We propose a modified two-route traffic model by considering some dynamic vehicles disobeying the provided information for three feedback strategies： travel time information feedback （TTF）, mean velocity informatio...We propose a modified two-route traffic model by considering some dynamic vehicles disobeying the provided information for three feedback strategies： travel time information feedback （TTF）, mean velocity information feedback （MVF） and congestion coefficient information feedback （CCF）. The previous two-route traffic model shows that the flux of the system decreases as the ratio of dynamic vehicle increases for TTF and MVF. However, simulation results show that the flux of the system remains almost unchanged for TTF, MVF and CCF in our modified model. Our studies may be helpful for managing the real traffic system.展开更多
Empirical observations indicate that the interevent time distribution of human actions exhibits heavy-tailed features. The queuing model based on task priorities is to some extent successful in explaining the origin o...Empirical observations indicate that the interevent time distribution of human actions exhibits heavy-tailed features. The queuing model based on task priorities is to some extent successful in explaining the origin of such heavy tails, however, it cannot explain all the temporal statistics of human behavior especially for the daily entertainments. We propose an interest-driven model, which can reproduce the power-law distribution of interevent time. The exponent can be analytically obtained and is in good accordance with the simulations. This model well explains the observed relationship between activities and power-law exponents, as reported recently for web-based behavior and the instant message communications.展开更多
We present a novel and effective method for controlling epidemic spreading on complex networks, especially on scale-free networks. The proposed strategy is performed by deleting edges according to their significances ...We present a novel and effective method for controlling epidemic spreading on complex networks, especially on scale-free networks. The proposed strategy is performed by deleting edges according to their significances （the significance of an edge is defined as the product of the degrees of two nodes of this edge）. In contrast to other methods, e.g., random immunization, proportional immunization, targeted immunization, acquaintance immunization and so on, which mainly focus on how to delete nodes to realize the control of epidemic spreading on complex networks, our method is more effective in realizing the control of epidemic spreading on complex networks, moreover, such a method can better retain the integrity of complex networks.展开更多
The generalized Riccati equation vational expansion method is extended in this paper. Several exact solutions for the generalized Burgers-Fisher equation with variable coefficients are obtained by this method, and som...The generalized Riccati equation vational expansion method is extended in this paper. Several exact solutions for the generalized Burgers-Fisher equation with variable coefficients are obtained by this method, and some of which are derived for the first time. It is concluded from the results that this approach is simple and efficient even in solving partial differential equations with variable coefficients.展开更多
We propose a new two-type-player prisoner＇s dilemma game based on the division of work on a square lattice, in which a fraction of the population μ are assigned type A and the rest B. In a one-shot two-player game, ...We propose a new two-type-player prisoner＇s dilemma game based on the division of work on a square lattice, in which a fraction of the population μ are assigned type A and the rest B. In a one-shot two-player game, we let both of their original payoffs be scaled by a same multiplicative factor α 〉 1, if two neighboring players are of different types; however we leave the payoffs unchanged if they are of the same type. Then we show that combined with the two-type setup, the square lattice can assist to induce different social ranks according to players＇ abilities to collect payoffs. Simulation results show that the density of cooperation is significantly promoted for a wide range of the temptation to defection parameters and that there are optimal values for both α and μ leading to the maximal cooperation level. We reach these results by analyzing the distribution of the players in the social ranks and we also show some typical snapshots of the system.展开更多
This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation.It is demonstrated that the Exp-function method p...This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation.It is demonstrated that the Exp-function method provides a mathematical tool for solving the nonlinear evolution equation in mathematical physics.展开更多
The naming game is a model of nonequilibrium dynamics for the self-organized emergence of a language or a communication system. We study a modified version of the minimal naming game in which the speaker selects a wor...The naming game is a model of nonequilibrium dynamics for the self-organized emergence of a language or a communication system. We study a modified version of the minimal naming game in which the speaker selects a word from its inventory with a probability proportional to exp（Rs ＊ α）, where Rs is the success ratio of the name and α is a tunable parameter. By investigating the effects of α on the evolutionary processes for both square lattice and scale-free networks, we find that the convergence time decreases with the increasing α on both two networks, which indicates that preferential selection of successful words can accelerate the reaching of consensus. More interestingly, for α 〉 0, we find that the relation between convergence time and α exhibits a power-law form.展开更多
