Estimation of the spectrum of Lyapunov Exponents and the Kaplan-Yorke dimension of any low-dimensional model of polynomial form. It can be applied, for example, to systems such as the chaotic Lorenz-1963 system or the hyperchaotic Rossler-1979 system. It can also be applied to dynamical models in Ordinary Differential Equations (ODEs) directly obtained from observational time series using the 'GPoM' package. The used approach is semi-formal, the Jacobian matrix being estimated automatically from the polynomial equations. Two methods are made available : one introduced by Wolf et al. (1985) [1] and the other one by Grond et al. (2003) [2].
[1] A. Wolf, J. B. Swift, H. L. Swinney & J. A. Vastano, Determining Lyapunov exponents from a time series, Physica D, 285-317, 1985. [2] F. Grond, H. H. Diebner, S. Sahle, A. Mathias, S. Fischer, O. E. Rossler, A robust, locally interpretable algorithm for Lyapunov exponents, Chaos, Solitons \& Fractals, 16, 841-852 (2003).