We propose a simplified human regular mobility model to simulate an individual's daily travel with three sequential activities:commuting to workplace,going to do leisure activities and returning home.With the assu...We propose a simplified human regular mobility model to simulate an individual's daily travel with three sequential activities:commuting to workplace,going to do leisure activities and returning home.With the assumption that the individual has a constant travel speed and inferior limit of time at home and in work,we prove that the daily moving area of an individual is an ellipse,and finally obtain an exact solution of the gyration radius.The analytical solution captures the empirical observation well.展开更多
We show that the degree distribution of a growing network with linear preferential attachment approximately follows the Mandelbrot law,and propose an analytical method based on a recursive formula that can be used to ...We show that the degree distribution of a growing network with linear preferential attachment approximately follows the Mandelbrot law,and propose an analytical method based on a recursive formula that can be used to obtain a more accurate expression of the shifting coefficient.Simulations demonstrate the advantages of our method.This work provides a possible mechanism leading to the Mandelbrot law of evolving networks,and refines the mainstream analytical methods for the shifting coefficient.展开更多
After studying the effects of imitation on the mixed population of adaptive agents with different memories competing in a minority game, we have found that when the pure population lies in a crowded regime, the introd...After studying the effects of imitation on the mixed population of adaptive agents with different memories competing in a minority game, we have found that when the pure population lies in a crowded regime, the introduction of imitation can considerably improve cooperation among agents in a money market.展开更多
In a two-dimensional area-preserving map we found a kind of noninvertibility that is induced by a piece-wise smooth property of the map.This can lead to the appearance of such kinds of elliptic islands that attract th...In a two-dimensional area-preserving map we found a kind of noninvertibility that is induced by a piece-wise smooth property of the map.This can lead to the appearance of such kinds of elliptic islands that attract the iterations from a set of initial values outside themselves,while behaving regularly inside.We suggest calling such islands quasi-attractors.展开更多
The inter-event time of terrorism attack events is investigated by empirical data and model analysis. Empirical evidence shows that it follows a scale-free property. In order to understand the dynamic mechanism of suc...The inter-event time of terrorism attack events is investigated by empirical data and model analysis. Empirical evidence shows that it follows a scale-free property. In order to understand the dynamic mechanism of such a statistical feature, an opinion dynamic model with a memory effect is proposed on a two-dimensional lattice network. The model mainly highlights the role of individual social conformity and self-affirmation psychology. An attack event occurs when the order parameter indicating the strength of public opposition opinion is smaller than a critical value. Ultimately, the model can reproduce the same statistical property as the empirical data and gives a good understanding for the possible dynamic mechanism of terrorism attacks.展开更多
We present an exact numerical method to calculate the mean first passage time for the random walk on the network between any source node and any target which contains an arbitrary number of nodes.For the network with ...We present an exact numerical method to calculate the mean first passage time for the random walk on the network between any source node and any target which contains an arbitrary number of nodes.For the network with the average degree<k>~O(1)and the effective diameter D~lnN or less,the efficiency of our numerical approach is found to exceed all other general numerical methods presented in the literature.Our method can also calculate the average of any function of the first passage time,provided it is finite.展开更多
In this paper,a derivation of the macroscopic mean field theory of the cellular automaton(CA)model of highway traffic flow starting from the microscopic dynamical point of view is presented.Starting from an equation d...In this paper,a derivation of the macroscopic mean field theory of the cellular automaton(CA)model of highway traffic flow starting from the microscopic dynamical point of view is presented.Starting from an equation describing the time evolution of the Boolean state variable at each site of the basic CA model,and using a two-site approximation for the multi-site correlation functions,a dynamical mapping between the macroscopic average speeds v(t+1)and v(t)at different time can be derived.Mean field results consistent with the simulation data are obtained by considering the attractors of the mapping and their corresponding basins.展开更多
The leakage of iterations from chaotic attractor near crisis due to dynamical inter-action between discontinuity and noninvertibility has been studied.The scaling law of the mean life time is derived analytically.The ...The leakage of iterations from chaotic attractor near crisis due to dynamical inter-action between discontinuity and noninvertibility has been studied.The scaling law of the mean life time is derived analytically.The numerical result shows very good agreement.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 91024026,10975126,70871082 and 70971089the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No 20093402110032the Research Foundation of Hebei Educational Committee under Grant No Z2009139.
