A1 Journal article (refereed)
Time varying feedback control on multi-stability in hidden attractor (2020)

Sharma, A., Yadav, K., Shrimali, M. D., Prasad, A., & Kuznetsov, N. V. (2020). Time varying feedback control on multi-stability in hidden attractor. European Physical Journal: Special Topics, 229(6-7), 1245-1255. https://doi.org/10.1140/epjst/e2020-900167-1

JYU authors or editors

Publication details

All authors or editors: Sharma, Amit; Yadav, Kiran; Shrimali, Manish Dev; Prasad, Awdhesh; Kuznetsov, Nikolay V.

Journal or series: European Physical Journal: Special Topics

ISSN: 1951-6355

eISSN: 1951-6401

Publication year: 2020

Volume: 229

Issue number: 6-7

Pages range: 1245-1255

Publisher: Springer

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1140/epjst/e2020-900167-1

Publication open access: Not open

Publication channel open access: 

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.

Keywords: oscillators; electronic circuits; control theory; chaos theory

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 1