| 时空混沌中的序图样研究 |
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| 引用本文： | 郭晶,王钺,山秀明,任勇.时空混沌中的序图样研究[J].物理学报,2010,59(11):7663-7668. |
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| 作者姓名： | 郭晶 王钺 山秀明 任勇 |
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| 作者单位： | 清华大学电子工程系,北京 100084 |
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| 摘 要： | 通过分段单调映射和线性耦合研究时空混沌中的序图样.理论分析发现,混沌映射的时不变性质导致映射曲线交点减少,为序图样缺失的一个重要原因.证明了线性耦合可以破坏映射的时不变性质,并给出曲线交点增加的条件.分析了耦合系统的映射、耦合系数和耦合次数对序图样的影响,并以实例和仿真实验验证了上述理论结果.
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| 关 键 词： | 时空混沌 序图样 分段单调映射 线性耦合 |
| 收稿时间： | 2009-07-16 |
| 修稿时间： | 3/9/2010 12:00:00 AM |
Order patterns of spatiotemporal chaos |
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| Guo Jing,Wang Yue,Shan Xiu-Ming,Ren Yong.Order patterns of spatiotemporal chaos[J].Acta Physica Sinica,2010,59(11):7663-7668. |
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| Authors: | Guo Jing Wang Yue Shan Xiu-Ming Ren Yong |
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| Institution: | Department of Electric Engineering, Tsinghua University, Beijing 100084, China;Department of Electric Engineering, Tsinghua University, Beijing 100084, China;Department of Electric Engineering, Tsinghua University, Beijing 100084, China;Department of Electric Engineering, Tsinghua University, Beijing 100084, China |
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| Abstract: | Based on piecewise monotone interval maps and linear coupling, we study order patterns of spatiotemporal chaos. The forbidden patterns are found to arise mainly from the reduction of curve intersections due to time invariance of chaotic maps. It is proved that linear couplings may destroy the time invariance, and create the conditions for increasing intersections. We analyze the effects of chaotic map, coupling strength and coupling number order patterns. Simulation results and illustrative examples all confirm the correctness of the theoretical results. |
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| Keywords: | spatiotemporal chaos order pattern piecewise monotone interval maps linear coupling |
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