Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Additive Noise Tunes the Self-Organization in Complex Systems

  • Axel HuttEmail author
  • Jérémie Lefebvre
Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_696-1


Additive noise

Random fluctuations that add to the phase space flow of model systems.

Center manifold theorem

Mathematical theorem describing the slaving principle in complex systems.

Slaving principle

Units in a complex system that interact nonlinearly with other units evolve on different time scales. Close to instability points, fast units obey the dynamics of slow units and are enslaved by them. Such units may be spatial modes in spatially extended systems or neural ensembles in neural populations.


The dynamics of natural systems is complex, e.g., due to various processes and their interactions on different temporal and spatial scales. Several of such processes appear to be of random nature, i.e., they cannot be predicted by known laws. In this context, it is not necessary to know whether these processes are random in reality or whether we just do not know their deterministic law and they appear to be random. The insight that unknown laws of processes may be...

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© Springer Science+Business Media LLC 2018

Authors and Affiliations

  1. 1.Deutscher WetterdienstOffenbach am MainGermany
  2. 2.Krembil Research InstituteTorontoCanada