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受控Rabinovich系统的超混沌系统 被引量:2

Hyperchaotic system from controlled Rabinovich system
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摘要 在三维Rabinovich系统的基础上,通过引入一个线性状态反馈控制器构建一个新的四维超混沌系统,分析其基本动力学行为.在保证系统有界的前提下,通过计算Lyapunov指数值和研究其分岔的途径,证实其超混沌的特性.还给出了四维超混沌系统的指数吸引域和正向不变集等.同时也设计了实现四维Rabinovich超混沌吸引子的实际电路,验证了理论分析的结果. A new four-dimensional continuous autonomous hyperchaotic system is presented,which is constructed by adding a linear controller to the famous three-dimensional Rabinovich system.Some basic dynamical behaviors of the hyperchaotic system are further investigated.The corresponding bounded hyperchaotic and chaotic attractor are first nu-merically verified through investigating phase trajectories,Lyapunove exponents,bifurcation path and the analysis of power spectrum and Poincaré projections.Furthermore,the global exponential attractive set and positive invariant set are found for the four-dimensional Rabinovich system;and the strict mathematical proofs are given.Moreover,it is implemented in an electronic circuit and tested experimentally in our laboratory,showing very good agreement between experimental results with the simulation results and validating this new four-dimensional chaotic and hyperchaotic system.
作者 刘永建
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2011年第11期1671-1678,共8页 Control Theory & Applications
基金 国家自然科学基金资助项目(11161051) 广西教育厅科研资助项目(200911LX356) 广西自然科学基金资助项目(0991283)
关键词 Rabinovich系统 超混沌 全局指数吸引集 超混沌电路 Rabinovich system hyperchaos globally exponential attractive set hyperchaotic circuit
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参考文献25

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同被引文献16

  • 1任海鹏,刘丁,韩崇昭.基于直接延迟反馈的混沌反控制[J].物理学报,2006,55(6):2694-2701. 被引量:21
  • 2王繁珍,齐国元,陈增强,张宇辉,袁著祉.一个新的三维混沌系统的分析、电路实现及同步[J].物理学报,2006,55(8):4005-4012. 被引量:38
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  • 10仓诗建,陈增强,袁著祉.一个新四维非自治超混沌系统的分析与电路实现[J].物理学报,2008,57(3):1493-1501. 被引量:40

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