Codimension two bifurcations of nonlinear systems driven by fuzzy noise

被引：23
|
作者：
Hong, L [1 ]
Sun, JQ [1 ]
机构：
[1] Univ Delaware, Dept Mech Engn, Newark, DE 19716 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 213卷 / 02期
基金：
美国国家科学基金会;
关键词：
fuzzy dynamical systems; fuzzy differential inclusions; Duffing-Van der Pol oscillator; fuzzy noise; fuzzy bifurcation; cell mapping methods;
D O I：
10.1016/j.physd.2005.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of a 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 the 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 the fuzzy noise and the symmetry-breaking parameter together as controls, a codimension two bifurcation of fuzzy attractors is defined, and examples of additive and multiplicative fuzzy noise are given. Such a codimension two bifurcation is fuzzy noise-induced effects which cannot be seen ill the deterministic systems. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：181 / 189
页数：9
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