EI、Scopus 收录
中文核心期刊
NORMAL FORM OF THE MULTIPLE HOPF BIFURCATIONS IN NONINTERNAL RESONANCE CASES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(6): 669-675. DOI: 10.6052/0459-1879-1997-6-1995-283
Citation: NORMAL FORM OF THE MULTIPLE HOPF BIFURCATIONS IN NONINTERNAL RESONANCE CASES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(6): 669-675. DOI: 10.6052/0459-1879-1997-6-1995-283

NORMAL FORM OF THE MULTIPLE HOPF BIFURCATIONS IN NONINTERNAL RESONANCE CASES

  • By a newly developed method for finding the normal form, this paper deduces the normal form for the mutiple Hopf bifurcations of a high dimensional nonlinear dynamical system in noninternal resonance cases when its Jacobian matrix has many pairs of imaginary eigenvalues, and gives the expressions of the coefficients in the normal form by those inthe original system.
  • Related Articles

    [1]Liu Yanxiu, Shi Huailong, Zeng Jing, Kou Yunhao, Wu Shidong. HOPF BIFURCATION CHARACTERISTICS OF A HIGH-SPEED TRAIN WITH ACTIVE LATERAL SUSPENSION CONTROL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(4): 1088-1097. DOI: 10.6052/0459-1879-23-455
    [2]Wu Shijiang, Zhang Jiye, Sui Hao, Yin Zhonghui, Xu Qi. HOPF BIFURCATION STUDY OF WHEELSET SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2569-2581. DOI: 10.6052/0459-1879-21-321
    [3]Xue Miao, Ge Yawei, Zhang Zhengdi, Bi Qinsheng. BURSTING OSCILLATIONS AS WELL AS THE CLASSIFICATION IN THE FIELD WITH CODIMENSION-3 FOLD-FOLD-HOPF BIFURCATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1423-1438. DOI: 10.6052/0459-1879-21-024
    [7]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
    [8]ON THE HOPF BIFURCATION SYSTEM IN THE PRESENCE OF PARAMETRIC REAL NOISES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 158-166. DOI: 10.6052/0459-1879-1997-2-1995-211
    [9]HOPF BIFURCATIONS IN PLAN POLSEUILLE FLOW[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(6): 752-756. DOI: 10.6052/0459-1879-1994-6-1995-605
    [10]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

Catalog

    Article Metrics

    Article views (1629) PDF downloads (618) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return