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Time varying feedback control on multi-stability in hidden attractor

Year of publication

2020

Authors

Sharma, Amit; Yadav, Kiran; Shrimali, Manish Dev; Prasad, Awdhesh; Kuznetsov, Nikolay V.

Abstract

We study a on-off feedback method to control the dynamics of a radio physical oscillator having hidden coexisting attractors. The proposed time-varying on-off feedback effectively controls the multi-stability which acts in an on-off manner. We show that for suitable values of feedback strength, feedback active time ratio and time period, the coexisting chaotic and periodic dynamics of the system go to a mono-stable periodic state followed by a stable steady state. This transition from multiple attractors to a single attractor is confirmed by calculating bifurcation diagram, Lyapunov exponent and the basin size as a measure. We also illustrate the generation of chaotic attractor in the system using this scheme.
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Organizations and authors

University of Jyväskylä

Kuznetsov Nikolay

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Publisher

Springer

Volume

229

Issue

6-7

Pages

1245-1255

​Publication forum

55844

​Publication forum level

1

Open access

Open access in the publisher’s service

No

Self-archived

No

Other information

Fields of science

Mathematics; Electronic, automation and communications engineering, electronics

Keywords

[object Object],[object Object],[object Object],[object Object]

Publication country

Germany

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

No

DOI

10.1140/epjst/e2020-900167-1

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes