Generalized Polynomial Modelling

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Documentation for package ‘GPoM’ version 1.4

• DESCRIPTION file.
• User guides, package vignettes and other documentation.

Help Pages

GPoM-package	GPoM package: Generalized Polynomial Modelling
allMod_nVar3_dMax2	Numerical description of a list of eighteen three-dimensional chaotic sytems (see vignette '7_Retro-Modelling')
allMod_nVar3_dMax2 data set	Numerical description of a list of eighteen three-dimensional chaotic sytems (see vignette '7_Retro-Modelling')
allToTest	A list providing the description of six models tested by the function 'autoGPoMoTest'.
autoGPoMoSearch	Automatic search of polynomial Equations
autoGPoMoTest	Tests the numerical integrability of models and classify their dynamical regime
bDrvFilt	Builds the derivative filter
cano2M	cano2M : Converts a model in canonical form into a matrix form
combiEq	combiEq : Combine Equations from different sources
compDeriv	Computes the successive derivatives of a time series
concat	Concat Concatenates separated time series
concatMulTS	ConcatMulTS Concatenates separated time series (of single or multiples variables)
d2pMax	Provides the number of polynomial terms 'pMax' given 'dMax' and 'nVar'
data_vignetteIII	Output of the vignette 'III_Modelling'
data_vignetteIII data set	Output of the vignette 'III_Modelling'
data_vignetteVI	Output of the vignette 'VI_Sensitivity'
data_vignetteVI data set	Output of the vignette 'VI_Sensitivity'
data_vignetteVII	Output of the vignette 'VII_Retro-Modelling'
data_vignetteVII data set	Output of the vignette 'VII_Retro-Modelling'
derivODE2	A subfonction for the numerical integration of polynomial equations provided in a generic form following the convetion defined by function 'poLabs'.
derivODEwMultiX	deriveODEwMultiX : A Subfonction for the numerical integration of polynomial equations in the generic form defined by function 'poLabs' and with External Forcing F(t)
detectP1limCycl	Detection of limit cycles of period-1
drvSucc	drvSucc : Computes the successive derivatives of a time series
extractEq	extractEq : Extracts Equations from one system
findAllSets	Find all possible sets of equation combinations considering an ensemble of possible equation.
gloMoId	Global Model Identification
gPoMo	Generalized Polynomial Modeling
GSproc	Gram-Schmidt procedure
NDVI	A time series of vegetation index measured from satellite
numicano	Numerical Integration of models in ODE of polynomial form
numiMultiX	Numerical Integration polynomial ODEs with Multiple eXternal forcing
numinoisy	Generates time series of deterministic-behavior with stochatic perturbations (measurement and/or dynamical noise)
odeBruitMult2	For the numerical integration of ordinary differential equations with dynamical noise.
P1FxCh	A data set for testing periodicity
P1FxChP2	A data set for testing periodicity
p2dMax	p2dMax : provides the maximum polynomial degree 'dMax' given the number of variables 'nVar' and the number of possible polynomial terms 'pMax'.
paramId	For parameter Identification
poLabs	Polynomial labels order
predictab	Estimate the models performance obtained with 'GPoMo' in term of predictability
pTimEv	Model stationnary testing
regOrd	Generate the conventional order for polynomial terms in a the polynomial formulation
regSeries	Estimates the monomial time series
Ross76	Time series of the Rossler-1976 system
Rossler-1976 data set	Time series of the Rossler-1976 system
RosYco	Twelve Rossler-1976 time series (exclusively variable y)
subSysD	subSysD : Sub-systems Disentangling
svrlTS	A data set for the global modeling of time series in association
testP	Periodic solution test
TS	Time series resulting from the integration of a non stationary system
TSallMod_nVar3_dMax2	Time series of three-dimensional chaotic sytems (for vignette 'VII_Retro-Modelling')
TSallMod_nVar3_dMax2 data set	Time series of three-dimensional chaotic sytems (for vignette 'VII_Retro-Modelling')
visuEq	Displays the models Equations
visuOutGP	visuOutGP : get a quick information of gPoMo output
wInProd	Weighted inner product