Author:
Li Ruihong,Li Jun,Huang Dongmei
Abstract
Abstract
Static bifurcation and vibrational resonance in a fractional-order delay Duffing system with asymmetric potential are studied. By utilizing the fast and slow variable separation approach, the static bifurcation is discussed based on the equivalent system. It is found when fractional order and time delay change, the static bifurcation of fractional-order system with asymmetric potential is different from that of system with symmetric potential. In addition, changes in asymmetric parameter can also induce saddle-node bifurcation. Furthermore, according to the approximate analytical expression of response amplitude, the effects of high frequency amplitude, fractional order and asymmetric parameter on vibrational resonance are investigated. The results show that the number of resonance peaks of asymmetric potential system is related to the selection of initial value and the change of asymmetric parameter can also induce vibrational resonance. In the meantime, the good agreement between theoretical prediction and numerical simulation confirms the validity of theoretical analysis.
Funder
Young Talent Fund of University Association for Science and Technology in Shaanxi
National Natural Science Foundation of Shaanxi Province
Fundamental Research Funds for the Central Universities
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
Cited by
6 articles.
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