8. Noise Killing Chaos

  1. James R. Thompson

Published Online: 29 NOV 2011

DOI: 10.1002/9781118109656.ch8

Empirical Model Building: Data, Models, and Reality, Second Edition

Empirical Model Building: Data, Models, and Reality, Second Edition

How to Cite

Thompson, J. R. (2011) Noise Killing Chaos, in Empirical Model Building: Data, Models, and Reality, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118109656.ch8

Publication History

  1. Published Online: 29 NOV 2011
  2. Published Print: 24 OCT 2011

ISBN Information

Print ISBN: 9780470467039

Online ISBN: 9781118109656

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Keywords:

  • chaos theory;
  • chaotic convection model;
  • discrete logistic model;
  • noise killing chaos

Summary

This chapter attempts to show that if chaos existed in the real world, it would be destroyed by naturally occurring noise. Noise can and does act as a powerful smoother in many situations based on aggregation. The use of the discrete logistic model is really natural only in the sense that we wish to come up with a model that can be put on a digital computer. In the case of chaos theory it is frequently the practice of enthusiasts to question not the model but the reality. So it is argued that, in fact, it is the discrete model which is the more natural. The point being made in the chapter is that just because one can write down a chaotic convection model, it need not appear in nature, and that when it does, we will probably view its effects only through the mediating and smoothing action of noise.

Controlled Vocabulary Terms

chaos theory