Chaos Suppression in a Gompertz-like Discrete System of Fractional Order

被引：2

作者：

Danca, Marius-F ^{[1
]}

Feckan, Michal ^{[2
,3
]}

机构：

[1] Avram Iancu Univ Cluj Napoca, Dept Math & Comp Sci, Cluj Napoca, Romania

[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava, Slovakia

[3] Slovak Acad Sci, Math Inst, Bratislava, Slovakia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2020年 / 30卷 / 03期

关键词：

Discrete fractional order system; Gompertz-like system; chaos suppression;

D O I：

10.1142/S0218127420500492

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the fractional-order variant of a Gompertz-like discrete system. The chaotic behavior is suppressed with an impulsive control algorithm. The numerical integration and the Lyapunov exponent are obtained by means of the discrete fractional calculus. To verify numerically the obtained results, beside the Lyapunov exponent, the tools offered by the 0-1 test are used.

引用

页数：12

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