derivODE2

This function provides the one step integration of
polynomial Ordinary Differential Equations (ODE). This function
requires the function <code>ode</code> (<code>deSolve</code> package).

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>.

Mireille Huc

GPoM

Generalized Polynomial Modelling

Sylvain Mangiarotti

Flavie Le Jean

Malika Chassan

Laurent Drapeau

Institut de Recherche pour le Développement 

Centre National de la Recherche Scientifique 

derivODE2 function

<dl><dt>t</dt>
<dd>All the dates for which the result of the numerical
integration of the model must be provided</dd>
<dt>x</dt>
<dd>Current state vector (input from which the next state will
be estimated)</dd>
<dt>K</dt>
<dd>A matrix providing the model description:
each column corresponds to one equation which polynomial organisation
is following the convention defined by function <code>poLabs</code>.</dd>
<dt>dMin</dt>
<dd>The minimum negative degree of the polynomial
formulation (0 by default).</dd>
<dt>regS</dt>
<dd>Current states of each polynomial terms used
in <code>poLabs</code>. These states can be deduced from the current
state vector <code>x</code> (using the function <code>regSeries</code>).
When available, it can be provided as an input to avoid
unecessary computation.</dd></dl>

Arguments

Author

A subfonction for the numerical integration
of polynomial equations provided in a generic form
following the convetion defined by function poLabs. — derivODE2

<dl>

<dt>t</dt>
<dd>All the dates for which the result of the numerical
integration of the model must be provided</dd>


<dt>x</dt>
<dd>Current state vector (input from which the next state will
be estimated)</dd>


<dt>K</dt>
<dd>A matrix providing the model description:
each column corresponds to one equation which polynomial organisation
is following the convention defined by function <code>poLabs</code>.</dd>


<dt>dMin</dt>
<dd>The minimum negative degree of the polynomial
formulation (0 by default).</dd>


<dt>regS</dt>
<dd>Current states of each polynomial terms used
in <code>poLabs</code>. These states can be deduced from the current
state vector <code>x</code> (using the function <code>regSeries</code>).
When available, it can be provided as an input to avoid
unecessary computation.</dd>

</dl>

A subfonction for the numerical integration
of polynomial equations provided in a generic form
following the convetion defined by function <code>poLabs</code>.

derivODE2: A subfonction for the numerical integration of polynomial equations provided in a generic form following the convetion defined by function `poLabs`.

Description

Usage

Arguments

Author

See Also