Plot of Model Trajectories for variable $y$ versus time $t$ (0 to 50). The $y$ -axis ranges from -2 to 2. Two highly oscillatory time series are shown: the Identified Model (Red) and the Truth (Blue). The two trajectories are visually similar, indicating a good fit.

Plot of Model Trajectories for variable $z$ versus time $t$ (0 to 50). The $z$ -axis ranges from -2 to 2. Two highly oscillatory time series are shown: the Identified Model (Red) and the Truth (Blue). The two trajectories are visually similar, indicating a good fit.

Plot of Model Trajectories for variable $x$ versus time $t$ (0 to 50). The $x$ -axis ranges from -1 to 3. Two oscillatory time series are shown: the Identified Model (Red) and the Truth (Blue). The two trajectories are visually similar, indicating a good fit.

Plot of Probability Density Functions (PDFs) for variable $y$ . The horizontal axis ranges from -5 to 5, and the vertical axis ranges from 0 to 0.4. The Identified Model (Red) and Truth (Blue) PDFs are nearly identical, showing a bimodal distribution centered around 0.

Plot of Autocorrelation Functions (ACFs) for variable $y$ . The horizontal axis (lag time) ranges from 0 to 5, and the vertical axis (ACF value) ranges from -0.5 to 1. The Identified Model (Red) and Truth (Blue) ACFs are nearly identical, showing significant correlation at lag 0 and decaying oscillations.

Plot of Probability Density Functions (PDFs) for variable $z$ . The horizontal axis ranges from -2 to 2, and the vertical axis ranges from 0 to 0.4. The Identified Model (Red) and Truth (Blue) PDFs are nearly identical, centered around 0.

Plot of Autocorrelation Functions (ACFs) for variable $z$ . The horizontal axis (lag time) ranges from 0 to 5, and the vertical axis (ACF value) ranges from -0.5 to 1. The Identified Model (Red) and Truth (Blue) ACFs are nearly identical, showing significant correlation at lag 0 and decaying oscillations.

Plot of Probability Density Functions (PDFs) for variable $x$ . The horizontal axis ranges from 0 to 4, and the vertical axis ranges from 0 to 0.6. The Identified Model (Red) and Truth (Blue) PDFs are nearly identical, centered around 1.

Plot of Autocorrelation Functions (ACFs) for variable $x$ . The horizontal axis (lag time) ranges from 0 to 10, and the vertical axis (ACF value) ranges from -0.5 to 1. The Identified Model (Red) and Truth (Blue) ACFs are nearly identical, showing significant correlation at lag 0 and decaying oscillations.