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11.
点电荷和介质球系统的镜像电荷分布 总被引:2,自引:0,他引:2
用镜像法处理介质中的静电问题,一般书刊上只论及到两种情形:一是两均匀电介质交界面为一无限大平面,在其中一种介质中有一点电荷;二是无限长均匀电介质圆柱置于另一均匀介质之中,在圆柱内或圆柱外有一与其轴线平行的无限长线电荷.在这两种情形中,电势都可以用简单的镜像系表示 相似文献
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Synchronization of time-delay chaotic systems on small-world networks with delayed coupling 下载免费PDF全文
By using the well-known Ikeda model as the node dynamics, this paper
studies synchronization of time-delay systems on small-world
networks where the connections between units involve time delays. It
shows that, in contrast with the undelayed case, networks with
delays can actually synchronize more easily. Specifically, for
randomly distributed delays, time-delayed mutual coupling suppresses
the chaotic behaviour by stabilizing a fixed point that is unstable
for the uncoupled dynamical system. 相似文献
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We have investigated the influence of the average degree
\langle k \rangle of network on the location of an order--disorder
transition in opinion dynamics. For this purpose, a variant of
majority rule (VMR) model is applied to Watts--Strogatz (WS)
small-world networks and Barab\'{a}si--Albert (BA) scale-free
networks which may describe some non-trivial properties of social
systems. Using Monte Carlo simulations, we find that the
order--disorder transition point of the VMR model is greatly
affected by the average degree \langle k \rangle of the networks;
a larger value of \langle k \rangle results in a more ordered state of
the system. Comparing WS networks with BA networks, we find WS
networks have better orderliness than BA networks when the average
degree \langle k \rangle is small. With the increase of \langle k
\rangle, BA networks have a more ordered state. By implementing
finite-size scaling analysis, we also obtain critical exponents
\beta/\nu, \gamma/\nu and 1/\nu for several values of average
degree \langle k \rangle. Our results may be helpful to understand
structural effects on order--disorder phase transition in the
context of the majority rule model. 相似文献
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We report on synchronization between two identical time delay chaotic systems under parameter mismatch. It overcomes some limitations of the previous work where synchronization and antisynchronization has been investigated only in finite-dimensional chaotic systems under parameter mismatch, so we can achieve synchronization and antisynchronization in infinite- dimensional chaotic systems under parameter mismatch, For infinite-dimensional systems modelled by delay differential equations, we find stable synchronization and antisynehronization in long-, moderate- and short-time delay regions, in particular for the hyperchaotic ease. 相似文献
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We study a memory-based Boolean game (MBBG) taking place on a regular ring, wherein each agent acts according to its local optimal states of the last M time steps recorded in memory, and the agents in the minority are rewarded. One free parameter p between 0 and 1 is introduced to denote the strength of the agent willing to make a decision according to its memory. It is found that giving proper willing strength p, the MBBG system can spontaneously evolve to a state of performance better than the random game; while for larger p, the herd behaviour emerges to reduce the system profit. By analysing the dependence of dynamics of the system on the memory capacity M, we find that a higher memory capacity favours the emergence of the better performance state, and effectively restrains the herd behaviour, thus increases the system profit. Considering the high cost of long-time memory, the enhancement of memory capacity for restraining the herd behaviour is also discussed, and M =5 is suggested to be a good choice. 相似文献
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We study the growth of weighted networks with exponential aging of sites. Each new vertex of the network is connected to some old vertices with proportional (i) to the strength of the old vertex and (ii) to e^-αT, where T is the age of the old vertex and α is a positive constant. As soon as the preferential attachment is modified by such factors, the interesting quantities of the produced network (the vertex degree, vertex strength, clustering coefficient and average path length) will be significantly transformed. 相似文献
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We investigate the dynamics of random walks on weighted networks. Assuming that the edge weight and the node strength are used as local information by a random walker. Two kinds of walks, weight-dependent walk and strength-dependent walk, are studied. Exact expressions for stationary distribution and average return time are derived and confirmed by computer simulations. The distribution of average return time and the mean-square displacement are calculated for two walks on the Barrat-Barthelemy-Vespignani (BBV) networks. It is found that a weight-dependent walker can arrive at a new territory more easily than a strength-dependent one. 相似文献