Simple Driven Maps As Sensitive Devices

Details Simple Driven Maps As Sensitive Devices Simple Driven Maps As Sensitive Devices

2000-04-29

arxiv.org/abs/nlin/0005003v1

Physical Review E, Vol 59, No. 4, pp. 4007-4012 (1999)

Nonlinear Sciences

Chaotic Dynamics

10 pages, 9 figures

Scientific paper

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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