Chaos control in the fractional order logistic map via impulses
Year of publication
2019
Authors
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay
Abstract
In this paper, the chaos control in the discrete logistic map of fractional order is obtained with an impulsive control algorithm. The underlying discrete initial value problem of fractional order is considered in terms of Caputo delta fractional difference. Every Δ steps, the state variable is instantly modified with the same impulse value, chosen from a bifurcation diagram versus impulse. It is shown that the solution of the impulsive control is bounded. The numerical results are verified via time series, histograms and the 0-1 test. Several examples are considered.
Show moreOrganizations and authors
University of Jyväskylä
Kuznetsov Nikolay
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal
Publisher
Volume
98
Issue
2
Pages
1219-1230
ISSN
Publication forum
Publication forum level
2
Open access
Open access in the publisher’s service
No
Self-archived
No
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object]
Publication country
Netherlands
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1007/s11071-019-05257-2
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes