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

被引:0
作者
凌复华
机构
[1] Shanghai Jiaotong University
[2] Department of Engineering Mechanics
关键词
multi-shooting; one-dimensional map; periodic window; Newton’s method; super stable periodic orbit;
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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 2with a Newton’s method coupled with the conjectured scaling relation. Later on, based on the sym-
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页码:462 / 467
页数:6
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