关键词: 混沌, 浮点, 有限精度效应, 周期

Abstract: Both the periods of chaotic sequences when iterating on computer and their distribution based on floating point formats have been studied in this paper. By constructing nonstandard floating point formats matched with the IEEE standard ones, the periods of six common chaotic systems under different floating point precisions were measured. Using a linear fitting method, the distribution relationship between the periods of chaotic sequence and numerical precisions was obtained, which corrected the distribution relationship based on fixed point formats and gave an experimental criterion for the study of chaotic antidegradation. This paper also shows that for the chaotic sequence, conclusions based on fixed point formats can not be simply extended to floating point formats.

Key words: chaos, floating point, finite-precision effect, period