Symbolic Identification of Non-linear Dynamics. The method generalizes the SINDy algorithm by combining sparse and genetic-programming-based symbolic regression.
The two-body problem in polar coordinates (the one here with and without drag): for this we shall add the norm operation, taking two scalars and computing \sqrt(x2 + y 2). We assume to know the dimensionality of the problem here.
Charged particle in electric and magnetic field. In this way, we can use the cross product in the dictionary.
-Reconstruct a non-autonomous system using a flag as an input "try nonautonomous":
From PySINDy documentation (easy ones):
Then, beside:
xdot = v vdot = - k x - v c + F sin(x**2)
xdot = v vdot = - k x + F sin(t**2)