关于单模可微平顶函数λP的唯一性

Uniqueness of λP for Unimodal Differentiable Flat-top Functions

  • 摘要: 讨论了单模动力系统中,可微平顶函数及任何MSS序列P,存在某一依赖于该序列的特征参数具有唯一性。得出了梯形函数在区间(0,0.382 9…)上对应于序列P的特征参数的唯一性及序列P大于周期三的特征参数的唯一性,从而在梯形函数的特殊情况下,单模可微平顶函数λP具有的唯一性。

     

    Abstract: Iterations of continuous self maps on the interval are the most simple model, which arise some interesting mathmatics structures, in dynamical systems. These systems depend on a characteristic parameter controlled with experiment. The paper discusses the contents of unimodal dynamical systems, proving the uniqueness of λP and then one between 0 and 0.382 9 as unimodal differentiable flat-top functions for any MSS sequence P. It draws a conlusion from the uniqueness of P>RL, and therefore one of P>RL2 in special circumstances for trapezoid functions.

     

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