Simple Driven Maps As Sensitive Devices

Changsong Zhou; C. -H. Lai

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arXiv · nlin/0005003

Simple Driven Maps As Sensitive Devices

Changsong Zhou·C. -H. Lai

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Abstract

Sensitive dependence of nonlinear systems on initial conditions or parameters can be useful in applications. We propose in this paper that bubbling behavior in simple driven symmetrical maps may be used as a working principle of sensitive devices. The system is stable when there is no input and displays bursting behavior when there is small input. The symmetrical property of the bursting pattern is very sensitive to the bias of the noisy inputs, which makes the system promising for detecting weak signals among noisy environment.

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Changsong Zhou, C. -H. Lai. 2000-04-29. Simple Driven Maps As Sensitive Devices. https://arxiv.org/abs/nlin/0005003

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