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Schleimer, Jan-Hendrik; Stemmler, Martin B. ORCID: 0000-0002-9040-0475 (2009): Coding of Information in Limit Cycle Oscillators. In: Physical Review Letters, Vol. 103, No. 24, 248105
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Abstract

Starting from a general description of noisy limit cycle oscillators, we derive from the Fokker-Planck equations the linear response of the instantaneous oscillator frequency to a time-varying external force. We consider the time series of zero crossings of the oscillator’s phase and compute the mutual information between it and the driving force. A direct link is established between the phase response curve summarizing the oscillator dynamics and the ability of a limit cycle oscillator, such as a heart cell or neuron, to encode information in the timing of peaks in the oscillation.