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
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