Articles | Volume 25, issue 3
Nonlin. Processes Geophys., 25, 649–658, 2018
https://doi.org/10.5194/npg-25-649-2018

Special issue: Numerical modeling, predictability and data assimilation in...

Nonlin. Processes Geophys., 25, 649–658, 2018
https://doi.org/10.5194/npg-25-649-2018

Research article 04 Sep 2018

Research article | 04 Sep 2018

Climatic responses to systematic time variations of parameters: a dynamical approach

Catherine Nicolis

Related subject area

Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere
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Effects of upwelling duration and phytoplankton growth regime on dissolved-oxygen levels in an idealized Iberian Peninsula upwelling system
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Cited articles

Andrews, T., Gregory, J. M., Webb, M. J., and Taylor, K. E.: Forcing, feedbacks and climate sensitivity in CMIP5 coupled atmosphere-ocean climate models, Geophys. Res. Lett., 39, LO9712, https://doi.org/10.1029/2012GL051607, 2012. 
Ashwin, P., Wieczorek, S., Vitolo, R., and Cox, P.: Tipping points in open systems:Bifurcation noise-induced and rate-dependent examples in the climate system, Phil. Trans. R. Soc. A, 370, 1166–1184, 2012. 
Baer, S. M., Erneux, T., and Rinzel, J.: The slow passage through a Hopf bifurcation: delay, memory effects, and resonance, SIAM J. Appl. Math., 49, 55–71, 1989. 
Benoit, E.: Dynamic Bifurcations, Springer, Berlin, 222 pp., 1991. 
Berger, A.: Climatic Variations and Variability: Facts and Theories, Reidel, Dordrecht, 795 pp., 1981. 
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Short summary
Ordinarily the climatic impact of systematic variations of parameters arising from anthropogenic effects is addressed on the basis of large numerical models, where parameters are set to a prescribed level and the system is subsequently left to relax. We have revisited the problem from a nonlinear dynamics perspective in which the time variation of parameters is fully incorporated into the evolution laws. Some universal trends of the response have been identified.