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61.
Development and transition of spiral wave in the coupled Hindmarsh--Rose neurons in two-dimensional space 总被引:1,自引:0,他引:1 下载免费PDF全文
The dynamics and the transition of spiral waves in the coupled
Hindmarsh--Rose (H--R) neurons in two-dimensional space are
investigated in the paper. It is found that the spiral wave can be
induced and developed in the coupled HR neurons in two-dimensional
space, with appropriate initial values and a parameter region given.
However, the spiral wave could encounter instability when the
intensity of the external current reaches a threshold value of
1.945. The transition of spiral wave is found to be affected by
coupling intensity D and bifurcation parameter r. The spiral
wave becomes sparse as the coupling intensity increases, while the
spiral wave is eliminated and the whole neuronal system becomes
homogeneous as the bifurcation parameter increases to a certain
threshold value. Then the coupling action of the four sub-adjacent
neurons, which is described by coupling coefficient D’, is also
considered, and it is found that the spiral wave begins to breakup
due to the introduced coupling action from the sub-adjacent neurons
(or sites) and together with the coupling action of the
nearest-neighbour neurons, which is described by the coupling
intensity D. 相似文献
62.
Introduction ThestudiesofexcitablemediaconcernwithBZreaction,slimemoldaggregationand cardiactissue[1].Thepropertiesofthesemediaare:forsmallperturbationsthemediaquickly recovertotheirreststates,whileforstimuliexceedingathresholdthemediawillbeactivated andr… 相似文献
63.
LIUYu-Fang WUYan-Ning XUHou-Ju SUNJin-Feng 《理论物理通讯》2004,42(4):637-640
Spiral waves are ubiquitous phenomena in nonlinear chemical, physical, and biological systems. But antispiral waves are infrequent to date. The transition between spiral and antispiral waves has been rarely explored. We have analyzed the extended Brusselator model and the extended Oregonator model by linear stability analysis. We have demonstrated that it is possible and plausible to realize the transition between them by control of diffusion coefficient of inactivator from theoretical analysis and numerical simulations. 相似文献
64.
IntroductionPurgingresidualliquidinaU_shapedpipelineischallengeforchemicalandtransportationindustry[1].Manytechniqueshavebeenemployedtopurgeoutresidualwater[2 ],butnonehavebeencompletelysatisfactory .Onepossiblemethodfordoingthishasbeentoblowagreatquantit… 相似文献
65.
66.
In this paper,various waves in the Oregonator model are investigated in detail.The existence of planar waves(in particular,spiral waves)is rigorously proven and their linear stability is analysed.In addition,some non-planar waves in the model are also presented. 相似文献
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本文利用JGYW-2型双单摆振动示波装置研究和探讨了两个相互垂直方向同频率欠阻尼振动的合成和两个同方向频率相近的欠阻尼振动的合成.通过实验观察和理论分析,得到了欠阻尼振动合成的部分图形和表达式,揭示了等角螺线的物理意义. 相似文献
70.
Several spiral groove gas film face seals (SGFS) with different layouts are compared quantitatively to analyze their merits and faults and application behaviors. In addition, a parametric study on downstream mode SGFS is conducted to determine its optimal parameters under certain working conditions. In the computation of gas film pressure on the face, finite element method (FEM) is applied to adapt to complicated geometrical boundary. 相似文献