An invariant measure arising in computer simulation of a chaotic dynamical system |
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| Authors: | P Diamond P Kloeden A Pokrovskii |
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| Institution: | (1) Mathematics Department, University of Queensland, 4072, Australia;(2) Department of Mathematics, Deakin University, 3217 Geelong, Australia |
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| Abstract: | Summary Whenf(x)=2x (mod 1) is simulated in a finite discretized space, with random round-off error, the dynamical states can be modeled as belonging
to a family of Markov chains. We completely characterize the invariant measure of the discretized dynamics in terms of easily
computable stationary measures of the chains. |
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| Keywords: | chaos invariant measure computer simulation |
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