Phys. Rev. E 60, 4793–4810 (1999)Maps for distributions and their time evolutionReceived 10 February 1999; published in the issue dated October 1999 Many dynamical stochastic processes occur “on top” of a deterministic process. We present a method which uses the trajectory of the deterministic process as basis functions for quasiarbitrary distributions. A map for the stochastic process can then be computed. This may have applications in electron storage rings or other devices perturbed by a small stochasticity. In this paper we will look only at the most elementary applications of the method. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.4793
DOI:
10.1103/PhysRevE.60.4793
PACS:
29.20.-c, 02.50.Fz, 02.50.Ng
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