排序方式: 共有29条查询结果,搜索用时 15 毫秒
21.
We investigate responses of the Hodgkin-Huxley globally neuronal systems to periodic spike-train inputs. The firing activities of the neuronal networks show different rhythmic patterns for different parameters. These rhyth- mic patterns can be used to explain cycles of firing in real brain. These activity patterns, average activity and coherence measure are affected by two quantities such as the percentage of excitatory couplings and stimulus intensity, in which the percentage of excitatory couplings is more important than stimulus intensity since the transition phenomenon of average activity comes about. 相似文献
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23.
This paper studies consensus problems in weighted scale-free
networks of asymmetrically coupled dynamical units, where the
asymmetry in a given link is determined by the relative degree of
the involved nodes. It shows that the asymmetry of interactions has
a great effect on the consensus. Especially, when the interactions
are dominant from higher- to lower-degree nodes, both the
convergence speed and the robustness to communication delay are
enhanced. 相似文献
24.
Evolutionary snowdrift game with disordered environments in mobile societies 总被引:1,自引:0,他引:1 下载免费PDF全文
We investigate an evolutionary snowdrift game on a square $N=L\times
L$ lattice with periodic boundary conditions, where a population of
$n_{0}$ ($n_{0}\leq N$) players located on the sites of this lattice
can either cooperate with or defect from their nearest neighbours.
After each generation, every player moves with a certain probability
$p$ to one of the player's nearest empty sites. It is shown that,
when $p=0$, the cooperative behaviour can be enhanced in disordered
structures. When $p>0$, the effect of mobility on cooperation
remarkably depends on the payoff parameter $r$ and the density of
individuals $\rho$ ($\rho=n_{0}/N$). Compared with the results of
$p=0$, for small $r$, the persistence of cooperation is enhanced at
not too small values of $\rho$; whereas for large $r$, the
introduction of mobility inhibits the emergence of cooperation at any
$\rho<1$; for the intermediate value of $r$, the cooperative
behaviour is sometimes enhanced and sometimes inhibited, depending on
the values of $p$ and $\rho$. In particular, the cooperator density
can reach its maximum when the values of $p$ and $\rho$ reach their
respective optimal values. In addition, two absorbing states of all
cooperators and all defectors can emerge respectively for small and
large $r$ in the case of $p>0$. 相似文献
25.
A nonchaotic attractor is observed in an infinite-dimensional system which is related to optical bistability and described by a nonlinear time-delay differential equation. The observed nonchaotic attractor is characterized by the strange trajectory of attractor but with negative value for the largest Lyapunov exponent, as well as the Fourier power spectra. 相似文献
26.
The collective synchronization of a system of coupled logistic maps on random community networks is investigated. It is found that the synchronizability of the community network is affected by two factors when the size of the network and the number of connections are fixed. One is the number of communities denoted by the parameter rn, and the other is the ratio σ of the connection probability p of each pair of nodes within each community to the connection probability q of each pair of nodes among different communities. Theoretical analysis and numerical results indicate that larger rn and smaller σ are the key to the enhancement of network synchronizability. We also testify synchronous properties of the system by analysing the largest Lyapunov exponents of the system. 相似文献
27.
利用同伦分析法求解了(2+1)维改进的 Zakharov-Kuznetsov方程, 得到了它的近似周期解,该解与精确解符合很好. 结果表明,同伦分析法在求解高维非线性演化方程时, 仍然是一种行之有效的方法. 同时,还对该方法进行了一定的扩展, 经过扩展后的方法能够更方便地求解更多非线性演化方程的高精度近似解析解.
关键词:
同伦分析法
改进的 Zakharov-Kuznetsov方程
周期解 相似文献
28.
We investigate different types of synchronization between two unidirectionally nonlinearly coupled identical delay- differential systems related to optical bistable or hybrid optical bistable devices. This system can represent some kinds of delay-differential models, i.e. Ikeda model, Vall~e model, sine-square model, Mackey Glass model, and so on. We find existence and sufficient stability conditions by theoretical analysis and test the correctness by" numerical simulations. Lag, complete and anticipating synchronization are observed, respectively. It is found that the time-delay system can be divided into two parts~ one is the instant term and the other is the delay term. Synchronization between two identical chaotic systems can be derived by adding a coupled term to the delay term in the driven system. 相似文献
29.