文摘We propose a simplified human regular mobility model to simulate an individual's daily travel with three sequential activities:commuting to workplace,going to do leisure activities and returning home.With the assumption that the individual has a constant travel speed and inferior limit of time at home and in work,we prove that the daily moving area of an individual is an ellipse,and finally obtain an exact solution of the gyration radius.The analytical solution captures the empirical observation well.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10975126 and 91024026.
文摘We show that the degree distribution of a growing network with linear preferential attachment approximately follows the Mandelbrot law,and propose an analytical method based on a recursive formula that can be used to obtain a more accurate expression of the shifting coefficient.Simulations demonstrate the advantages of our method.This work provides a possible mechanism leading to the Mandelbrot law of evolving networks,and refines the mainstream analytical methods for the shifting coefficient.
基金Supported by the Special Fund for National Basic Research Major Project in China(973 Project)the National Basic Research Climbing-Up Project“Nonlinear Science”+2 种基金the National Natural Science Foundation of China under Grant Nos.19932020,19974039 and 59876039the Research Grant Council of the Hong Kong SAR Government under Grant Nos.CUHK4191/97P and CUHK4241/01Pthe China-Canada University Industry Partnership Program(CCUIPP-NSFC Grant No.70142005.)。
文摘After studying the effects of imitation on the mixed population of adaptive agents with different memories competing in a minority game, we have found that when the pure population lies in a crowded regime, the introduction of imitation can considerably improve cooperation among agents in a money market.
基金Supported by the National Natural Science Foundation of China under Grant Nos.19975039,49474216 and 59876093the Natural Science Foundation of Jiangsu Provincial Education Committee under Grant No.98kjb140006the Chinese National Basic Research Climbing Project.
文摘In a two-dimensional area-preserving map we found a kind of noninvertibility that is induced by a piece-wise smooth property of the map.This can lead to the appearance of such kinds of elliptic islands that attract the iterations from a set of initial values outside themselves,while behaving regularly inside.We suggest calling such islands quasi-attractors.
基金Supported by the National Natural Science Foundation of China under Grant Nos 60744003, 10975126 and 70871082, the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No 20060358065, and the National Basic Research Program of China under Grant No 2006CB705500.
文摘The inter-event time of terrorism attack events is investigated by empirical data and model analysis. Empirical evidence shows that it follows a scale-free property. In order to understand the dynamic mechanism of such a statistical feature, an opinion dynamic model with a memory effect is proposed on a two-dimensional lattice network. The model mainly highlights the role of individual social conformity and self-affirmation psychology. An attack event occurs when the order parameter indicating the strength of public opposition opinion is smaller than a critical value. Ultimately, the model can reproduce the same statistical property as the empirical data and gives a good understanding for the possible dynamic mechanism of terrorism attacks.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11275186 and 91024026the Major Important Project Fund for Anhui University Nature Science Research(KJ2011ZD07)。
文摘We present an exact numerical method to calculate the mean first passage time for the random walk on the network between any source node and any target which contains an arbitrary number of nodes.For the network with the average degree<k>~O(1)and the effective diameter D~lnN or less,the efficiency of our numerical approach is found to exceed all other general numerical methods presented in the literature.Our method can also calculate the average of any function of the first passage time,provided it is finite.
基金Supported by the Chinese National Basic Research Project"Nonlinear Science"the National Natural Science Foundation of China under Grant No.49474216the Science Foundation of Shanghai on Traffic Problem Research.
文摘In this paper,a derivation of the macroscopic mean field theory of the cellular automaton(CA)model of highway traffic flow starting from the microscopic dynamical point of view is presented.Starting from an equation describing the time evolution of the Boolean state variable at each site of the basic CA model,and using a two-site approximation for the multi-site correlation functions,a dynamical mapping between the macroscopic average speeds v(t+1)and v(t)at different time can be derived.Mean field results consistent with the simulation data are obtained by considering the attractors of the mapping and their corresponding basins.
基金Supported by the Chinese National Basic Research Project“Nonlinear Science”the National Natural Science Foundation of Chinathe Science Foundation of Shaanxi Province.
文摘The leakage of iterations from chaotic attractor near crisis due to dynamical inter-action between discontinuity and noninvertibility has been studied.The scaling law of the mean life time is derived analytically.The numerical result shows very good agreement.
