Coupled Discrete Fractional-Order Logistic Maps

被引：8
|
作者：
Danca, Marius-F [1 ]
Feckan, Michal [2 ,3 ]
Kuznetsov, Nikolay [4 ,5 ]
Chen, Guanrong [6 ]
机构：
[1] Romanian Inst Sci & Technol, Cluj Napoca 400504, Romania
[2] Comenius Univ, Fac Math Phys & Informat, Bratislava 84215, Slovakia
[3] Slovak Acad Sci, Math Inst, Bratislava 84104, Slovakia
[4] St Petersburg State Univ, Math & Mech Fac, St Petersburg 199034, Russia
[5] Univ Jyvaskyla, Dept Math Informat Technol, Jyvaskyla 40014, Finland
[6] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
来源：
MATHEMATICS | 2021年 / 9卷 / 18期
基金：
俄罗斯科学基金会;
关键词：
discrete fractional-order system; caputo delta fractional difference; fractional-order difference equation; stability; hidden attractor; PERIODIC-SOLUTIONS; APPROXIMATION APPROACH; CHAOTIC ATTRACTORS; HIDDEN ATTRACTORS; DIFFERENCE; STABILITY; NONEXISTENCE; OSCILLATIONS; EXISTENCE; SYSTEMS;
D O I：
10.3390/math9182204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo's delta fractional difference, regarding its numerical integration and chaotic dynamics. Some interesting new dynamical properties and unusual phenomena from this coupled chaotic-map system are revealed. Moreover, the coexistence of attractors, a necessary ingredient of the existence of hidden attractors, is proved and analyzed.
引用
收藏
页数：14
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