| Issue |
EPL
Volume 81, Number 6, March 2008
|
|
|---|---|---|
| Article Number | 60001 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/81/60001 | |
| Published online | 20 February 2008 | |
Feedback characteristics of nonlinear dynamical systems
1
Laboratoire de Météorologie Dynamique, CNRS, Université Paris-VI - Paris, France
2
Centre International de Recherche sur l'Environnement et le Développement, ENPC - Paris, France
3
Ecole Nationale de la Météorologie, Météo-France - Toulouse, France
4
Environment Research and Teaching Institute, Ecole Normale Supérieure - Paris, France
5
Laboratoire Plasma et Conversion d'Energie (LAPLACE, CNRS-UPS), Université de Toulouse - Toulouse, France
Corresponding author: alain@lmd.jussieu.fr
Received:
29
August
2007
Accepted:
18
January
2008
We propose a method to extend the concept of feedback gain to nonlinear models. The method is designed to dynamically characterise a feedback mechanism along the system natural trajectory. The numerical efficiency of the method is proved using the Lorenz (1963) classical model. Finally, a simple climate model of water vapour feedback shows how nonlinearity impacts feedback intensity along the seasonal cycle.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 92.70.Gt – Climate dynamics
© EPLA, 2008
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