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| 超混沌系统的动力学性质及同步问题的研究 |
| The research of kinetic properties and the synchronization in the hyper-chaos system |
| 投稿时间：2014-06-16 |
| DOI：10.3969/j.issn.1005-5630.2015.01.014 |
| 中文关键词: 超混沌系统 观测器法 投影同步 完全同步 |
| 英文关键词:hyper-chaos system observation method projective synchronization fully synchronous |
| 基金项目:黑龙江省自然科学基金面上项目(A201402) |
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| 中文摘要: |
| 选取一个超混沌Qi系统,详细分析其动力学性质。采取基于观测器的方法来实现系统在不同初值条件下的同结构投影同步,并采用反馈法的思想设计合适的控制器,以实现Qi系统和Liu系统不同结构之间的完全同步。通过Lyapunov稳定性定理证明控制器的合理性,并对两种同步方法进行数值仿真来证明其可行性和有效性。 |
| 英文摘要: |
| By adopting a novel hyper-chaotic Qi system, we analyze its kinetic properties systematically. Based on the observation methods, under different initial conditions, we implement the projective synchronization with structure in this system. Along with the idea of feedback method, we also aim at designing a proper controller in order to achieve the fully synchronization between the Qi system and Liu system. Based on Lyapunov stability theorem, we prove the rationality of this controller. Meanwhile, we deploy the numerical simulations of the two synchronization methods to demonstrate its feasibility and effectiveness. |
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