This webpage uses the Runge-Kutta-Fehlberg fourth-order method with fifth-order error checking (RKF45) to approximate the solution to Rabinovich–Fabrikant equations: \[ \begin{aligned} \dfrac{dx}{dt} &= y(z-1+x^2) + \gamma x \\ \dfrac{dy}{dt} &= x (3z+1-x^2) + \gamma y \\ \dfrac{dz}{dt} &= -2z(\alpha+xy). \end{aligned} \]