| 同步与圆圆映射 |
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| 引用本文： | 周士谔,霍中生. 同步与圆圆映射[J]. 电子科技大学学报(社会科学版), 1987, 0(2) |
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| 作者姓名： | 周士谔 霍中生 |
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| 摘 要： | 当一个生成三角波的回路同步失稳时,利用李亚普诺夫函数可以很容易证明系统实际上处于混沌态。对应于不同触发信号周期的混沌区宽度的实验数据与用计算机打出的相应图形作了比较。系统也可以用所谓“圆圆映射” 即一维自身分立圆映射来分析,分析表明,当波形改变时,对应于不同参数时的同步失稳电路可以分别具有周期、准周期和混沌解。
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| 关 键 词： | 同步 系统 李亚普谆夫函数 实验数据 圆圆映射 混沌解 三角波 失稳 |
SYNCHRONIZATION AND CIRCLE MAPS |
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| Zhou Shi-e Huo Zhongsheng. SYNCHRONIZATION AND CIRCLE MAPS[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 1987, 0(2) |
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| Authors: | Zhou Shi-e Huo Zhongsheng |
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| Affiliation: | Zhou Shi-e Huo Zhongsheng |
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| Abstract: | Using the Lyapunov exponent, writers can simply show the chaotic behavior when a circuit oscillating in triangular waveform is off synchronization. The experiment of measuring the widths of the chaotic region with different values of the friggering pulse period is com pared with the diagram drawn by a com puter. The system can also be described by one-dimensional discret maps of the circle onto itself, the so-called "circle maps" , it is shown that as the waveform changes, the off synchronous circuit may have periodic, quasi-periodic, as well as chaotic solutions according to the different parameters of the system. |
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| Keywords: | synchronization system Lyapunov function experimental data circle maps chaotic solutions triangular waveform off synchronization |
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