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1.
The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2:1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation. 相似文献
2.
We investigate the effects of intrinsic noise on Turing pattern formation near the onset of bifurcation from the homogeneous state to Turing pattern in the reaction-diffusion Brusselator. By performing stochastic simulations of the master equation and using Gillespie's algorithm, we check the spatiotemporal behaviour influenced by internal noises. We demonstrate that the patterns of occurrence frequency for the reaction and diffusion pro- cesses are also spatially ordered and temporally stable. Turing patterns are found to be robust against intrinsic fluctuations. Sfochastic simulations also reveal that under the influence of intrinsic noises, the onset of Turing instability is advanced in comparison to that predicted deterministically. 相似文献
3.
We report a continuous transition from outwardly rotating spiral waves to antispirals in the complex GinzburgLandau equation. Numerical simulations demonstrate that the normal spiral to antispiral transition is fulfilled through a rest spiral wave with zero propagation speed. The propagation direction of spiral waves and the power law behaviour close to the transition boundary are examined. 相似文献
4.
用系综模拟方法研究了化学Lorenz模型中混沌的介观动力学. 通过对主方程的随机模拟, 分析了盒频率(bin frequency)以及涨落和协方差在不同参数区的时间演化行为. 系综模拟分析在比通常宏观方程描述更为基本的层次上, 展示了确定性混沌的介观动力学图景. 对主方程也用累积展开法进行了分析. 相似文献
5.
<正>幼儿期的孩子好奇、好玩、好动,而且精力总是比较旺盛。他们不喜欢单调枯燥的训练,只有趣味的教学形式才能吸引和激发积极参与、主动学习的兴趣。我带的是小班,孩子年龄都在4岁左右,注意力特 相似文献
6.
提出低能带电粒子辐照下石英玻璃非弹性电离损伤的物理模型和速率方程,给出了电离效应产生带电离子、电子浓度的解析表达式.讨论了光密度与吸收剂量之间的变化关系,并与实验结果进行了比较.还给出光学反射镜反射率表达式及数学模拟结果.利用所建立的模型,可以定量描述低能带电粒子辐照特别是综合辐照时石英玻璃和镀金属膜反射镜光学性能随辐照剂量的变化情况.
关键词:
电离损伤
综合辐照
石英玻璃
光密度 相似文献
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8.
We report stochastic simulations of the yeast mating signal
transduction pathway. The effects of intrinsic and external noise,
the influence of cell-to-cell difference in the pathway capacity,
and noise propagation in the pathway have been examined. The
stochastic temporal behaviour of the pathway is found to be robust
to the influence of inherent fluctuations, and intrinsic noise
propagates in the pathway in a uniform pattern when the yeasts are
treated with pheromones of different stimulus strengths and of varied
fluctuations. In agreement with recent experimental findings,
extrinsic noise is found to play a more prominent role than
intrinsic noise in the variability of proteins. The occurrence
frequency for the reactions in the pathway are also examined and a
more compact network is obtained by dropping most of the reactions
of least occurrence. 相似文献
9.
化学混沌主方程的随机模拟 总被引:1,自引:1,他引:0
在分子运动层次上,研究大量粒子的无序运动如何导致宏观上的集体行为已有很长的历史.在宏观层面上,耗散过程一般用一组唯象常微分或偏微分方程描述.虽然从微观上对无序的分子运动的描述在物理上更为基本,但是宏观上的唯象描述数学处理则更加方便.实际上,探讨诸如耗... 相似文献
10.
The periodically forced spatially extended Brusselator is investigated in the chaotic regime. We explore resonant or non-resonant patterns generated under various forcing frequencies and forcing amplitudes. Resonant spatially uniform oscillation and irregular structures are found. Furthermore two types of regular spatial patterns are generated under appropriate parameters. Our results of numerical simulations demonstrate that periodic force can give rise to resonant patterns in forced systems of spatiotemporal chaos similar to the situation of forced systems of regular oscillations. 相似文献