plotMeanExponents

nVar

An input list issued from the FDLyapu algorithm updated at each call, with
outL$t the time vector,
outL$LyapExp the mean Lyapunov exponents 
outL$LyapExpLoc the local Lyapunov exponents,
outL$DkyLoc the mean Kaplan-Yorke dimension.
outL$DkyLoc the local Kaplan-Yorke dimension.

outL

Number of iterations used in the statistics computation

nIterStats

If equals to "exp" the Lyapunov exponents are plotted. Otherwise the Kaplan-Yorke dimension is plotted

plotType

The limits used for the x-axis. If NULL it is automatically adjusted to the minimum and maximum data values

xlim

The limits used for the u-axis. If NULL it is automatically adjusted to the minimum and maximum data values

ylim

Indicates which exponents have to be plotted. If NULL all are plotted otherwise must be a vector of booleans

expList

Indicates if the legend has to appear (TRUE) or not (FALSE)

legend

Plots the averaged Lyapunov exponents or the averaged 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).

plotMeanExponents: plotMeanExponents

Description

Usage

Arguments