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Feigenbaum-Kadanoff-Shenker方程带双参数的推广 被引量:1

The Generalization of the Feigenbaum-Kadanoff-Shenker Equation with Two Parameters
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摘要 关于圆映射普适尺度的Feigenbaum-Kadanoff-Shenker方程刻画拟周期到混沌的路径,考虑FKS方程带双参数的推广,研究其连续严格递减解的性质.利用迭代构造法,构造所有的连续严格递减解. The FeigenbaumKadanoffShenker equation for universal scaling in circle maps characterizes the quasiperiodic route to chaos.In this paper,we study FeigenbaumKandanoffShenker equation with two parameters,and the properties of their continuous and strictly decreasing solutions.By using the iterative construction method,we construct all the continuous and strictly decreasing solutions.
作者 刘好斌 石勇国 LIU Haobin;SHI Yongguo(College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641100,Sichuan;Data Recovery Key Laboratory of Sichuan Province,Neijiang Normal University,Neijiang 641100,Sichuan)
出处 《四川师范大学学报(自然科学版)》 CAS 北大核心 2018年第6期781-784,共4页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(11301256) 四川省教育厅自然科学基金(18ZA0274)
关键词 Feigenbaum-Kadanoff-Shenker方程 连续严格递减解 迭代构造法 FeigenbaumKadanoffShenker equation continuous and strictly decreasing solution iterative construction method
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