GPoM.FDLyapu: Lyapunov Exponents and Kaplan-Yorke Dimension

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 approach used 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) <doi:10.1016/0167-2789(85)90011-9> and the other one introduced by Grond et al. (2003) <doi:10.1016/S0960-0779(02)00479-4>. The package is provided with an interface for a more intuitive usage, it can also be run without the interface. This platform is developed at the Centre d'Etudes Spatiales de la Biosphere (CESBIO), UMR 5126 UPS/CNRS/CNES/IRD, 18 av. Edouard Belin, 31401 TOULOUSE, FRANCE. The developments were funded by the French program Les Enveloppes Fluides et l'Environnement (LEFE, MANU, projects GloMo, SpatioGloMo and MoMu). The French programs Defi InFiNiTi (CNRS) and PNTS (CNRS) are also acknowledged (projects Crops'I Chaos and Musc & SlowFast).

install.packages("GPoM.FDLyapu")

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