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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

齐洁 汪定伟

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.
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.
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.
Citation: 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.

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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    通讯作者:

    齐洁

Analysis of Chaotic Synchronization Stability and Its Application to a Two-dimensional Advertising Competing Model

More Information
    Corresponding author: QI Jie
  • 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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出版历程
  • 收稿日期:  2003-07-03
  • 修回日期:  2004-05-22
  • 刊出日期:  2005-03-20

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