Processing math: 100%
EI、Scopus 收录
中文核心期刊
The bifurcation of noisy bistable Duffing oscillator's moment equations and stochastic resonance[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 288-293. DOI: 10.6052/0459-1879-2006-2-2004-414
Citation: The bifurcation of noisy bistable Duffing oscillator's moment equations and stochastic resonance[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(2): 288-293. DOI: 10.6052/0459-1879-2006-2-2004-414

The bifurcation of noisy bistable Duffing oscillator's moment equations and stochastic resonance

  • In this paper, the relationship between thebifurcation of noisy bistable Duffing oscillator's moment equations andstochastic resonance of this system is studied. According to therelationship, the mechanism of stochastic resonance of the bistable Duffingoscillator is revealed from another viewpoint. First, the momentequations of the bistable Duffing oscillator in the presence of Gaussiandistributed white noise and weak periodic signal are obtained on the basisof Itˆo equation. Second, the bifurcation behavior of its momentequations with noise intensity as their bifurcation parameter is analyzed.Third, the relationship between stochastic resonance of the bistable Duffingoscillator and the behavior of bifurcation of the moment equations is studiedquantitatively. Finally, the mechanism ofstochastic resonance of the bistable Duffing oscillator is presented fromanother viewpoint, that is, the transfer of the energy distribution of thefirst moment of the original system response occurs because of occurrence ofbifurcation of the moment equations with noise intensity bifurcation parameter,and the transfer makes the energy of system response concentrate in thefrequency component whose frequency is equal to that of input, then the weaksignal is amplified and stochastic resonance occurs.
  • Related Articles

    [1]Optimization of unsteady cavitation performance of airfoil based on machine learning[J]. Chinese Journal of Theoretical and Applied Mechanics.
    [2]Hua Zhang, Zhiyong Lu, Shengdong Sun. The experimental study on unsteady horseshoe vortex structure in juncture flow with PIV[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 171-178. DOI: 10.6052/0459-1879-2008-2-2007-246
    [3]Laiping Zhang, Xinghua Chang, Xupeng Duan, Zhenya Wang, Hanxin Zhang. Implicit algorithm based on dynamic hybrid mesh for incompressible unsteady flows[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(5): 577-586. DOI: 10.6052/0459-1879-2007-5-2006-397
    [4]Unsteady flow mechanisms revisited in insect flapping flight[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 257-265. DOI: 10.6052/0459-1879-2005-3-2004-137
    [5]NUMERICAL SIMULATION OF THE VORTEX STRUCTURES OF A CIRCULAR. CYLINDER OSCILLATING TRANSVERSELY IN UNIFORM FLOWS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(5): 537-547. DOI: 10.6052/0459-1879-1993-5-1995-676
    [6]THEORETICAL SOLUTION ON HEAT TRANSFER IN OSCILLATORY PIPE FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 614-619. DOI: 10.6052/0459-1879-1992-5-1995-781
    [7]THREE EXACT SOLUTIONS OF INCOMPRESSIBLE POTENTIAL FLOW INDUCED BY TWO CIRCLES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(5): 549-555. DOI: 10.6052/0459-1879-1991-5-1995-875
    [8]A STUDY ON NON-STEADY FLOW OF UPPER-CONVECTED MAXWELL FLUID IN TUBE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(5): 519-525. DOI: 10.6052/0459-1879-1990-5-1995-980

Catalog

    Article Metrics

    Article views (2231) PDF downloads (699) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return