COMPUTING OF LYAPUNOV EXPONENTS TECHNIQUES USING NEURAL NETWORKS
DOI:
https://doi.org/10.47839/ijc.3.1.258Keywords:
Lyapunov spectrum, Multilayer Neural Networks, Chaotic processes, Dynamical systemAbstract
The authors examine neural network techniques for computing of Lyapunov spectrum using observations from unknown dynamical system. Such an approach is based on applying of multilayer perceptron (MLP) for forecasting the next state of dynamical system from the previous one. It allows for evaluating the Lyapunov spectrum of unknown dynamical system accurately and efficiently only by using scalar time series. The results of experiments are discussed.References
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