摘要
应用瞬时混沌强度对Logistic模型进行了研究,发现它具有表现混沌程度的作用;尽管它是一个随机过程,有较强的随机性,然而它对Logistic模型的r仍有很强的指示作用。定义了步数混沌强度(n-stepchaometry)的概念,它更方便于实际计算,而使用者并不必理会均方积分的概念。应用于研究Henon映射时,发现了以21为基数的周期窗口体系,在一个狭窄的区间内混沌与周期交替出现,其中还包含以189和252为初始周期的倍周期分岔。
Abstract
While the Logistic model was studied with instantaneous chaometry,it is found that instantaneous chaometry can powerfully exhibit the characteristic of chaos. Though the instantaneous chaometry is a stochastic process and has a little randomicity, value r of Logistic model can be shown with it. The new concept of n-step chaometry was defined, which can be easily calculated, and not involved in mean square integral. While instantaneous chaometry was applied to Henon map, the window systems based on 21 were found, chaos and periodic windows appear by turns in a narrow interval, and in which there are period doubling bifurcation based on 189 and 252.
关键词
Henon映射 /
瞬时混沌强度 /
21周期窗口 /
189周期窗口 /
252周期窗口
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Key words
Henon map /
instantaneous chaometry /
Period Window 21 /
Period Window 189 /
Period Window 252
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罗传文. , {{custom_author.name_cn}}.
应用瞬时混沌强度解读混沌[J]. 科技导报, 2005, 23(0503): 24-27
CHAOS INTERPRETED WITH INSTANTANEOUS CHAOMETRY[J]. Science & Technology Review, 2005, 23(0503): 24-27
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脚注
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