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math.DS2015★ 4 cited
Response of an oscillatory differential delay equation to a single stimulus
Michael C. Mackey, Marta Tyran-Kaminska, Hans-Otto Walther
Here we analytically examine the response of a limit cycle solution to a simple differential delay equation to a single pulse perturbation of the piecewise linear nonlinearity. We…
math.DS2004★ 26 cited
An invariance principle for maps with polynomial decay of correlations
Marta Tyran-Kaminska
We give a general method of deriving statistical limit theorems, such as the central limit theorem and its functional version, in the setting of ergodic measure preserving transfor…