| Belousov Zhabotinsky化学反应系统的渐近稳定性 |
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| 引用本文： | 李全国.Belousov Zhabotinsky化学反应系统的渐近稳定性[J].数学的实践与认识,2009,39(3). |
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| 作者姓名： | 李全国 |
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| 作者单位： | 暨南大学,数学系,广州,510632 |
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| 摘 要： | 用无穷维动力系统的方法研究了Belousov Zhabotinsky化学反应系统的长时间行为.在齐次边界条件与非齐次边界条件下证明了系统在其不变流形上的全局吸引子为系统在该不变流形内的唯一平衡点,从而得到了该系统的渐近稳定性.
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| 关 键 词： | Belousov Zhabotinsky化学反应系统 平衡点 稳定性 |
The Asymptotically Stability of Belousov Zhabotinsky System |
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| LI Quan-guo.The Asymptotically Stability of Belousov Zhabotinsky System[J].Mathematics in Practice and Theory,2009,39(3). |
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| Authors: | LI Quan-guo |
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| Abstract: | This paper has firstly studied the long time behaviour of the Belousov Zhabotinsky system by the Infinite Dimensional Dynamical Systems method.At the same time,we have proved that the the global solution of system is the unique equilibrium point in the invariant region R Under homogeneous Boundary Condition and Nonhomogeneous Boundary Condition,then Asymptotically Stability of the system has been proved. |
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| Keywords: | belousov zhabotinsky combustion system equilibrium point stability |
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