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单峰映象的不变测度与Schr(?)der型方程

Invariable Measure of the Single——Peaked Image and Schroder Type Equation

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【作者】 刘洪章;

【Author】 Liu Hongzhang (Department of Physics, Yunnan University )

【机构】 云南大学物理系;

【摘要】 本文以单峰映象为例,运用幂展开法获得Schr(?)der型方程的递推级数解。文中详细地证明了逆映象展开的收敛性,反之也证明了Schr(?)der型方程在混沌区的正映象展开的发散性,Frobenius-Perron算子的本征值v=(T1-1(a))m的问题获得圆满解决。

【Abstract】 In this paper the recurrence sories solution of Schroder type equation, taken single-peaked image as example, is obtained by means of power expansion method. The convergence of inverse image expansion is proved in detail. Conversely, the divergence of positive image of Schroder type equation in chaos region is proved. The problem of characteristic value of Frobenius Perron operator v= (T1-1(a))m is solved satisfactorily.

  • 【文献出处】 云南大学学报(自然科学版) ,Journal of Yunnan University (Natural Sciences) , 编辑部邮箱 ,1988年04期
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