Lorenz System Simulation Dataset

Lorenz system simulation: - Wiki: https://en.wikipedia.org/wiki/Lorenz_system - Original Article: https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml - Tau sims: https://arxiv.org/pdf/2207.00521.pdf - Rho exp: https://arxiv.org/pdf/2207.00521.pdf - Rho sin: https://pubs.aip.org/aip/cha/article/31/3/033149/342213/Using-machine-learning-to-predict-statistical Terminology: - Time span or time range : duration of time over which the simulation runs. - Time step or delta time : incremental time interval the simulation progresses. - Initial conditions (IC) : initial values of the dependent variables and derivs. Data Generation: The datasets are generated using MATLAB, i.e. utilizing the ODE45 solver with multi-step integration. The ODE45 solver function implements the Runge-Kutta method with a variable time step for efficient computations. Each simulation starts with random initial conditions in the range [0, 1]. The time span for each simulation ranges from 1 to 100 with a time step of 0.01. File Information: Each CSV file contains a 2D array, mostly of the form: sim number, subsim number, t, x, y, z, rho or rho_0 value. The default Lorenz System parameters are sigma = 10, rho = 28 and beta = 8/3. The files where the parameters were changed are named with the parameters values. Additional information: For additional information about the datasets, check the !INFO!.png file !INFO!.png