Brem Navas Many recent publications on the merging of neural networks, machine learning, and chaotic approaches have been published. Here are a couple of such examples:
"A Review of Neural Network-Based Machine Learning Algorithms for Chaotic Time Series Prediction" (2019)
"Combining Neural Networks and Machine Learning with Chaotic Maps: A Review" (2019)
"Deep Learning and Machine Learning for Chaotic Time Series Prediction: A Comparative Study" (2019)
These papers investigate several ways for employing neural networks and machine learning techniques to forecast chaotic time series, as well as provide a state-of-the-art review.
You may be able to discover these papers through an internet search or through your institution's library resources. Alternatively, you might try looking for these publications on an online repository like arXiv, which allows free access to a wide range of scholarly works.