Module ode 

Governing-equation discovery: recover the right-hand side of an autonomous ODE dx/dt = f(x) from a sampled trajectory, using phop as the function learner.

This is the “phop for dynamical systems” research direction: estimate the derivative dx/dt from a uniformly-sampled scalar series by central differences, then run the standard discovery pipeline on the regression x ↦ dx/dt. The recovered law is the governing equation. (It is a lightweight, self-contained cousin of SINDy — phop supplies the nonlinear function class instead of a fixed sparse library; coupling to oxieml::symreg::{sindy, pde} for multi-variable systems is future work.)

Functions

discover_ode

Discover the right-hand side f of an autonomous scalar ODE dx/dt = f(x) from a uniformly-sampled trajectory series with timestep dt.