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Nonlinear dynamics extraction for time-delay systems using modular neural networks synchronization and prediction

AuthorsOrtín González, Silvia ; Gutiérrez, José M. ; Pesquera, Luis ; Pesquera, Luis ; Vasquez, Hernando
KeywordsFunctional networks
Neural networks
Delayed chaotic systems
Issue Date2005
CitationPhysica A: Statistical Mechanics and its Applications 351(1): 133-141 (2005)
AbstractIt is shown that the nonlinear dynamics of chaotic time-delay systems can be reconstructed using a new type of neural network with two modules: one for nonfeedback part with input data delayed by the embedding time, and a second one for the feedback part with input data delayed by the feedback time. The method is applied to both simulated and experimental data from an electronic analog circuit of the Mackey–Glass system. Better results are obtained for the modular than for feedforward neural networks for the same number of parameters. It is found that the complexity of the neural network model required to reconstruct nonlinear dynamics does not increase with the delay time. Synchronization between the data and the model with diffusive coupling is also achieved. We have also shown by iterating the model from the present point that the dynamics can be predicted with a forecast horizon larger than the feedback delay time.
Identifiersdoi: 10.1016/j.physa.2004.12.015
issn: 0378-4371
Appears in Collections:(IFCA) Artículos
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