TY - JOUR
T1 - Restoration of oscillation in network of oscillators in presence of direct and indirect interactions
AU - Majhi, Soumen
AU - Bera, Bidesh K.
AU - Bhowmick, Sourav K.
AU - Ghosh, Dibakar
N1 - Funding Information:
Authors acknowledge the anonymous referees for their insightful suggestions. SKB acknowledges support by the DST , Govt. of India (Project no. YSS/2014/000687 ).
Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2016/10/23
Y1 - 2016/10/23
N2 - The suppression of oscillations in coupled systems may lead to several unwanted situations, which requires a suitable treatment to overcome the suppression. In this paper, we show that the environmental coupling in the presence of direct interaction, which can suppress oscillation even in a network of identical oscillators, can be modified by introducing a feedback factor in the coupling scheme in order to restore the oscillation. We inspect how the introduction of the feedback factor helps to resurrect oscillation from various kinds of death states. We numerically verify the resurrection of oscillations for two paradigmatic limit cycle systems, namely Landau–Stuart and Van der Pol oscillators and also in generic chaotic Lorenz oscillator. We also study the effect of parameter mismatch in the process of restoring oscillation for coupled oscillators.
AB - The suppression of oscillations in coupled systems may lead to several unwanted situations, which requires a suitable treatment to overcome the suppression. In this paper, we show that the environmental coupling in the presence of direct interaction, which can suppress oscillation even in a network of identical oscillators, can be modified by introducing a feedback factor in the coupling scheme in order to restore the oscillation. We inspect how the introduction of the feedback factor helps to resurrect oscillation from various kinds of death states. We numerically verify the resurrection of oscillations for two paradigmatic limit cycle systems, namely Landau–Stuart and Van der Pol oscillators and also in generic chaotic Lorenz oscillator. We also study the effect of parameter mismatch in the process of restoring oscillation for coupled oscillators.
KW - Amplitude death
KW - Environment coupling
KW - Feedback parameter
KW - Oscillation death
KW - Revival of oscillation
UR - http://www.scopus.com/inward/record.url?scp=84988322172&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2016.08.036
DO - 10.1016/j.physleta.2016.08.036
M3 - Article
AN - SCOPUS:84988322172
SN - 0375-9601
VL - 380
SP - 3617
EP - 3624
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 43
ER -