Quick search Find article
Quick search
Find article

Feedback characteristics of nonlinear dynamical systems

A. Lahellec1, S. Hallegatte2,3, J.-Y. Grandpeix1, P. Dumas4 and S. Blanco5

Show affiliations


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 nonlinear dynamical systems

92.70.Gt Climate dynamics

Subjects

Environmental and Earth science

Statistical physics and nonlinear systems

Dates

Issue 6 (March 2008)

Received 29 August 2007, accepted for publication 18 January 2008

Published 20 February 2008



  1. Feedback characteristics of nonlinear dynamical systems

    A. Lahellec et al 2008 EPL 81 60001

  2. Characterization of a 2D ion chamber array for the verification of radiotherapy treatments

    E Spezi et al 2005 Phys. Med. Biol. 50 3361

  3. Gamma-ray scattering for fat fraction measurement

    J Shakeshaft et al 1997 Phys. Med. Biol. 42 1403

  4. Langton's flies

    P Dorbec and A Gajardo 2008 J. Phys. A: Math. Theor. 41 405101

  5. Electrospray deposition of carbon nanotubes in vacuum

    James N O'Shea et al 2007 Nanotechnology 18 035707

  6. Closed-form weak-field expansion of two-loop Euler-Heisenberg Lagrangians

    Gerald V. Dunne et al JHEP11(2006)013

  7. Uncertainties in the composition of Earth, its core and silicate sphere

    William F McDonough and Ricardo Arevalo Jr 2008 J. Phys.: Conf. Ser. 136 022006

  8. Constrained dynamics of universally coupled massive spin 2-spin 0 gravities

    J Brian Pitts 2006 J. Phys.: Conf. Ser. 33 279

  9. Electromagnetic modelling of current flow in the heart from TASER devices and the risk of cardiac dysrhythmias

    S J Holden et al 2007 Phys. Med. Biol. 52 7193

  10. Negative differential magnetoresistance and commensurability oscillations of two-dimensional electrons in a disordered array of antidots

    G M Gusev et al 1994 J. Phys.: Condens. Matter 6 73

View by subject




Export






Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.