共查询到20条相似文献,搜索用时 15 毫秒
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研究空间单位区域内两个二次曲面映射构成的函数的混沌特性, 发现了一种构造混沌的方法. 当一个曲面是单位区域内标准曲面, 另一个曲面随机生成时, 此函数是混沌的概率可以大于十分之一, 说明在满足一定条件时, 混沌是极其普遍的. 通过计算Lyapunov指数以及绘制分岔图等对该类函数的混沌特性进行分析, 根据参数变化的分岔图以及混沌曲面控制点的区域分布特性等寻找混沌映射函数, 得到了大量的二维混沌吸引子图形, 并对其中三个进行了详细研究. 另外, 把灰度图像作为离散二维函数, 首次研究了图像作为迭代表达式时表现出的一些混沌特性. 研究发现, 相同的或者相近的图像易于收敛到周期点上, 这个结果可以用于图像识别等研究领域.
关键词:
混沌
迭代
图像 相似文献
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粒子在 Hénon-Heiles势中的逃逸动力学模拟 总被引:1,自引:1,他引:0
利用庞加莱截面和相空间轨迹方法对粒子在Hénon-Heiles势中的逃逸动力学进行了模拟.粒子的动力学性质敏感地依赖于粒子的能量.数值计算表明当能量很小时,粒子的运动是规则的;随着能量的增加,粒子的运动开始出现混沌.当能量增加到鞍点能Es时,几乎所有的相空间轨迹都是混沌的.当粒子的能量E>Es,粒子可以越过势阱发生逃逸.对于给定的大于Es的能量, 我们画出了粒子的逃逸-时间曲线和逃逸轨迹.我们的研究对于研究混沌传输和逃逸动力学具有一定的参考价值. 相似文献
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The chaotic classical single-particle motion in an oblate octupole deformed potential with a non-zero z-component of angular momentum Lz is investigated. The stability analysis of the trajectories shows that with increasing rotation of the system, the unstable negative curvature regions of the effective potential surface decrease, which converts the chaotic motion of the system into a regular one. 相似文献
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The chaotic classical single-particle motion in an oblate octupole deformed potential with a nonzero z-component of angular momentum Lz is investigated. The stability analysis of the trajectories shows that with increasing rotation of the system, the unstable negative curvature regions of the effective potential surface decrease, which converts the chaotic motion of the system into a regular one. 相似文献
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《Physics letters. A》1997,235(2):153-158
This paper shows how a periodic parametric modulation can inhibit chaotic escape of a driven oscillator from the cubic potential well that typically models a metastable system close to a fold. Melnikov analysis shows that, depending on its amplitude, period, and initial phase, a periodic parametric modulation of the linear potential term suppresses chaotic escape when certain resonance conditions are met. In particular, it is shown that chaotic escape suppression is impossible under a period-1 parametric perturbation. The effect of nonlinear damping on the inhibition scenario is also studied. 相似文献
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Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States
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Coherent states of two dimensional asymmetrical harmonic oscillator, which prop- agate in additional octupole deformation potentials, are used to investigate the characteristics of expectation values and uncertainty measures of canonical variables in space-temporal varia- tions.The quantum chaotic system shows varying behaviors as the corresponding classical chaotic system does. Thus the characteristics of quantum chaos are associated with the geom- atric symmetry of the potential surface, specifically, the existence of the negative curvature and the magnitude of the curvature in the potential surface. 相似文献
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Periodic and chaotic oscillations were observed for the potential of p-type Si(111) immersed in an aqueous (HF+CuSO(4)) solution, accompanied by electroless Cu deposition on p-Si. They were, to our knowledge, the first examples of open-circuit potential oscillations observed for semiconductor electrodes. The oscillations appeared only when the Cu deposit formed a continuous porous film composed of mutually connected submicrometer-sized particles. Besides, the Si surface was kept flat within the size less than 50 nm even after the prolonged oscillation for a few hours, though the Si surface should be etched considerably with HF for this time. A plausible model is proposed for the periodic oscillation, in which interestingly coupling of autocatalytic shift in the flat-band potential of Si (U(fb)) caused by the change in the coverage of the Si oxide and the connection and disconnection of the Cu film with the Si surface plays the key role. The appearance of the chaotic oscillation is also explained by taking into account an oscillation-coupled change in the HF or Cu(2+) concentration near the Si surface. 相似文献
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在自然界中长的变形核数目多于扁的变形核数目, 这一事实发现与核子的混沌运动有关. 经典理论的初步研究表明, 粒子在扁椭球加八极形变场中比在长椭球加八极形变场中的运动能在更小的形变参数下产生混沌运动, 原因是前者的势能面能在更小的形变参数下出现负曲率. 相似文献
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针对异结构不同维分数阶混沌系统的广义同步问题进行研究, 设计了一种将滑模变结构理论和自适应控制理论相结合的方法.通过设计一种对外界干扰具有强鲁棒性的分数阶滑模面, 以及构造合适的自适应滑模控制器, 该控制器将系统的运动控制到滑模面上, 使系统轨道沿滑动模运动到所需的控制状态, 最终实现了两个不同维异结构混沌系统之间的广义同步.以四维超混沌Chen系统和三维Chen混沌系统为例, 对这两个系统分别进行升维和降维的同步仿真. 仿真模拟结果表明, 运用本文设计的控制器, 经过短暂的时间, 两系统的广义误差变量始终平稳地趋于零, 即证明了这种控制器的有效性.
