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
  • [41] Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two
    Bai, FS
    Champneys, AR
    DYNAMICS AND STABILITY OF SYSTEMS, 1996, 11 (04): : 325 - 346
  • [42] Codimension-two bifurcations in indirect field oriented control of induction motor drives
    Salas, F.
    Gordillo, F.
    Aracil, J.
    Reginatto, R.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (03): : 779 - 792
  • [43] Unstable dimension variability and codimension-one bifurcations of two-dimensional maps
    Viana, RL
    Barbosa, JRR
    Grebogi, C
    PHYSICS LETTERS A, 2004, 321 (04) : 244 - 251
  • [44] Codimension-One and -Two Bifurcations of a Three-Dimensional Discrete Game Model
    Eskandari, Zohreh
    Alidousti, Javad
    Ghaziani, Reza Khoshsiar
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (02):
  • [45] Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions
    Schomerus, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (18): : 4167 - 4196
  • [46] Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two
    Tsinghua Univ, Beijing, China
    Dyn Stab Syst, 4 (325-346):
  • [47] Codimension two bifurcations of discrete Bonhoeffer-van der Pol oscillator model
    Alidousti, J.
    Eskandari, Z.
    Fardi, M.
    Asadipour, M.
    SOFT COMPUTING, 2021, 25 (07) : 5261 - 5276
  • [48] Higher-codimension bifurcations caused by delay
    Mingshu Peng
    Rong Yuan
    Nonlinear Dynamics, 2009, 58 : 453 - 467
  • [49] Higher-codimension bifurcations caused by delay
    Peng, Mingshu
    Yuan, Rong
    NONLINEAR DYNAMICS, 2009, 58 (03) : 453 - 467
  • [50] Homoclinic bifurcations of endomorphisms: The codimension one case
    Mora, L
    APPLIED MATHEMATICS LETTERS, 1998, 11 (06) : 81 - 86