非单谷的p阶Feigenbaum映射

The author considers the Feigenbaum's functional equation f^P(λx) = λf(x) for each p ≥ 2. The existence of nonsingle-valley continuous solutions to this equation is discussed and a feasible method to construct such solutions is given.     

3阶Feigenbaum映射的拓扑共轭性

本文讨论3阶Feigenbaum映射限制在非游荡集上的拓扑共轭性．一方面3阶Feigenbaum映射必然产生混沌,混沌的产生使得非游荡集复杂化;另一方面3阶Feigenbaum映射又分为单谷的和非单谷的两类．利用有限型子转移,证明了对任意给定的两个满足一定条件的3阶Feigenbaum映射,限制在其非游荡集上是拓扑共轭．     

3阶非单谷Feigenbaum映射的拟极限集

一个从闭区间到自身的连续映射被称为3阶非单谷Feigenbaum映射,如果它是函数方程f~3(λx)=λf(x)的解．本文讨论了3阶非单谷Feigenbaum映射的拟极限集及其Hausdorff维数．3阶非单谷Feigenbaum映射必然产生混沌,混沌的产生使得拟极限集的存在性问题复杂化．文中采用分形几何中的知识方法证明了此类映射的拟极限集的存在性,并相应的对其Hausdorff维数作出了估计．最后给了一个具体的例子,说明确实存在这样的3阶非单谷Feigenbaum映射．     

单谷Feigenbaum映射的拟极限集

给出了单谷Feigenbaum映射拟极限集的结构以及它的准确的Hausdorff维数的关系式。     

р阶Feigenbaum函数方程的解的拓扑熵

р阶Feigenbaum函数方程的解的拓扑熵@范钦杰...     

两类Feigenbaum映射的拟极限集的Hausdorff测度

本计算了一类无穷多峰Feigenbaum映射一类单峰Feigenbaum映射的拟极限集的Hausdorff测度。     

4p阶群及2p2阶群的自同构群

给出了4p阶群和2p^2阶群的自同构群的结构,这里P是奇素数。     

p—1阶均匀设计

方开泰在研究均匀设计时,对于q=p-1,p为素数的情形,推荐采用布点 P_q(k)=(k,ka,ka~2,…,ka~(s-1))(mod p),k=1,2,…,q,(1.1)其中0<α相似文献   

Likely Limit Sets of a Class of p-order Feigenbaum's Maps

A continuous map from a closed interval into itself is called a p-order Feigenbaum's map if it is a solution of the Feigenbaum's equation fp(λx) =λf(x).In this paper,we estimate Hausdorff dimensions of...     

Nonsingle-valley Continuous Solutions of p-order Feigenbaum''''s Functional Equation

The author considers the Feigenbaum's functional equation fp(λx) = λf(x) for each p > 2. The existence of nonsingle-valley continuous solutions to this equation is discussed and a feasible method to construct such solutions is given.     

Likely Limit Sets of a Class of $p$-Order Feigenbaum's Maps

A continuous map from a closed interval into itself is called a $p$-order Feigenbaum's map if it is a solution of the Feigenbaum's equation $f^p (λx) = λf(x)$. In this paper, we estimate Hausdorff dimensions of likely limit sets of some $p$-order Feigenbaum's maps. As an application, it is proved that for any $0 < t < 1$, there always exists a $p$-order Feigenbaum's map which has a likely limit set with Hausdorff dimension $t$. This generalizes some known results in the special case of $p = 2$.     

Likely Limit Sets of Feigenbaum''''s Maps and Their Hausdorf f Dimensions

A continuous map from a closed interval into itself is called a Feigenbaum's map if it is a solution of the functional equation f2(λx)=λf(x).In this paper, the likely limit sets of a type of Feigenbaum's maps are studied and their Hausdorff dimensions are estimated.As an application, we prove that for any 0相似文献   

环面上一般有根地图的计数

这篇文章给出了环面上以内面个数，根面次和非根节点个数为参数的一般有根地图的计数方程，导出了以内面个数和非根节点个数为参数的这类地图的计数方程的精确解。作为推论，推出了以边数为参数的这类地图的个数，其近似解在文献[2]中已讨论。     

A CHARACTERIZATION OF THE SOLUTIONS OF p－ORDER FEIGENBAUM＇S FUNCTIONAL EQUATION WITH TOPOLOGICAL ENTROPY 0

ＡＣＨＡＲＡＣＴＥＲＩＺＡＴＩＯＮＯＦＴＨＥＳＯＬＵＴＩＯＮＳＯＦｐ－ＯＲＤＥＲＦＥＩＧＥＮＢＡＵＭ＇ＳＦＵＮＣＴＩＯＮＡＬＥＱＵＡＴＩＯＮＷＩＴＨＴＯＰＯＬＯＧＩＣＡＬＥＮＴＲＯＰＹ０（廖公夫）￥ＬｉａｏＧｏｎｇｆｕ（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｊｉ...     

p-Ginzburg-Landau型极小元的渐近性质与p-调和映射的关系

本文考虑的是一类p-Ginzburg-Landau型泛函极小元,当p∈(1,n)时的极限行为．研究了极小元的零点与p-调和映射的奇点间的关系,并证明了极小元在Cloc1,γ意义下收敛到p-调和映射．