Abstract
Matsumoto and Tsuda studied the effects of noise on chaos in a one-dimensional Belousov-Zhabotinsky (BZ) map and found noise-induced order, that is, an external noise destroys a chaotic behavior and produces some kind of order (periodicities). This phenomenon is very interesting in understanding the relation between chaos and natural phenomena. The present paper proposes a unimodal piecewise linear map which has a flat segment. It is shown numerically that the noise-induced order can be observed in this simple map in the same way as the BZ map. These numerical results clarify the mechanism of noise-induced order.
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S. Doi, in preparation.
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Doi, S. A chaotic map with a flat segment can produce a noise-induced order. J Stat Phys 55, 941–964 (1989). https://doi.org/10.1007/BF01041073
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DOI: https://doi.org/10.1007/BF01041073