EI、Scopus 收录
中文核心期刊
DEGENERATE BIFURCATIONS OF CODIMENSION TWO IN NONLINEAR OSCILLATOR UNDER COMBINED PARAMETRIC AND FORCING EXCITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(6): 717-727. DOI: 10.6052/0459-1879-1992-6-1995-795
Citation: DEGENERATE BIFURCATIONS OF CODIMENSION TWO IN NONLINEAR OSCILLATOR UNDER COMBINED PARAMETRIC AND FORCING EXCITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(6): 717-727. DOI: 10.6052/0459-1879-1992-6-1995-795

DEGENERATE BIFURCATIONS OF CODIMENSION TWO IN NONLINEAR OSCILLATOR UNDER COMBINED PARAMETRIC AND FORCING EXCITATION

  • In this paper, first we study normal form theory with Z2-symmetry and universal unfolding theory of the degenerate vector field. Then we use above mentioned theory to study degenerate bifurcations of codimension two in nonlinear oscillator under combined parame-tric and forcing excitation. Thereby stability problems with double zero eigenvalues can be solved. Finally the curves for homoclinic bifurcaron in parameter plane are given by using Melnikov's method and the existence of global bifurcation is discus...
  • Related Articles

    [1]Wang Yanqing Guo Xinghui Liang Hongkun Li Jian Jin Chengwu. Nonlinear vibratory characteristics and bifurcations of shrouded blades[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(4): 755-764. DOI: 10.6052/0459-1879-2011-4-lxxb2010-487
    [2]Yourong Li, Lan Peng, Shuangying Wu, Nobuyuki Imaishi. Bifurcation of thermocapillary convection in a shallow annular pool of silicon melt[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(1): 43-48. DOI: 10.6052/0459-1879-2007-1-2005-470
    [3]CALCULATING NORMAL FORMS FOR NONSEMI SIMPLE BIFURCATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(4): 423-433. DOI: 10.6052/0459-1879-1998-4-1995-145
    [4]ON CO-DIMENSION 2 BIFURCATION SYSTEM EXCITED PARAMETRICALLY BY WHITE NOISES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(5): 563-572. DOI: 10.6052/0459-1879-1997-5-1995-267
    [5]A MATHEMATICAL MODEL FOR IMPACT HAMMERS AND IT'S GLOBAL BIFURCATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 456-463. DOI: 10.6052/0459-1879-1997-4-1995-251
    [6]SHEAR-BAND BIFURCATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(1): 31-38. DOI: 10.6052/0459-1879-1994-1-1995-519
    [7]NORMAL FORM AND CODIMENSION 3 DEGENERATE BIFURCATION OF A NONLINEAR DYNAMICAL SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(5): 548-559. DOI: 10.6052/0459-1879-1993-5-1995-677
    [8]THE HOPF BIFURCATION OF THE VAN DER POL-DUFFING OSCILLATOR IN THE PRESENCE OF BOTH PARAMETRIC AND THE EXTERNAL INFLUENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(4): 411-418. DOI: 10.6052/0459-1879-1993-4-1995-660
    [9]INVESTIGATION ON DYNAMICAL BIFURCATIONS OF A NONLINEAR PARAMETRIC EXCITATION SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(2): 169-175. DOI: 10.6052/0459-1879-1993-2-1995-628
    [10]BIFURCATIONS OF NONLINEAR OSCILLATION SYSTEM UNDER COMBINED PARAMETRIC AND FORCING EXCITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(4): 464-474. DOI: 10.6052/0459-1879-1991-4-1995-864

Catalog

    Article Metrics

    Article views (1707) PDF downloads (571) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return