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- W2573897967 abstract "We discuss control techniques for noisy self-sustained oscilla- tors with a focus on reliability, stability of the response to noisy driving, and oscillation coherence understood in the sense of constancy of oscil- lation frequency. For any kind of linear feedback control - single and recursive delay feedback, linear frequency filter, etc. - the phase dif- fusion constant, quantifying coherence, and the Lyapunov exponent, quantifying reliability, can be efficiently controlled but their ratio re- mains constant. Thus, an uncertainty can be formulated: the loss of reliability occurs when coherence is enhanced and, vice versa, coherence is weakened when reliability is enhanced. Treatment of this principle for ensembles of oscillators synchronized by common noise or global coupling reveals a substantial difference between the cases of slightly non-identical oscillators and identical ones with intrinsic noise." @default.
- W2573897967 created "2017-01-26" @default.
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- W2573897967 date "2014-01-01" @default.
- W2573897967 modified "2023-09-24" @default.
- W2573897967 title "Uncertainty principle for control of ensembles of oscillators driven by common noise" @default.
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