FUZZY CODIMENSION TWO BIFURCATIONS

被引:0
|
作者
Hong, Ling [1 ]
Sun, Jian-Qiao [1 ]
机构
[1] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat, Xian 710049, Peoples R China
来源
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE 2011, VOL 1, PTS A AND B: 23RD BIENNIAL CONFERENCE ON MECHANICAL VIBRATION AND NOISE | 2012年
关键词
GLOBAL ANALYSIS; SYSTEMS; DYNAMICS; OSCILLATOR;
D O I
暂无
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
By means of fuzzy generalized cell mapping method, a Duffing-Van der Pol oscillator in the presence of fuzzy noise is studied in a regime where two symmetrically related fuzzy period-one attractors grow and merge as the intensity of fuzzy noise is increased. By introducing a small symmetry-breaking parameter to break the symmetry, the merging explosion bifurcation unfolds to a pattern of two catastrophic and explosive bifurcations. Considering both the intensity of fuzzy noise and the symmetry-breaking parameter together as controls, a codimension two bifurcation of fuzzy attractors is defined, and two examples of additive and multiplicative fuzzy noise are given. Such a codimension two bifurcation is fuzzy noise-induced effects which cannot be seen in the deterministic systems.
引用
收藏
页码:601 / 608
页数:8
相关论文
共 50 条
  • [21] The effect of codimension-two bifurcations on the global dynamics of a gear model
    Mason, Joanna F.
    Piiroinen, Petri T.
    SIAM Journal on Applied Dynamical Systems, 2009, 8 (04): : 1694 - 1711
  • [22] CODIMENSION ONE AND TWO BIFURCATIONS IN CATTANEO-CHRISTOV HEAT FLUX MODEL
    Wei, Zhouchao
    Zhang, Wei
    Moroz, Irene
    Kuznetsov, Nikolay V.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (10): : 5305 - 5319
  • [23] Codimension-two bifurcations analysis and tracking control on a discrete epidemic model
    Na Yi
    Qingling Zhang
    Peng Liu
    Yanping LIN
    Journal of Systems Science and Complexity, 2011, 24 : 1033 - 1056
  • [24] Bursting oscillations near codimension-two bifurcations in the Chay neuron model
    Duan, LX
    Lu, QS
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (01) : 59 - 63
  • [25] A codimension-two scenario of sliding solutions in grazing-sliding bifurcations
    Nordmark, AB
    Kowalczyk, P
    NONLINEARITY, 2006, 19 (01) : 1 - 26
  • [26] TWO CODIMENSION-TWO BIFURCATIONS OF A SECOND-ORDER DIFFERENCE EQUATION FROM MACROECONOMICS
    Zhong, Jiyu
    Deng, Shengfu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (04): : 1581 - 1600
  • [27] Codimension two bifurcations of discrete Bonhoeffer–van der Pol oscillator model
    J. Alidousti
    Z. Eskandari
    M. Fardi
    M. Asadipour
    Soft Computing, 2021, 25 : 5261 - 5276
  • [28] Codimension-two bifurcations analysis and tracking control on a discrete epidemic model
    Yi, Na
    Zhang, Qingling
    Liu, Peng
    Lin, Yanping
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (06) : 1033 - 1056
  • [29] Control of codimension one stationary bifurcations
    Verduzco, Fernando
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (02): : 575 - 582
  • [30] CODIMENSION 2 BIFURCATIONS IN THE PRESENCE OF NOISE
    NAMACHCHIVAYA, N
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1991, 58 (01): : 259 - 265