es/handle/10251/204627
Access Level:Acceso aberto
Palavra-chave:Fractional dynamical systems
Chaotic systems
Machine learning
Recurrent neural networks
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Descrição
Resumo:[EN] We infer the parameters of fractional discrete Wu Baleanu time series by using machine learning architectures based on recurrent neural networks. Our results shed light on howclearly one can determine that a given trajectory comes from a specific fractional discrete dynamical system by estimating the fractional exponent and the growth parameter mu. With this example, we also show how machine learning methods can be incorporated into the study of fractional dynamical systems.