1994 | OriginalPaper | Chapter
Stochastic Perturbation of Discrete Time Systems
Authors : Andrzej Lasota, Michael C. Mackey
Published in: Chaos, Fractals, and Noise
Publisher: Springer New York
Included in: Professional Book Archive
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We have seen two ways in which uncertainty (and thus probability) may appear in the study of strictly deterministic systems. The first was the consequence of following a random distribution of initial states, which, in turn, led to a development of the notion of the Frobenius-Perron operator and an examination of its properties as a means of studying the asymptotic properties of flows of densities. The second resulted from the random application of a transformation S to a system and led naturally to our study of the linear Boltzmann equations.