# Generalized Polynomial Modelling

## 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