Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system

被引：23

作者：

Danca, Marius-F. ^{[1
,2
]}

Feckan, Michal ^{[3
,4
]}

机构：

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

[2] Romanian Inst Sci & Tecchnol, Cluj Napoca, Romania

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

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 74卷

关键词：

Supply and demand model; Chaos suppression; Difference equation with impulses; Coexisting attractors; Hidden chaotic attractors; Self-excited attractors; FRACTIONAL-ORDER; MULTISTABILITY; STABILIZATION; SELECTION; PULSES; MODELS; LASER;

D O I：

10.1016/j.cnsns.2019.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Impulsive control is used to suppress the chaotic behavior in an one-dimensional discrete supply and demand dynamical system. By perturbing periodically the state variable with constant impulses, the chaos can be suppressed. It is proved analytically that the obtained orbits are bounded and periodic. Moreover, it is shown for the first time that the difference equations with impulses, used to control the chaos, can generate hidden chaotic attractors. To the best of the authorsknowledge, this interesting feature has not yet been discussed. The impulsive algorithm can be used to stabilize chaos in other classes of discrete dynamical systems. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：1 / 13

页数：13

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