Invariant Distributions and Stationary Correlation Functions of One-Dimensional Discrete Processes
Invariant Distributions and Stationary Correlation Functions of One-Dimensional Discrete Processes
复制标题
一维离散过程的不变分布和平稳相关函数
DOI：
10.1515/zna-1977-1204
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
S. Thomae
中科院分区：
文献类型：
--
作者：
Siegfried Grossmann;S. Thomae
本文讨论了产生离散过程的一维动力学定律与其不变密度和定态密度函数之间的关系。特别是在一个特殊的等价变换下发生的变化被认为是。相关函数被用来描述从周期状态到混沌状态的逐步过渡，通过叠加非线性噪声的周期运动。
Abstract The connection between one-dimensional dynamical laws generating discrete processes and their invariant densities as well as their stationary correlaton functions is discussed. In particular the changes occuring under a special equivalence transformation are considered. Correlation functions are used to describe the gradual transition from periodic states to chaotic states via periodic motions with superimposed nonlinearity noise.