鉴于外部磁场会对神经元放电活动产生影响,本文讨论了具有磁场作用的四变量ML(Morris and Lecar)神经元模型,利用快慢动力学揭示了其簇放电类型及分岔过程,并分析了随磁通反馈系数变化时系统放电行为.同时以三个环状耦合神经元模型为例...鉴于外部磁场会对神经元放电活动产生影响,本文讨论了具有磁场作用的四变量ML(Morris and Lecar)神经元模型,利用快慢动力学揭示了其簇放电类型及分岔过程,并分析了随磁通反馈系数变化时系统放电行为.同时以三个环状耦合神经元模型为例,通过定义同步判断标准——互相关系数和快慢变量的极大同步差,发现耦合神经元在磁场作用下,很小的耦合强度就可使系统从混沌状态转迁到周期放电模式并能诱导神经元完成从互不相关到簇放电同步再到峰放电同步的转迁.且在合适的双参数范围内,适当耦合强度下系统更容易实现同步,有助于理解在适当耦合连接方式下电磁辐射对神经网络集群放电活动的影响及其同步机理.展开更多
In this paper, two different ring networks with unidirectional couplings and with bidirectional couplings were discussed by theoretical analysis. It was found that the effects on synchronizing ability of the two diffe...In this paper, two different ring networks with unidirectional couplings and with bidirectional couplings were discussed by theoretical analysis. It was found that the effects on synchronizing ability of the two different structures by cutting a link are completely opposite. The synchronizing ability will decrease if the change is from bidirectional ring to bidirectional chain. Moreover, the change on synchronizing ability will be four times if the number of N is large enough. However, it will increase obviously from unidirectional ring to unidirectional chain. It will be N^2/（π^2） times if the number of N is large enough. The numerical simulations confirm the conclusion in quality. This paper also discusses the effects on synchronization by adding one link with different length d to these two different structures. It can be seen that the effects are different. Theoretical results are accordant to numerical simulations. Synchronization is an essential physics problem. These results proposed in this paper have some important reference meanings on the real world networks, such as the bioecological system networks, the designing of the circuit, etc.展开更多
The round-beam operation presents many benefits for scientific experiments regarding synchrotron radiation and the weak-ening influences of intra-beam scattering in diffraction-limited synchrotron light sources.A roun...The round-beam operation presents many benefits for scientific experiments regarding synchrotron radiation and the weak-ening influences of intra-beam scattering in diffraction-limited synchrotron light sources.A round-beam generation method based on the global setting of skew quadrupoles and the application of a non-dominated sorting genetic algorithm was pro-posed in this study.Two schemes,including large-emittance coupling introduced via betatron coupling and vertical disper-sion,were explored in a candidate lattice for an upgrade-proposal of the Shanghai synchrotron radiation facility.Emittance variations with lattice imperfections and their influence on the beam dynamics of beam optic distortions were investigated.The results demonstrated that a precise coupling control ranging from 10 to 100%was achieved under low optical distortion,whereas full-coupling generation and its robustness were achieved by our proposed method by adjusting the skew quadrupole components located in the dispersion-free sections.The Touschek lifetime increased by a factor of 2–2.5.展开更多
文摘鉴于外部磁场会对神经元放电活动产生影响,本文讨论了具有磁场作用的四变量ML(Morris and Lecar)神经元模型,利用快慢动力学揭示了其簇放电类型及分岔过程,并分析了随磁通反馈系数变化时系统放电行为.同时以三个环状耦合神经元模型为例,通过定义同步判断标准——互相关系数和快慢变量的极大同步差,发现耦合神经元在磁场作用下,很小的耦合强度就可使系统从混沌状态转迁到周期放电模式并能诱导神经元完成从互不相关到簇放电同步再到峰放电同步的转迁.且在合适的双参数范围内,适当耦合强度下系统更容易实现同步,有助于理解在适当耦合连接方式下电磁辐射对神经网络集群放电活动的影响及其同步机理.
基金the National Basic Research 973 Program of China (Grant No. 2006CB708302)the National Natural Science Foundation of China (Grant Nos. 60574045 and 90604005)
文摘In this paper, two different ring networks with unidirectional couplings and with bidirectional couplings were discussed by theoretical analysis. It was found that the effects on synchronizing ability of the two different structures by cutting a link are completely opposite. The synchronizing ability will decrease if the change is from bidirectional ring to bidirectional chain. Moreover, the change on synchronizing ability will be four times if the number of N is large enough. However, it will increase obviously from unidirectional ring to unidirectional chain. It will be N^2/（π^2） times if the number of N is large enough. The numerical simulations confirm the conclusion in quality. This paper also discusses the effects on synchronization by adding one link with different length d to these two different structures. It can be seen that the effects are different. Theoretical results are accordant to numerical simulations. Synchronization is an essential physics problem. These results proposed in this paper have some important reference meanings on the real world networks, such as the bioecological system networks, the designing of the circuit, etc.
文摘The round-beam operation presents many benefits for scientific experiments regarding synchrotron radiation and the weak-ening influences of intra-beam scattering in diffraction-limited synchrotron light sources.A round-beam generation method based on the global setting of skew quadrupoles and the application of a non-dominated sorting genetic algorithm was pro-posed in this study.Two schemes,including large-emittance coupling introduced via betatron coupling and vertical disper-sion,were explored in a candidate lattice for an upgrade-proposal of the Shanghai synchrotron radiation facility.Emittance variations with lattice imperfections and their influence on the beam dynamics of beam optic distortions were investigated.The results demonstrated that a precise coupling control ranging from 10 to 100%was achieved under low optical distortion,whereas full-coupling generation and its robustness were achieved by our proposed method by adjusting the skew quadrupole components located in the dispersion-free sections.The Touschek lifetime increased by a factor of 2–2.5.
