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A MULTIPLE SHOOTING METHOD FOR DETERMINING PERIODIC WINDOWS OF ONE-DIMENSIONAL MAPS

A MULTIPLE SHOOTING METHOD FOR DETERMINING PERIODIC WINDOWS OF ONE-DIMENSIONAL MAPS
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摘要 The calculation of the bifurcation behavior of one-dimensional maps by Feigenbaum enabled him to discover the important universality and scaling properties. Feigenbaum calculated a particular root of a polynomial of order 2<sup>17</sup> with a Newton’s method coupled with the conjectured scaling relation. Later on, based on the sym-
作者 凌复华
出处 《Chinese Science Bulletin》 SCIE EI CAS 1989年第6期462-467,共6页
基金 Project supported by the Science Fund of the Chinese Academy of Sciences and the Natural Science Fund of the Ministry of Education of China.
关键词 multi-shooting ONE-DIMENSIONAL map PERIODIC WINDOW Newton’s method super stable PERIODIC orbit. multi-shooting, one-dimensional map, periodic window, Newton's method, super stable periodic orbit.
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