Parameter prediction for lorenz attractor by using deep neural network

Abstract

Deep learning models develop from the idea of artificial neural networks. This research presents Deep Neural Network to learn the database, which consists of high precision, a strange Lorenz attractor. Lorenz system is one of the simple chaotic systems, which is a nonlinear and characterized by an unstable dynamic behavior. The research aims to predict the parameter of a strange Lorenz attractor, either yes or no. The method implemented in this paper is the Deep Neural Network by using the Phyton Keras library. For the neural network, the different number of hidden layers employ to compare the accuracy of the system prediction. As a result, the accuracy of the testing result shows that 100% correct prediction when using the testing dataset. Meanwhile, new random data obtained only a 60% correct prediction.