TY - JOUR
T1 - Noise-induced Dynamics in a Delayed Triple-well Potential System Driven by Correlated Noises
AU - Jin, Yanfei
AU - Xu, Pengfei
N1 - Publisher Copyright:
© 2018
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In this paper, the effects of time delay and correlated noises on noise-induced dynamics in a delayed triple-well potential system are studied. Using the linear response theory, we derive the expression of the transient response to show the effectiveness of the system response to a periodic forcing. The effectiveness of the system response to an external forcing can be improved in a triple-well system by choosing the proper time delay and noise cross-correlation. Moreover, the power spectrum and the quality factor are calculated to quantify coherence resonance (CR). It is found that the power spectrum and the quality factor show the peak structure as the optimal noise intensities are chosen. That is, the CR appears in this system. The noise cross-correlation can break the symmetry of the triple-well potential and induce the transition of the interwell resonance among different wells. The presence of time delay in the triple-well potential enhances the role of multiplicative noise in the regularity dynamics.
AB - In this paper, the effects of time delay and correlated noises on noise-induced dynamics in a delayed triple-well potential system are studied. Using the linear response theory, we derive the expression of the transient response to show the effectiveness of the system response to a periodic forcing. The effectiveness of the system response to an external forcing can be improved in a triple-well system by choosing the proper time delay and noise cross-correlation. Moreover, the power spectrum and the quality factor are calculated to quantify coherence resonance (CR). It is found that the power spectrum and the quality factor show the peak structure as the optimal noise intensities are chosen. That is, the CR appears in this system. The noise cross-correlation can break the symmetry of the triple-well potential and induce the transition of the interwell resonance among different wells. The presence of time delay in the triple-well potential enhances the role of multiplicative noise in the regularity dynamics.
KW - Delayed triple-well potential
KW - coherence resonance
KW - correlated noises
KW - quality factor
KW - transient response
UR - http://www.scopus.com/inward/record.url?scp=85052432563&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2018.07.221
DO - 10.1016/j.ifacol.2018.07.221
M3 - Article
AN - SCOPUS:85052432563
SN - 2405-8963
VL - 51
SP - 189
EP - 194
JO - 14th IFAC Workshop on Time Delay Systems TDS 2018: Budapest, Hungary, 28-30 June 2018
JF - 14th IFAC Workshop on Time Delay Systems TDS 2018: Budapest, Hungary, 28-30 June 2018
IS - 14
ER -
