| EEG信号数学模型与广义非线性动力学方程 |
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| 引用本文： | 周霆,李娟,余轮. EEG信号数学模型与广义非线性动力学方程[J]. 福州大学学报(自然科学版), 2009, 37(2) |
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| 作者姓名： | 周霆 李娟 余轮 |
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| 作者单位： | 福州大学物理与信息工程学院,福建,福州,350108 |
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| 基金项目： | 福建省教育厅科研项目 |
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| 摘 要： | 从脑电信号与非线性动力学各种物理量之间的对应关系人手,在Van der Pol方程基础上推导了表达脑电信号的广义非线性动力学方程组系统,讨论了该系统的特性和3种求解方法,指出混沌系统内部存在吸引子突然消失(边界激变)或膨胀(内部激变)现象.
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| 关 键 词： | 脑电信号 物理比拟 广义非线性动力学方程 Lyapunov指数 混沌吸引子 |
Dynamic mathematic model and its solutions for epileptic EEG signal |
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| ZHOU Ting,LI Juan,YU Lun. Dynamic mathematic model and its solutions for epileptic EEG signal[J]. Journal of Fuzhou University(Natural Science Edition), 2009, 37(2) |
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| Authors: | ZHOU Ting LI Juan YU Lun |
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| Affiliation: | College of Physics and Information Engineering;Fuzhou University;Fuzhou;Fujian 350108;China |
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| Abstract: | The electroencephalography(EEG) signal is assimilated with relevant physical elements in nonlinear dynamics in this paper.Then the system of general nonlinear dynamic function groups are derived from single degree Van der PoL function,which can be used to express the epileptic EEG signal.Then after discussing its properties and three kinds solutions,a concrete algorithm for calculating Lyapunov spectrum is proposed,and the internal attractor's abrupt change behavior(i.e.sudden disappearance or expansion) in... |
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| Keywords: | EEG physical assimilation general nonlinear dynamic function Lyapunov exponent chaos attractor |
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