Recovering discrete delayed fractional equations from trajectories

[EN] We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it has some delay effect or not and also to characterize th...

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Detalles Bibliográficos
Autores: Conejero, J. Alberto|||0000-0003-3681-7533, Garibo-i-Orts, Óscar, Lizama, Carlos
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/205204
Acceso en línea:https://riunet.upv.es/handle/10251/205204
Access Level:acceso abierto
Palabra clave:Chaotic systems
Delayed discrete fractional systems, Fractional dynamical systems
Machinelearning
Recurrent neural networks
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Descripción
Sumario:[EN] We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it has some delay effect or not and also to characterize the fractional component of the underlying generation model.