save2matlab (function)

Purpose

Saves the results of a simulation to a .mat file compatible with MATLAB.

Parameters

• sol: Solution object returned by an ODE solver (e.g., solve_ivp), containing time and state arrays.
• filename: Name of the output file (default: 'data'). The function saves to filename.mat.

Saved Data

The following variables are saved in the .mat file:

• t: Time array (sol.t).
• X: State variables (first N rows of sol.y, transposed).
• Xs: Desymmetrized state variables, transposed.
• Casimirs: Casimir invariants (self.casimir_coeffs).
• date: Current date.
• author: Hardcoded as '[email protected]'.

Features

• Uses scipy.io.savemat to write the data.
• Prints a confirmation message with the file name.

Notes

• Assumes self.N defines the dimension of the physical state.
• self.desymmetrize is used to obtain symmetric-reduced data.