Fuzzy Cell Mapping
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- Fuzzy Cell Mapping
- 发表刊物：
- Global Analysis of Nonlinear Dynamics, Springer
- 摘要：
- J. Q. Sun and Ling Hong (2012) “Fuzzy Cell Mapping” In Global Analysis of Nonlinear Dynamics, Edited by Jian-Qiao Sun and Albert C. J. Luo. Springer, New York, Pages 161-174.
Abstract: Bifurcations of a forced Duffing oscillator in the presence of fuzzy noise are studied by means of the fuzzy generalized cell mapping (FGCM) method. The FGCM method is first introduced. Two categories of bifurcations are investigated, namely catastrophic and explosive bifurcations. Fuzzy bifurcations are characterized by topological changes of the attractors of the system, represented by the persistent groups of cells in the context of the FGCM method, and by changes of the steady state membership distribution. The fuzzy noise-induced bifurcations studied herein are not commonly seen in the deterministic systems, and can be well described by the FGCM method. Furthermore, two conjectures are proposed regarding the condition under which the steady state membership distribution of a fuzzy attractor is invariant or not.
- 合写作者：
- Jian-Qiao Sun, Ling Hong
- 卷号：
- Book Chapter 7
- 页面范围：
- 161-174
- 是否译文：
- 否
- 发表时间：
- 2012-05-01