Noise-Induced Linearisation and Delinearisation

MI Dykman; DG Luchinsky; R Mannella; PVE McClintock; HE Short; ND Stein; N G Stocks

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arXiv · chao-dyn/9312005

Noise-Induced Linearisation and Delinearisation

MI Dykman·DG Luchinsky·R Mannella·PVE McClintock·HE Short·ND Stein·N G Stocks

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Abstract

It is demonstrated, by means of analogue electronic simulation and theoretically, that external noise can markedly change the character of the response of a nonlinear system to a low-frequency periodic field. In general, noise of sufficient intensity {\it linearises} the response. For certain parameter ranges in particular cases, however, an increase in the noise intensity can sometime have the opposite effect and is shown to {\it delinearise} the response. The physical origins of these contrary behaviours are discussed.

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MI Dykman, DG Luchinsky, R Mannella, PVE McClintock, HE Short, ND Stein, N G Stocks. 1993-12-10. Noise-Induced Linearisation and Delinearisation. https://arxiv.org/abs/chao-dyn/9312005

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