<Abstract>We study the role of unbiased migration in cooperation in the framework of the spatial evolutionary game on a variety of spatial structures, namely a regular lattice, continuous plane and complex netwo...<Abstract>We study the role of unbiased migration in cooperation in the framework of the spatial evolutionary game on a variety of spatial structures, namely a regular lattice, continuous plane and complex networks. A striking finding is that migration plays a universal role in cooperation, regardless of the spatial structure. For a high degree of migration, cooperators cannot survive owing to their failure to form cooperator clusters that resist attacks by defectors. Meanwhile, for a low degree of migration, cooperation is considerably enhanced relative to that in the static spatial game, which is due to the strengthening of the boundaries of cooperator clusters by the occasional accumulation of cooperators along the boundaries. The cooperator cluster thus becomes more robust than that in the static game and defectors near the boundary can be assimilated by cooperators. The cooperator cluster thus expands, which facilitates cooperation. The general role of migration will be substantiated by sufficient simulations relating to heuristic explanations.展开更多
Scale-free topology and high clustering coexist in some real networks, and keep invariant for growing sizes of the systems. Previous models could hardly give out size-independent clustering with self- organized mechan...Scale-free topology and high clustering coexist in some real networks, and keep invariant for growing sizes of the systems. Previous models could hardly give out size-independent clustering with self- organized mechanism when succeeded in producing power-law degree distributions. Always ignored, some empirical statistic results display flat-head power-law behaviors. We modify our recent coevo- lutionary model to explain such phenomena with the inert property of nodes to retain small portion of unfavorable links in self-organized rewiring process. Flat-head power-law and size-independent clustering are induced as the new characteristics by this modification. In addition, a new scaling relation is found as the result of interplay between node state growth and adaptive variation of connections.展开更多
基金Supported by the National Basic Research Program of China under Grant No 2006CB705500, the National Natural Science Foundation of China under Grant Nos 10975126 and 10635040, and the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No 20093402110032.
文摘We propose a modified two-route traffic model by considering some dynamic vehicles disobeying the provided information for three feedback strategies： travel time information feedback （TTF）, mean velocity information feedback （MVF） and congestion coefficient information feedback （CCF）. The previous two-route traffic model shows that the flux of the system decreases as the ratio of dynamic vehicle increases for TTF and MVF. However, simulation results show that the flux of the system remains almost unchanged for TTF, MVF and CCF in our modified model. Our studies may be helpful for managing the real traffic system.
基金Supported by the National Natural Science Foundation of China under Grant Nos 70871082, 10975126, 90924011, 70971089, 10635040 and 60973069, the China Postdoctoral Science Foundation under Grant No 20080431273, and the Sino-Swiss Science and Technology Cooperation （SSSTC） Project （EG 20-032009）. We acknowledge Xiaopu Han and Wei Hong for their useful discussions.
文摘Empirical observations indicate that the interevent time distribution of human actions exhibits heavy-tailed features. The queuing model based on task priorities is to some extent successful in explaining the origin of such heavy tails, however, it cannot explain all the temporal statistics of human behavior especially for the daily entertainments. We propose an interest-driven model, which can reproduce the power-law distribution of interevent time. The exponent can be analytically obtained and is in good accordance with the simulations. This model well explains the observed relationship between activities and power-law exponents, as reported recently for web-based behavior and the instant message communications.
基金Supported by the National Natural Science Foundation of China under Grant Nos 60744003, 10635040 and 10532060, the Specialized Research Fund for the Doctoral Program of Higher Education of China （20060358065）, the National Science Fund for Fostering Talents in Basic Science （J0630319）, the Foundation of Anhui Education Bureau under Grant No KJ2007A003, and the Natural Science Foundation of Anhui Province under Grant No 070416225.
文摘We present a novel and effective method for controlling epidemic spreading on complex networks, especially on scale-free networks. The proposed strategy is performed by deleting edges according to their significances （the significance of an edge is defined as the product of the degrees of two nodes of this edge）. In contrast to other methods, e.g., random immunization, proportional immunization, targeted immunization, acquaintance immunization and so on, which mainly focus on how to delete nodes to realize the control of epidemic spreading on complex networks, our method is more effective in realizing the control of epidemic spreading on complex networks, moreover, such a method can better retain the integrity of complex networks.
基金Supported by the National Basic Research Project of China (973 Program No. 2006CB705500)by the National Natural Science Foundation of China under Grant Nos. 10975216, 10635040by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No. 20093402110032
文摘The generalized Riccati equation vational expansion method is extended in this paper. Several exact solutions for the generalized Burgers-Fisher equation with variable coefficients are obtained by this method, and some of which are derived for the first time. It is concluded from the results that this approach is simple and efficient even in solving partial differential equations with variable coefficients.
