Noise-Induced Linearisation and Delinearisation

Details Noise-Induced Linearisation and Delinearisation Noise-Induced Linearisation and Delinearisation

1993-12-09

arxiv.org/abs/chao-dyn/9312005v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

17 pages. No special macros. Figures on request

Scientific paper

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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