| 混沌同步稳定性分析及在一个二维广告竞争模型中的应用 |
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| 引用本文： | 齐洁, 汪定伟. 混沌同步稳定性分析及在一个二维广告竞争模型中的应用. 自动化学报, 2005, 31(2): 209-215. |
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| 作者姓名： | 齐洁 汪定伟 |
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| 作者单位： | 1.Institute of Systems Engineering, School of Information Science and Engineering, Northeastern University, Shenyang 110004 |
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| 摘 要： | A class of map in which chaotic synchronization can occur is defined. The transverse Lyapunov exponents are used to determine the stability of synchronized trajectories. Some complex phenomena closely related to chaotic synchronization, namely riddled basin, riddling bifurcation and blowout bifurcation are theoretically analyzed. Riddling bifurcation and blowout bifurcation may change the synchronization stability of the system. And two types of riddled basins, i.e., global riddled basin and local riddled basin, may come into being after riddling bifurcation. An advertising competing model based on Vidale-Wolfe model is proposed and analyzed by the above theories at the end of the paper.
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| 关 键 词： | Chaotic synchronization riddling bifurcation blowout bifurcation riddled attracting basin advertising competing model |
| 收稿时间： | 2003-07-03 |
| 修稿时间： | 2004-05-22 |
Analysis of Chaotic Synchronization Stability and Its Application to a Two-dimensional Advertising Competing Model |
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| QI Jie, WANG Ding-Wei. Analysis of Chaotic Synchronization Stability and Its Application to a Two-dimensional Advertising Competing Model. ACTA AUTOMATICA SINICA, 2005, 31(2): 209-215. |
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| Authors: | QI Jie WANG Ding-Wei |
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| Affiliation: | 1. Institute of Systems Engineering, School of Information Science and Engineering, Northeastern University, Shenyang 110004 |
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| Abstract: | A class of map in which chaotic synchronization can occur is defined. The transverse Lyapunov exponents are used to determine the stability of synchronized trajectories. Some complex phenomena closely related to chaotic synchronization, namely riddled basin, riddling bifurcation and blowout bifurcation are theoretically analyzed. Riddling bifurcation and blowout bifurcation may change the synchronization stability of the system. And two types of riddled basins, i.e., global riddled basin and local riddled basin, may come into being after riddling bifurcation. An advertising competing model based on Vidale-Wolfe model is proposed and analyzed by the above theories at the end of the paper. |
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| Keywords: | Chaotic synchronization riddling bifurcation blowout bifurcation riddled attracting basin advertising competing model |
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