Asymptotically Periodic and Bifurcation Points in Fractional Difference Maps

被引：0

作者：

Edelman, Mark ^{[1
,2
]}

机构：

[1] Yeshiva Univ, Stern Coll Women, 245 Lexington Ave, New York, NY 10016 USA

[2] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

来源：

FRACTAL AND FRACTIONAL | 2025年 / 9卷 / 04期

关键词：

fractional difference maps; periodic points; bifurcation points; 05.45.Pq; 45.10.Hj; LOGISTIC MAP; STABILITY; CHAOS; SYSTEMS;

D O I：

10.3390/fractalfract9040231; 10.3390/fractalfract9040231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The first step in investigating fractional difference maps, which do not have periodic points except fixed points, is to find asymptotically periodic and bifurcation points and draw asymptotic bifurcation diagrams. Recently derived equations that allow calculations of asymptotically periodic and bifurcation points contain coefficients defined as slowly converging infinite sums. In this paper, I derive analytic expressions for coefficients of the equations that allow calculations of asymptotically periodic and bifurcation points in fractional difference maps.

引用

页数：13

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