AN INVARIANT MEASURE ARISING IN COMPUTER-SIMULATION OF A CHAOTIC DYNAMICAL SYSTEM

Authors
DIAMOND P KLOEDEN P POKROVSKII A
Citation
P. Diamond et al., AN INVARIANT MEASURE ARISING IN COMPUTER-SIMULATION OF A CHAOTIC DYNAMICAL SYSTEM, Journal of nonlinear science, 4(1), 1994, pp. 59-68
Citations number
8
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Mechanics
Journal title
Journal of nonlinear science → ACNP
ISSN journal
09388974
Volume
4
Issue
1
Year of publication
1994
Pages
59 - 68
Database
ISI
SICI code
0938-8974(1994)4:1<59:AIMAIC>2.0.ZU;2-O
Abstract
When f(x) = 2x (mod 1) is simulated in a finite discretized space, wit h random round-off error, the dynamical states can be modeled as belon ging to a family of Markov chains. We completely characterize the inva riant measure of the discretized dynamics in terms of easily computabl e stationary measures of the chains.