TY - GEN
T1 - Noise-Induced Transitions and Resonances in a Delayed Triple-Well Potential System
AU - Jin, Yanfei
AU - Xu, Pengfei
N1 - Publisher Copyright:
© 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.
PY - 2020
Y1 - 2020
N2 - The noise-induced transitions and resonances are studied in a delayed triple-well potential system driven by correlated Gaussian white noises and a harmonic signal. The analytical expressions for the stationary probability density (SPD) and the spectral amplification (SA) are derived by using the small time delay approximation and the linear response theory. The results show rich transition and resonance phenomena. It is found that the time delay induces an occurrence of the transitions of the system. Both the reentrance phenomena in noise-induced transitions and the double stochastic resonance (SR) are observed when the multiplicative and additive noises are correlated. Under the condition of large noise intensity, the noise-induced resonance effect can be enhanced with the assistance of the crosscorrelation between noises. Moreover, the noise-induced resonance phenomenon notably depends on the cooperative effects of time delay and correlated noises. The appropriate choice of noise intensities and time delay can improve the response of the system to an external forcing.
AB - The noise-induced transitions and resonances are studied in a delayed triple-well potential system driven by correlated Gaussian white noises and a harmonic signal. The analytical expressions for the stationary probability density (SPD) and the spectral amplification (SA) are derived by using the small time delay approximation and the linear response theory. The results show rich transition and resonance phenomena. It is found that the time delay induces an occurrence of the transitions of the system. Both the reentrance phenomena in noise-induced transitions and the double stochastic resonance (SR) are observed when the multiplicative and additive noises are correlated. Under the condition of large noise intensity, the noise-induced resonance effect can be enhanced with the assistance of the crosscorrelation between noises. Moreover, the noise-induced resonance phenomenon notably depends on the cooperative effects of time delay and correlated noises. The appropriate choice of noise intensities and time delay can improve the response of the system to an external forcing.
KW - Correlated noises
KW - Noise-induced transition and resonance
KW - Time delay
UR - http://www.scopus.com/inward/record.url?scp=85125646704&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-34713-0_52
DO - 10.1007/978-3-030-34713-0_52
M3 - Conference contribution
AN - SCOPUS:85125646704
T3 - Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019
SP - 523
EP - 531
BT - Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019
A2 - Lacarbonara, Walter
A2 - Balachandran, Balakumar
A2 - Ma, Jun
A2 - Tenreiro Machado, J.A.
A2 - Stepan, Gabor
PB - Springer Nature
T2 - 1st International Nonlinear Dynamics Conference, NODYCON 2019
Y2 - 17 February 2019 through 20 February 2019
ER -