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Noise-induced order

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Abstract

A new noise effect on chaos in one-dimensional mappings is reported. The transition from chaotic behavior to ordered behavior induced by external noise is observed in a certain class of one-dimensional mappings. This transition is clearly shown in terms of the Lyapunov number, entropy, power spectrum, and the nature of orbits.

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Authors and Affiliations

  1. Department of Physics, Kyoto University, 606, Kyoto, Japan

    I. Tsuda

Authors
  1. K. Matsumoto
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  2. I. Tsuda
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Additional information

In our opinion, the new phenomenon which is reported in this paper may be called “periodicity.” However, we here call this simply “order,” following the comment of one of the referees, because the theory that is expected to justify our opinion is not yet completed. The theory based on the global analysis of maps will be completed in the near future.

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Matsumoto, K., Tsuda, I. Noise-induced order. J Stat Phys 31, 87–106 (1983). https://doi.org/10.1007/BF01010923

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  • DOI: https://doi.org/10.1007/BF01010923

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