Repulsive delayed random walk

Tadaaki Hosaka; Toru Ohira

doi:10.1117/12.548492

25 May 2004 Repulsive delayed random walk

Tadaaki Hosaka, Toru Ohira

Author Affiliations +

Proceedings Volume 5467, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems II; (2004) https://doi.org/10.1117/12.548492
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

We study here a random walk with delayed feedback around an unstable fixed point. It is found that the random walker can be kept longer around the fixed point with larer delay. This is in contrast to the normal role of delay, which is generally thought to be a source of instability. We discuss a possibility of our model to stick balancing experiments.

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Tadaaki Hosaka and Toru Ohira "Repulsive delayed random walk", Proc. SPIE 5467, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems II, (25 May 2004); https://doi.org/10.1117/12.548492

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