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

页码：601 / 608

页数：8

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