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本文以若干经典的浑沌系统为背景,详细地介绍和分析了浑沌系统从简单的运动形式如周期运动等演变成复杂的浑沌运动的三种主要模式,即周期倍分叉、概周期、周期间歇,等模式。综述了大多数现有的研究方法和主要结果并就其它的可能模式和有待解决的问题作了简略的说明. 相似文献
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噪音对光学图象浑沌相位列阵加密和解密的影响 总被引:1,自引:0,他引:1
本文提出了一种用浑沌相位列阵对光学图象加密和解密的方法,并重点分析了加法高斯白噪音对光学图象浑沌相位列阵加密和解密的影响.通过计算机模拟发现加密后的图象与原图象相比,抗振幅噪音的能力增强,而抗相位噪音的能力下降.在一定信噪比范围内,相位噪音是影响解密图象质量的主要因素. 相似文献
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Physical mechanism of the chaotic detection of the unknown frequency of weak harmonic signal and effects of damping ratio on the detection results 总被引:3,自引:0,他引:3 下载免费PDF全文
In the zero-order approximation, we use the perturbation method of parameter with small magnitude to prove that the harmonic frequency in the solution of the equation is close to that of the driving force when the chaotic system from Duffing-Holmes equation stays in the stable periodic state, which is the physical mechanism of the detection of the unknown frequency of weak harmonic signal using the chaotic theory. The result of the simulation experiment shows that the method proposed in this paper, by which one can determine the frequency of the stable system from the number of circulation change of the phase state directionally across a fixed phase state point (x,\dot{x}) in fixed simulation time period, is successful. Analyzing the effects of the damping ratio on the chaotic detection result, one can see that for different frequency ranges it is necessary to carefully choose corresponding damping ratio α. 相似文献
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By employing an inverse-scattering transformation, the exact solution of an N-soliton train in the spin chain with a time-dependent magnetic field is derived. As a special case the one-soliton solution (N = 1) exhibits explicitly the spin precession around the magnetic field and periodic shape-variation induced by the time varying field as well. In terms of the general solution, inelastic two-soliton collision is analysed. The inelastic collision, by which we mean the soliton shape-change before and after collision, appears generally due to the time varying field. 相似文献
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代换序列,强诣零性质与混沌 总被引:4,自引:0,他引:4
本文的第一部分利用Morse序列研究并解决了一个代数问题,在第二部分中研究了Sturmian系统的动力学性质,指出该系统不存在Li-York意义下的混沌集。 相似文献
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