GPoM1.4 package

Generalized Polynomial Modelling

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

allMod_nVar3_dMax2-data-set

Numerical description of a list of eighteen three-dimensional chaotic ...

autoGPoMoSearch

Automatic search of polynomial Equations

autoGPoMoTest

Tests the numerical integrability of models and classify their dynamic...

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...

d2pMax

Provides the number of polynomial terms pMaxgiven dMax and nVar

data_vignetteIII-data-set

Output of the vignette III_Modelling

data_vignetteVI-data-set

Output of the vignette VI_Sensitivity

data_vignetteVII-data-set

Output of the vignette VII_Retro-Modelling

derivODE2

A subfonction for the numerical integration of polynomial equations pr...

derivODEwMultiX

deriveODEwMultiX : A Subfonction for the numerical integration of poly...

findAllSets

Find all possible sets of equation combinations considering an ensembl...

gloMoId

Global Model Identification

GPoM-package

GPoM package: Generalized Polynomial Modelling

gPoMo

Generalized Polynomial Modeling

GSproc

Gram-Schmidt procedure

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 perturb...

odeBruitMult2

For the numerical integration of ordinary differential equations with ...

p2dMax

p2dMax : provides the maximum polynomial degree dMaxgiven the number...

paramId

For parameter Identification

poLabs

Polynomial labels order

predictab

Estimate the models performance obtained with GPoMoin term of predic...

pTimEv

Model stationnary testing

regOrd

Generate the conventional order for polynomial terms in a the polynomi...

regSeries

Estimates the monomial time series

Rossler-1976-data-set

Time series of the Rossler-1976 system

subSysD

subSysD : Sub-systems Disentangling

testP

Periodic solution test

TSallMod_nVar3_dMax2-data-set

Time series of three-dimensional chaotic sytems (for vignette `VII_Ret...

visuEq

Displays the models Equations

visuOutGP

visuOutGP : get a quick information of gPoMo output

wInProd

Weighted inner product

Platform dedicated to the Global Modelling technique. Its aim is to obtain ordinary differential equations of polynomial form directly from time series. It can be applied to single or multiple time series under various conditions of noise, time series lengths, sampling, etc. This platform is developped 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, projets GloMo, SpatioGloMo and MoMu). The French program Defi InFiNiTi (CNRS) and PNTS are also acknowledged (projects Crops'IChaos and Musc & SlowFast). The method is described in the article : Mangiarotti S. and Huc M. (2019) <doi:10.1063/1.5081448>.

  • Maintainer: Mireille Huc
  • License: CeCILL-2
  • Last published: 2023-06-16