Feedback characteristics of nonlinear dynamical systems

Lahellec, A. ; Hallegatte, Stéphane ; Grandpeix, J.-Y. ; Dumas, P. ; Blanco, S.

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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