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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作  者:凌复华 

机构地区:[1]Department of Engineering Mechanics, Shanghai Jiaotong University

出  处:《Chinese Science Bulletin》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.

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-

关 键 词:multi-shooting ONE-DIMENSIONAL map PERIODIC WINDOW Newton’s method super stable PERIODIC orbit. 

分 类 号:N[自然科学总论]

 

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