机构:
Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Strength & Vibrat, Xian 710049, Peoples R China
Hong, Ling
[1
]
Sun, Jian-Qiao
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Strength & Vibrat, Xian 710049, Peoples R China
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.