关键词:
分数阶混沌系统
异结构
自适应滑模控制
混沌同步 相似文献
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By using the generalized cell mapping digraph (GCMD)method,we study bifurcations governing the escape of periodically forced oscillators in a potential well,in which a chaotic saddle plays an extremely important role.Int this paper,we find the chaotic saddle,and we demonstrate that the chaotic saddle is embedded in a strange fractal boundary which has the Wada property,that any point on the boundary of that basin is also simultaneously on the boundary of at least two other basins.The chaotic saddle in the Wada fractal boundary,by colliding with a chaotic attractor,leads to a chaotic boundary crisis with a global indeterminate outcome which presents an extreme form of indeterminacy in a dynamical system.We also investigate the origin and evolution of the chaotic saddle in the Wada fractal boundary particularly concentrating on its discontinuous bifurcations(metamorphoses),We demonstrate that the chaotic saddle in the Wada fractal boundary is created by the collision between two chaotic saddles in different fractal boundaries.After a final escape bifurcation,there only exists the attractor at infinity;a chaotic saddle with a beautiful pattern is left behind in phase space. 相似文献
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为了保持神经网络在优化计算求解过程中结构不被改变, 以迟滞混沌神经元和迟滞混沌神经网络为研究对象, 提出了一种基于滤波跟踪误差的控制策略来实现神经元/网络的稳定控制. 采用该控制策略, 在不改变非线性特性发生机理的情况下, 神经元/网络可实现函数优化计算问题的求解. 所设计的控制律包含两部分: 一部分是系统进入滤波跟踪误差面时的等效控制部分, 另一部分为确保系统快速进入滤波跟踪误差面的控制部分. 采用Lyapunov方法对神经元/网络的控制进行了稳定性证明. 根据待寻优函数直接求得神经元的控制律, 在该控制律的作用下, 神经元/网络可逐渐稳定到优化函数的极值点, 从而实现优化问题的求解, 仿真实验结果验证了该控制方法在优化计算中的可行性和有效性. 相似文献
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P. Zieliński Z. Lodziana T. Srokowski 《The European Physical Journal B - Condensed Matter and Complex Systems》1999,9(3):525-532
The effective equations of motion for a surface atom in an anharmonic surface potential have been derived for dispersionless
one-dimensional substrates. The system is equivalent to a non-linear damped oscillator (Duffing oscillator) with the forcing
term depending on the form of the incident wave. Efficiency of harmonics generation, phonon reflection coefficients, effective
local density of states, regions of chaotic motion and windows of periodic motion have been comparatively evaluated for the
system subject to an oscillating external force and to the irradiation by a monochromatic phonon coming from the bulk. Comparison
of the resonant desorption of the surface atom within a given time interval has been made for the same example of anharmonic
surface potential in both types of perturbation.
Received 9 November 1998 相似文献
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运用Silnikov定理构建一个具有共存吸引子且个数可调的混沌系统.首先在经典混沌系统基础上构建一个结构简单的混沌系统,分析系统的动力学特性,验证系统马蹄意义下的混沌特性.在此基础上,将多零点分段函数引入该系统,以扩展系统平衡点的方式来增加系统的不变集,进而建立具有共存吸引子个数可调的混沌系统,由于共存吸引子的复杂性,... 相似文献
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V.A. Krysko J. Awrejcewicz I.E. Kutepov N.A. Zagniboroda I.V. Papkova A.V. Serebryakov A.V. Krysko 《Physics letters. A》2013,377(34-36):2058-2061
The Euler–Bernoulli kinematic model as well as the von Kármán geometric non-linearity are used to derive the PDEs governing flexible beam vibrations. The beam is embedded into a 2D temperature field, and its surface is subjected to action of the electric potential. We report how an increase of the exciting load amplitude yields the beam turbulent behavior, and how the temperature changes a scenario from a regular/laminar to spatio-temporal/turbulent dynamics. Both classical Fourier analysis and Morlet wavelets are used to monitor a strong influence of temperature on regular and chaotic beam dynamics. 相似文献
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Influence of side modes on the performance of optical chaotic communication systems is studied theoretically. Three coding techniques, namely chaotic modulation, chaotic masking and chaotic shift keying, are also considered in the investigation. It can be shown that communication system using chaotic shift keying has better immunity to side mode. On the other hand, frequency division multiplexing using multimode vertical cavity surface emitting laser is proposed to double the transmission capacity of the communication system. 相似文献