nonlinear identification with anfis

Hi I want to use ANFIS method, to identify below equation. Somebody has experience on this please comment on how to identify this nonlinear equation with ANFIS.

y'''+10*y''+10*y'+y=-y^3+u

u is noise.

Answer 1

[Yarpiz]

You should rewrite the differential equation as a canonical state-space model, as dx/dt = f(x). And then, build a ANFIS model for the last row of the f(x), using function approximation capability of ANFIS structure.

For this purpose, you can use the following codes:

http://www.mathworks.com/matlabcentral/fileexchange/52968-nonlinear-regression-using-anfis-in-matlab

http://www.mathworks.com/matlabcentral/fileexchange/52969-time-series-prediction-using-anfis