TY - JOUR

T1 - Time varying feedback control on multi-stability in hidden attractor

AU - Sharma, Amit

AU - Yadav, Kiran

AU - Shrimali, Manish Dev

AU - Prasad, Awdhesh

AU - Kuznetsov, Nikolay V.

PY - 2020/3/1

Y1 - 2020/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85082822595&partnerID=8YFLogxK

U2 - 10.1140/epjst/e2020-900167-1

DO - 10.1140/epjst/e2020-900167-1

M3 - Article

AN - SCOPUS:85082822595

VL - 229

SP - 1245

EP - 1255

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

SN - 1951-6355

IS - 6-7

ER -