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Encyclopedia of Complexity and Systems Science pp 1–14Cite as

Additive Noise Tunes the Self-Organization in Complex Systems

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Glossary

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.

Introduction

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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Author information

Authors and Affiliations

  1. Deutscher Wetterdienst, Offenbach am Main, Germany

    Axel Hutt

  2. Krembil Research Institute, Toronto, ON, Canada

    Jérémie Lefebvre

Authors
  1. Axel Hutt
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  2. Jérémie Lefebvre
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Corresponding author

Correspondence to Axel Hutt .

Editor information

Editors and Affiliations

  1. Ramtech Ltd., Larkspur, California, USA

    Robert A. Meyers

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Hutt, A., Lefebvre, J. (2018). Additive Noise Tunes the Self-Organization in Complex Systems. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27737-5_696-1

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  • DOI: https://doi.org/10.1007/978-3-642-27737-5_696-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27737-5

  • Online ISBN: 978-3-642-27737-5

  • eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics

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