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Feedback characteristics of nonlinear dynamical systems

A. Lahellec, S. Hallegatte, J.-Y. Grandpeix, P. Dumas, and S. Blanco, Europhysics Letters 81 (2008), 60001

mardi 3 juin 2008

Abstract

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.

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Key words : Nonlinear dynamics and chaos, Climate dynamics