On chaotification of discrete systems

Yongai Zheng; Guanrong Chen; Zengrong Liu

doi:10.1142/S0218127403008661

On chaotification of discrete systems

Yongai Zheng
, Guanrong Chen
, Zengrong Liu

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

19 Citations (Scopus)

Abstract

In this paper, the problem of making a nonlinear system chaotic by using state-feedback control is studied. The feedback controller uses a simple sine function of the system state, but only one component in each dimension. It is proved, by using the anti-integrable limit method, that the designed control system generates chaos in the sense of Devaney. In fact, the controlled system so designed is a perturbation of the original system, which turns out to be a simple Bernoulli shift.

Original language	English
Pages (from-to)	3443-3447
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	13
Issue number	11
DOIs	https://doi.org/10.1142/S0218127403008661
Publication status	Published - Nov 2003

Research Keywords

Bernoulli shift
Chaos generation
Chaotification

Access Output

10.1142/S0218127403008661

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{0867b255dfe3419a89557a46e158fb2d,

title = "On chaotification of discrete systems",

abstract = "In this paper, the problem of making a nonlinear system chaotic by using state-feedback control is studied. The feedback controller uses a simple sine function of the system state, but only one component in each dimension. It is proved, by using the anti-integrable limit method, that the designed control system generates chaos in the sense of Devaney. In fact, the controlled system so designed is a perturbation of the original system, which turns out to be a simple Bernoulli shift.",

keywords = "Bernoulli shift, Chaos generation, Chaotification",

author = "Yongai Zheng and Guanrong Chen and Zengrong Liu",

year = "2003",

month = nov,

doi = "10.1142/S0218127403008661",

language = "English",

volume = "13",

pages = "3443--3447",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific",

number = "11",

}

TY - JOUR

T1 - On chaotification of discrete systems

AU - Zheng, Yongai

AU - Chen, Guanrong

AU - Liu, Zengrong

PY - 2003/11

Y1 - 2003/11

N2 - In this paper, the problem of making a nonlinear system chaotic by using state-feedback control is studied. The feedback controller uses a simple sine function of the system state, but only one component in each dimension. It is proved, by using the anti-integrable limit method, that the designed control system generates chaos in the sense of Devaney. In fact, the controlled system so designed is a perturbation of the original system, which turns out to be a simple Bernoulli shift.

AB - In this paper, the problem of making a nonlinear system chaotic by using state-feedback control is studied. The feedback controller uses a simple sine function of the system state, but only one component in each dimension. It is proved, by using the anti-integrable limit method, that the designed control system generates chaos in the sense of Devaney. In fact, the controlled system so designed is a perturbation of the original system, which turns out to be a simple Bernoulli shift.

KW - Bernoulli shift

KW - Chaos generation

KW - Chaotification

UR - https://www.scopus.com/pages/publications/1442311489

UR - https://www.scopus.com/pages/publications/1442311489#tab=impact

U2 - 10.1142/S0218127403008661

DO - 10.1142/S0218127403008661

M3 - RGC 21 - Publication in refereed journal

SN - 0218-1274

VL - 13

SP - 3443

EP - 3447

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 11

ER -

On chaotification of discrete systems

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this