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Probability Distributions of the Level Crossing Intervals of the Chaotic Process Generated by the Logistic Map

机译:物流地图产生的混沌过程的水平交叉间隔的概率分布

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The statistical characteristics of the level crossing intervals of the chaotic process generated by the logistic map have been studied. In the previous works, the probability distributions P_(n) of the crossing intervals for this type of chaotic process have been derived only in the form of recursive expressions. In this paper the probability distributions p_(0) and p_(1) are studied by the help of Tent-map, and they are obtained in the form of explicit expressions, instead of recursive expressions. The numerical calculations for these quantities become simple and accurate.
机译:研究了物流图产生的混沌过程的级联交叉间隔的统计特征。在以前的作品中,这种类型混沌过程的交叉间隔的概率分布P_(n)仅以递归表达的形式导出。在本文中,通过帐篷图的帮助研究了概率分布P_(0)和P_(1),并且它们以显式表达式的形式获得,而不是递归表达。这些数量的数值计算变得简单准确。

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