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1.
Prisoner's Dilemma Game with Heterogeneous Influential Effect on Regular Small-World Networks 下载免费PDF全文
The effect of heterogeneous influence of different individuals on the maintenance of co-operative behaviour is studied in an evolutionary Prisoner's Dilemma game with players located on the sites of regular small-world networks. The players interacting with their neighbours can either co-operate or defect and update their states by choosing one of the neighbours and adopting its strategy with a probability depending on the pay off difference. The selection of the neighbour obeys a preferential rule: the more influential a neighbour, the larger the probability it is picked. It is found that this simple preferential selection rule can promote continuously the co-operation of the whole population with the strengthening of the disorder of the underlying network. 相似文献
2.
We investigate a spatial Prisoner's Dilemma game with nonlinear attractive effect on regular small-world networks. The players located on the sites of networks can either cooperate with their neighbours or defect. In every generation, each player updates its strategy by firstly choosing one of the neighbours with a probability proportional to .A^α denoting the attractiveness of the neighbour, where .4 is the collected payoff and ^α (-〉0) is a free parameter characterizing the extent of nonlinear effect. Then each player adopts its strategy with a probability dependent on their payoff difference. Using Monte Carlo simulations, we investigate the density pc of cooperators in the stationary state for various values of α and the rewiring probability q of the network. It is shown that the introduction of such attractive effect remarkably promotes the emergence and persistence of cooperation over a wide range of the temptation to defect for the same network structures. We also point out that long-range connections either enhance or inhibit the cooperation, which depends on the value of α and the payoff parameter b. 相似文献
3.
We investigate the collection behaviour of coupled phase oscillators on Newman-Watts small-world networks in one and two dimensions. Each component of the network is assumed as an oscillator and each interacts with the others following the Kuramoto model We then study the onset of global synchronization of phases and frequencies based on dynamic simulations and finite-size scaling. Both the phase and frequency synchronization are observed to emerge in the presence of a tiny fraction of shortcuts and enhanced with the increases of nearest neighbours and lattice dimensions. 相似文献
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In this paper multiple delay feedback control (MDFC) with different
and independent delay times is shown to be an efficient method for
stabilizing fixed points in finite-dimensional dynamical systems.
Whether MDFC can be applied to infinite-dimensional systems has been
an open question. In this paper we find that for infinite-dimensional
systems modelled by delay differential equations, MDFC works well for
stabilizing (unstable) steady states in long-, moderate- and
short-time delay regions, in particular for the hyperchaotic case. 相似文献
6.
For the first time, we report on projective synchronization between two time delay chaotic systems with single time delays. It overcomes some limitations of the previous work, where projective synchronization has been investigated only in finite-dimensional chaotic systems, so we can achieve projective synchronization in infinitedimensional chaotic systems. We give a general method with which we can achieve projective synchronization in time-delayed chaotic systems. The method is illustrated using the famous delay-differential equations related to optical bistability. Numerical simulations fully support the analytical approach. 相似文献
7.
Phase Locking Phenomena and Electroencephalogram-Like Activities in Dynamic Neuronal Systems 下载免费PDF全文
We study signal detection and transduction of dynamic neuronal systems under the influence of external noise,white and coloured. Based on simulations, we show explicitly phase locking phenomena between the output and the input of a single neuron and Electroencephalogram-like activities on neural networks with small-world connectivity. The numerical results prove that the dynamic neuronal system can be adjusted to an optimal sensitive state for signal processing in the presence of additive noise. 相似文献
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In this paper,we propose a method for the projective synchronization between two different chaotic systems with variable time delays.Using active control approach,the suitable controller is constructed to make the states of two different diverse time delayed systems asymptotically synchronize up to the desired scaling factor.Based on the Lyapunov stability theory,the sufficient condition for the projective synchronization is calculated theoretically.Numerical simulations of the projective synchronization between Mackey-Glass system and Ikeda system with variable time delays are shown to validate the effectiveness of the proposed algorithm. 相似文献
10.
Cooperation influenced by the correlation degree of two-layered complex networks in evolutionary prisoner’s dilemma games 下载免费PDF全文
An evolutionary prisoner's dilemma game is investigated on
two-layered complex networks respectively representing interaction
and learning networks in one and two dimensions. A parameter q is
introduced to denote the correlation degree between the two-layered
networks. Using Monte Carlo simulations we studied the effects of
the correlation degree on cooperative behaviour and found that the
cooperator density nontrivially changes with q for different
payoff parameter values depending on the detailed strategy updating
and network dimension. An explanation for the obtained results is
provided. 相似文献