High- accuracy chaotic time series prediction of the flexible beam-ring model based on PCNN-BiLSTM ED networkXinchang Liu, Ying Sun, Aiwen Wang, Junhua Zhang and Luying ZhangEur. Phys. J. Spec. Top., (2024) 1-16DOI: https://doi.org/10.1140/epjs/s11734-024-01347-4