Author: Rhys E. Gilbert, University of Southampton DOI: https://doi.org/10.5258/SOTON/D2847 Licence: CC BY Description: Date of collection 2020-2023 Most of the datasets are provided in standard spectral format. The data provided in this dataset is divided as follows: Lorenz: Each image data is zipped accordingly and named appropriately. Three initial conditions are also provided Kuramoto_Sivashinsky: The CLVs are zipped into one file which contains all clvs and adjoint variants The only thing to note is that the adjoint numerical viscosity simulations are zipped into groups of the range of mu Kolmogorov: The clvs are zipped into clv/adjoint pairs and given the underscore_1 Also the numerical viscosity and OCS are zipped into groups of values _500 represents an alpha value of 500 and _1_2 represents a time values of 1 to 2