We are asking somebody who can help us about calculation of the Lyapunov exponent from experimental time series. We could not find numerical routine explicitly written in any of the most common languages: FORTRAN, C, PHP, BASIC, PASCAL PHYTON
You may use Non Linear Dynamical Toolbox (NDT), I have used it many years ago. https://www.pks.mpg.de/~tisean/TISEAN_2.1/docs/indexf.html has many free program that you can freely download.
If I correctly understood what Lyap. exp is: https://www.mathworks.com/matlabcentral/fileexchange/48084-lyapunov-exponent-estimation-from-a-time-series-documentation-added