Cycles and Circles in Roundoff Errors

Details Cycles and Circles in Roundoff Errors Cycles and Circles in Roundoff Errors

1993-02-23

arxiv.org/abs/chao-dyn/9302005v1

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93feb007 ascii with figures available from author

Scientific paper

10.1103/PhysRevE.47.4560

When a series of measurements is performed with increasingly coarse (or increasingly fine) precision, consecutive observations seem to be erratically distributed at first, and then organize themselves into cycles and patterns. The patterns, which arise because of roundoff errors, are related to a notion in number theory, the so- called Farey sequence. Key words: roundoff-error, number theory, Farey sequence.

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