1) gap map
裂峰映射
1.
The new rules of period doubling and period doubling bifurcation for four kinds intersection points in gap maps are presented.
讨论裂峰映射符号动力学中揉序列新的周期新倍化变化规则 ,并根据规则进行计算 ,得到一些Feigenbaum普适常数 。
2.
The rules of period doubling and period tripling bifurcations for four kinds intersection points in gap map are presented.
讨论裂峰映射的四种类型交点的二倍化和三倍化规则，并根据可允条件，对倍化规则作简要证明。
2) unimodal map
单峰映射
3) unimodal mapping
单峰映射
1.
Using the tools of Hausdorff dimension and Hausdorff measure, we give quantitative version for the set of admissible kneading sequences to unimodal mappings.
利用Hausdorff维数和Hausdorff测度,对单峰映射的允许搓揉序列的集合给出定量刻画,证明了该集合在两个符号的单边符号空间中Hausdorff维数是1,1维Hausdorff测度是0。
2.
In this paper, a fractal set I ∞=∩∞n=1I (n) is presented using the properties of unimodal mappings f 2 n /I i 1i 2.
利用连续型 2∞单峰映射的性质 ,构造出一个分形集 I∞ =∩∞n=1I( n) ;且进一步得出f2 n/II1 ,I2 ,… In 也是一个连续型 2∞单峰映射的结
4) bimodal maps
双峰映射
1.
A system of renormalization group equantions and its solutions for period-tripling bifurcation in bimodal maps;
双峰映射三倍周期分岔的一组重正化群方程及其解
2.
Special symbolic products of bimodal maps;
双峰映射的一类特殊符号乘法
3.
In bimodal maps, there is a global regularity between the generalized dimensions D q(Z) and scaling factors ｛α C(Z),α D(Z)｝ for q>-1:D q(Z) log |Z| |α C(Z)α D(Z)|=β (2) q,which is independent of symbolic sequences Z ;when q ≤-1,this global regularity is broken.
在双峰映射中 ,当 q >- 1,Feigenbaum型吸引子的广义维数Dq(Z)与标度因子 {αC(Z) ,αD(Z) }之间 ,存在着一个不依赖于符号序列Z的整体规律 :Dq(Z)log｜Z｜｜αC(Z)αD(Z) ｜ =β(2 )q ;当 q≤ - 1,该整体规律遭到破坏 。
5) trimodal maps
三峰映射
1.
Renormalization analysis of period-tripling bifurcation in trimodal maps;
三峰映射三倍周期分岔的重正化分析
6) quadrumodal map
四峰映射
1.
Global regularity of fractal dimensions in quadrumodal maps;
四峰映射分维的整体规律
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