| 非光滑系统的混沌同步 |
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| 引用本文： | 付士慧.非光滑系统的混沌同步[J].动力学与控制学报,2010,8(4):326-329. |
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| 作者姓名： | 付士慧 |
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| 作者单位： | 郑州大学数学系,郑州,450001 |
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| 基金项目： | 国家自然科学基金资助项目 (10702065,11002055) |
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| 摘 要： | 通过广义哈密顿系统和观测器法，本文将非光滑混沌系统的同步问题转化成了研究光滑系统零解的稳定性，从而给出了混沌同步的条件．对具体的带于摩擦，碰撞的Duffing振子分别进行研究，使其达到了完全同步，表明该方法的正确性．
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| 关 键 词： | 广义哈密顿系统 混沌同步 干摩擦 碰撞 |
| 收稿时间： | 2010/8/12 0:00:00 |
| 修稿时间： | 2010/9/13 0:00:00 |
The chaotic synchronization of non-smooth systems |
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| Fu shihui.The chaotic synchronization of non-smooth systems[J].Journal of Dynamics and Control,2010,8(4):326-329. |
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| Authors: | Fu shihui |
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| Affiliation: | Fu shihui(Department of Mathematics,Zhengzhou University,Zhengzhou,Henan 450001,China) |
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| Abstract: | Through a Generalized Hamiltonian system and observer approach,the chaotic synchronization of non-smooth systems was transformed into the stability of zero solution of smooth systems,thus the condition of the chaotic synchronization was obtained.Moreover,the Duffing Oscillator with dry friction and impact and their chaotic synchronization were studied.The numerical results agreed well with the theoretical analysis. |
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| Keywords: | generalized Hamiltonian system chaotic synchronization dry friction impact |
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