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梯形映射族周期轨道的计算

PARAMETER COMPUTATION FOR THE PERIODIC ORBITS OF TRAPEZOID MAPS
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摘要 运用符号动力学理论,研究一种特殊的一维分段线性映射族"梯形映射族"周期轨道的计算方法,确定其周期轨道的参数范围,给出了奇的最大周期序列对应参数的精确范围,以及偶的最大周期序列参数的近似范围.该方法可应用于更一般的单峰系统. The theory of symbolical dynamics is used to study the parameter computation corresponding to the periodic orbits for a special family of one-parameter piecewise maps, i.e., trapzoid maps defined over a given interval. We obtain the precise parameter range of the odd maximal periodic orbits and an approximate parameter range of the even maximal periodic orbits. Some of the results are applicable to more general unimodal maps.
作者 张荣
机构地区 重庆大学经济与工商管理学院
出处 《系统科学与数学》 CSCD 北大核心 2012年第1期27-35,共9页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金资助(71071172 70771118) 重庆大学重点基金资助(CDJSK100212)
关键词 符号动力学 梯形映射 MSS序列 周期轨道. Symbolical dynamics, trapezoid maps, MSS sequences, periodic orbits
分类号 O174 [理学—基础数学]
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参考文献18

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二级参考文献16

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系统科学与数学
2012年 第1期

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