基金Supported by the National Basic Research Program of China under Grant No 2006CB705500, the National Natural Science Foundation of China under Grant Nos 60744003, 10635040 and 10532060, the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No 20060358065, and the National Science Fund for Fostering Talents in Basic Science （J0630319）.
文摘We propose a new two-type-player prisoner＇s dilemma game based on the division of work on a square lattice, in which a fraction of the population μ are assigned type A and the rest B. In a one-shot two-player game, we let both of their original payoffs be scaled by a same multiplicative factor α 〉 1, if two neighboring players are of different types; however we leave the payoffs unchanged if they are of the same type. Then we show that combined with the two-type setup, the square lattice can assist to induce different social ranks according to players＇ abilities to collect payoffs. Simulation results show that the density of cooperation is significantly promoted for a wide range of the temptation to defection parameters and that there are optimal values for both α and μ leading to the maximal cooperation level. We reach these results by analyzing the distribution of the players in the social ranks and we also show some typical snapshots of the system.
基金Supported by the National Natural Science Foundation of China(91024026,10975126)Supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China(200934021100 32)
文摘This paper focuses on the application of Exp-function method to obtain generalized solutions of the KdV-Burgers-Kuramoto equation and the Kuramoto-Sivashinsky equation.It is demonstrated that the Exp-function method provides a mathematical tool for solving the nonlinear evolution equation in mathematical physics.
基金Supported by the National Basic Research Program of China under Grant No 2006CB705500, the National Natural Science Foundation of China under Grant Nos 10975126 and 10635040, and the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No 20093402110032.
文摘The naming game is a model of nonequilibrium dynamics for the self-organized emergence of a language or a communication system. We study a modified version of the minimal naming game in which the speaker selects a word from its inventory with a probability proportional to exp（Rs ＊ α）, where Rs is the success ratio of the name and α is a tunable parameter. By investigating the effects of α on the evolutionary processes for both square lattice and scale-free networks, we find that the convergence time decreases with the increasing α on both two networks, which indicates that preferential selection of successful words can accelerate the reaching of consensus. More interestingly, for α 〉 0, we find that the relation between convergence time and α exhibits a power-law form.
基金supported by the National Basic Research Program of China (2006CB705500)the National Important Research Project (91024026)+1 种基金the National Natural Science Foundation of China (10795016,10635040,11005001)the Specialized Research Fund for the Doctoral Program of Higher Education of China(20093402110032)
文摘<Abstract>We study the role of unbiased migration in cooperation in the framework of the spatial evolutionary game on a variety of spatial structures, namely a regular lattice, continuous plane and complex networks. A striking finding is that migration plays a universal role in cooperation, regardless of the spatial structure. For a high degree of migration, cooperators cannot survive owing to their failure to form cooperator clusters that resist attacks by defectors. Meanwhile, for a low degree of migration, cooperation is considerably enhanced relative to that in the static spatial game, which is due to the strengthening of the boundaries of cooperator clusters by the occasional accumulation of cooperators along the boundaries. The cooperator cluster thus becomes more robust than that in the static game and defectors near the boundary can be assimilated by cooperators. The cooperator cluster thus expands, which facilitates cooperation. The general role of migration will be substantiated by sufficient simulations relating to heuristic explanations.
基金Acknowledgements We acknowledge the financial suppor~ from the National Basic Science Program of China Project No. 2006CB705500 and the National Natural Science Foundation of China under the grant Nos. 70471084, 10775071, 10635040, and 60676056. C. P. Zhu thanks the hospitable accommodation of Bao- Wen Li at NUS and Visitors Program of MPIPKS in Dresden, Germany.
文摘Scale-free topology and high clustering coexist in some real networks, and keep invariant for growing sizes of the systems. Previous models could hardly give out size-independent clustering with self- organized mechanism when succeeded in producing power-law degree distributions. Always ignored, some empirical statistic results display flat-head power-law behaviors. We modify our recent coevo- lutionary model to explain such phenomena with the inert property of nodes to retain small portion of unfavorable links in self-organized rewiring process. Flat-head power-law and size-independent clustering are induced as the new characteristics by this modification. In addition, a new scaling relation is found as the result of interplay between node state growth and adaptive variation of connections.
