| 混沌振荡系统的空时复杂度 |
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| 引用本文： | 芮国胜,张嵩,孙文军,张洋,崔文.混沌振荡系统的空时复杂度[J].数学的实践与认识,2011,41(18). |
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| 作者姓名： | 芮国胜 张嵩 孙文军 张洋 崔文 |
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| 作者单位： | 1. 海军航空工程学院信息与信号处理山东省重点实验室,山东烟台,264001
2. 96656部队,北京,102208 |
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| 摘 要： | 基于相轨迹随时间的变化规律,提出了混沌振荡系统空时复杂度的概念,给出了空时复杂度的定义和计算方法.定义物理意义直观明确,与Lyapunov指数计算相比,方法计算量少,便于实际应用.以Duffing振子为例,通过数值仿真与实验,研究了混沌振荡系统的空时复杂度,实验结果表明空时复杂度可以很好地刻画Duffing振子丰富的动力学特性.
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| 关 键 词： | Duffing振子 相轨迹 相空间 空时复杂度 混沌 |
Spatiotemporal Complexity of Chaotic Oscillatory Systems |
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| RUI Guo-sheng,ZHANG Song,SUN Wen-jun,ZHANG Yang,CUI Wen.Spatiotemporal Complexity of Chaotic Oscillatory Systems[J].Mathematics in Practice and Theory,2011,41(18). |
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| Authors: | RUI Guo-sheng ZHANG Song SUN Wen-jun ZHANG Yang CUI Wen |
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| Institution: | RUI Guo-sheng~1,ZHANG Song~1,SUN Wen-jun~1,ZHANG Yang~1,CUI Wen~2 (1.Signal and Information Processing Provincial Key Laboratory in Shandong,Naval Aeronautical and Astronautical University,Yantai 264001,China) (2.The 96656~(th) Unit of PLA,Beijing 102208,China) |
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| Abstract: | Based on the fact that trajectories which start as neighbors diverge away eventually from each other in exponential fashion,spatiotemporal complexity(STC) was defined for measured the complexity of chaotic oscillatory systems.In comparison with Lyapunov exponent of simulation results,the efficiency and advantages of the proposed measure are obvious. Simulation results show that the STC can effectively character the dynamic behavior of Duffing oscillator. |
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| Keywords: | Duffing oscillator trajectory phase space spatiotemporal complexity chaos |
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