The response properties of excitable systems driven by colored noise are ofgreat interest, but are usually mathematically only accessible viaapproximations. For this reason, dichotomous noise, a rare example of a colorednoise leading often to analytically tractable problems, has been extensivelyused in the study of stochastic systems. Here, we calculate exact expressionsfor the power spectrum and the susceptibility of a leaky integrate-and-fireneuron driven by asymmetric dichotomous noise. While our results are inexcellent agreement with simulations, they also highlight a limitation of usingdichotomous noise as a simple model for more complex fluctuations: Both powerspectrum and susceptibility exhibit an undamped periodic structure, the originof which we discuss in detail.
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