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The domain size of spiral waves is an important issue in
studies of two-dimensional (2D) spatiotemporal patterns. In this
work, we use the 2D complex Ginzburg--Landau equation (CGLE) as our
model and find that an initially big spiral can successfully
transfer to several small spirals by applying a pulse array
method. The impacts of several important factors, such as array
density, controlling intensity and pulsing time, are investigated.
This control approach may be useful for the control of 2D
spatiotemporal patterns and has potential applications in the
control of some realistic systems, such as meteorological and
cardiac systems. 相似文献
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采用FitzHugh-Nagumo方程,研究了二维时空系统中螺旋波的控制问题,利用相空间压缩方法对部分系统变量的振幅进行限制从而影响螺旋波的稳定性.研究表明,控制过程可分为三个不同的阶段:在较小压缩限条件下螺旋波可以被完全消除,系统进入均匀定态;在较大的压缩限条件下螺旋波能够稳定存在,而且其振荡频率不随控制参数的改变而发生变化;当压缩限介于上述两者之间时,系统表现为时空混沌态.对上述控制过程进行了进一步的讨论,研究了不同控制参数条件下的系统斑图、变量的演化、相空间轨道等性质,并且对振幅函数和振荡频率特征进
关键词:
螺旋波
相空间压缩
FitzHugh-Nagumo方程 相似文献
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The synchronisation of spiral patterns in a drive-response Rssler system is studied.The existence of three types of synchronisation is revealed by inspecting the coupling parameter space.Two transient stages of phase synchronisation and partial synchronisation are observed in a comparatively weak feedback coupling parameter regime,whilst complete synchronisation of spirals is found with strong negative couplings.Detailed observations of the synchronous process,such as oscillatory frequencies,parameters mismatches and amplitude variations,etc,are investigated via numerical simulations. 相似文献
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The synchronisation of spiral patterns in a drive-response R6ssler system is studied. The existence of three types of synchronisation is revealed by inspecting the coupling parameter space. Two transient stages of phase synchronisation and partial synchronisation are observed in a comparatively weak feedback coupling parameter regime, whilst complete synchronisation of spirals is found with strong negative couplings. Detailed observations of the synchronous process, such as oscillatory frequencies, parameters mismatches and amplitude variations, etc, are investigated via numerical simulations. 相似文献
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电压模式控制boost变换器能产生多种分岔形式,对其分岔中的一类重要的切分岔现象进行了详细研究. 首先根据系统的一次离散迭代映射推导出其三次离散迭代映射模型,基于非线性系统理论中的切分岔定理, 从数学上推导出此类变换器产生切分岔现象的条件,并通过数值仿真研究了电路参数对这类变换器切分岔现象的影响.研究结果表明:当系统的反馈系数处在一定范围内时,该类变换器会出现切分岔和阵发混沌现象. 最后通过实验研究boost变换器中存在的这类不稳定非线性现象,验证了理论分析和数值仿真的正确性. 相似文献
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The wave propagation in the one-dimensional complex Ginzburg-Landau equation (CGLE) is studied by considering a wave source at the system boundary. A special propagation region, which is an island-shaped zone surrounded by the defect turbulence in the system parameter space, is observed in our numerical experiment. The wave signal spreads in the whole space with a novel amplitude wave pattern in the area. The relevant factors of the pattern formation, such as the wave speed, the maximum propagating distance and the oscillatory frequency, are studied in detail. The stability and the generality of the region are testified by adopting various initial conditions. This finding of the amplitude pattern extends the wave propagation region in the parameter space and presents a new signal transmission mode, and is therefore expected to be of much importance. 相似文献
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采用脉冲激光沉积(PLD)的方法在石英基片上制备了不同氧分压(0,0.05,0.15和0.20 Pa)下Zn0.97Cr0.03O薄膜,并测量了它们的磁性、XRD谱、PL谱及XPS谱等.实验结果表明,所有的样品都具有良好的结晶性,且都沿c轴高度取向;磁测量结果表明,四个样品都具有铁磁性,且在氧压为0.15 Pa下沉积的薄膜磁性最强;四个样品都存在VZn,Oi,Zni,VZn,VO缺陷,尤其是VZn对应共振峰面积占所有缺陷总面积的百分比和样品的饱和磁化强度具有相同的变化趋势,表明Zn0.97Cr0.03O磁性与锌空位密切相关;四个样品中都存在Cr3+离子,且在0.15 Pa时Cr3+的含量最多.上述实验结果表明,Cr3+和VZn的缺陷复合体是ZnO:Cr样品具有稳定的铁磁有序的最有利条件,它证实了早先的基于第一性原理的计算结果. 相似文献