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

页数：14

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