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• W2890826803 abstract "Many physical situations involve chaotic systems implemented in hardware. Among them one-dimensional piecewise linear maps are popular candidates for such applications because of their property of generating robust chaos. In physical implementations, the control parameter of these maps may deviate from its ideal value due to hardware imprecision. Since the dynamics of a chaotic map is completely defined by its control parameter, one needs to know the value of the parameter in a hardware realisation. In this paper, we show that it is possible to determine the parameter, through the realisation of the unstable fixed point of the map, by utilising noise that is always present in the system. We present this in the form of an algorithm and demonstrate its efficacy through simulated results. We also determine the bounds on the signal-to-noise ratio required for successful parameter estimation. The proposed approach is expected to be beneficial to the existing noise reduction techniques and time series recovery algorithms that require a reasonably accurate knowledge of the map." @default.
• W2890826803 created "2018-09-27" @default.
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• W2890826803 date "2018-09-18" @default.
• W2890826803 modified "2023-10-03" @default.
• W2890826803 title "Parameter estimation for 1D PWL chaotic maps using noisy dynamics" @default.
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• W2890826803 doi "https://doi.org/10.1007/s11071-018-4538-x" @default.
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