Publisher review:Calculation Lyapunov Exponents for ODE - Realization of alogrithm of chaos detection by determining Lyapunov exponents. Lyapunov exponent calcullation for ODE-system. The alogrithm employed in this m-file for determining Lyapunov exponents was proposed in A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, "Determining Lyapunov Exponents from a Time Series," Physica D, Vol. 16, pp. 285-317, 1985.For integrating ODE system can be used any MATLAB ODE-suite methods.
Input parameters:n - number of equationrhs_ext_fcn - handle of function with right hand side of extended ODE-system. This function must include RHS of ODE-system coupled with variational equation (n items of linearized systems, see Example). fcn_integrator - handle of ODE integrator function, for example: @ode45 tstart - start values of independent value (time t)stept - step on t-variable for Gram-Schmidt renormalization procedure.tend - finish value of timeystart - start point of trajectory of ODE system.ioutp - step of print to MATLAB main window. ioutp==0 - no print, if ioutp>0 then each ioutp-th point will be print.Output parameters:Texp - time valuesLexp - Lyapunov exponents to each time value.Users have to write their own ODE functions for their specified systems and use handle of this function as rhs_ext_fcn - parameter.
Calculation Lyapunov Exponents for ODE is a Matlab script for Mathematics scripts design by Vasiliy Govorukhin.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.
Operating system:Windows / Linux / Mac OS / BSD / Solaris
Calculation Lyapunov Exponents for ODE script details 
