Abstract:A variety of topological metrics have been proposed to determine whether or not a proposed model is suitable for modeling the AS-level Internet topology, which have led to a common belief that the average degree, degree distribution and joint degree distribution are sufficient for reproducing most fundamental structural characteristics. Rather than discussing such structural characteristics, in this paper we focus on the performance comparison of different AS-level Internet models, which allows us to determine whether or not the currently proposed AS-level Internet models can sustain a certain Internet function of interest. By taking the network performances in resisting random failures and intentional attacks as an indicator, we show that some models with almost same values in their average degree, degree distribution and joint degree distribution can exhibit very different behaviors. Our findings provide good insights on how to improve the resistibility of the Internet and a complex heterogeneous network in general. More importantly, our observations suggest that there are risks when applying new protocols and algorithms to the real Internet.

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	1. The heterogenous models of the AS-level Internet may not fit to sustain its functioning
	Fan Zhengping
	Physics 27 December 2010
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	Abstract:A variety of topological metrics have been proposed to determine whether or not a proposed model is suitable for modeling the AS-level Internet topology, which have led to a common belief that the average degree, degree distribution and joint degree distribution are sufficient for reproducing most fundamental structural characteristics. Rather than discussing such structural characteristics, in this paper we focus on the performance comparison of different AS-level Internet models, which allows us to determine whether or not the currently proposed AS-level Internet models can sustain a certain Internet function of interest. By taking the network performances in resisting random failures and intentional attacks as an indicator, we show that some models with almost same values in their average degree, degree distribution and joint degree distribution can exhibit very different behaviors. Our findings provide good insights on how to improve the resistibility of the Internet and a complex heterogeneous network in general. More importantly, our observations suggest that there are risks when applying new protocols and algorithms to the real Internet.
	TO cite this article:Fan Zhengping. The heterogenous models of the AS-level Internet may not fit to sustain its functioning[OL].[27 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4396855


	2. Cooperative Behavior in a Model of Evolutionary Snowdrift Games with N-person Interactions
	Zheng Dafang,Yin Haiping,Chan ChunH,Hui Poming
	Physics 26 March 2010
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	Abstract:We propose a model of evolutionary snowdrift game with $N$-person interactions and study the effects of multi-person interactions on the emergence of cooperation. An exact $N$-th-order equation for the equilibrium density of cooperators $x^$ is derived for a well-mixed population using the approach of replicator dynamics. The results show that the extent of cooperation drops with increasing cost-to-benefit ratio and the number $N$ of interaction persons in a group, with $x^{}sim1/N$ for large $N$. An algorithm for numerical simulations is constructed for the model. The simulation results are in good agreements with theoretical results of the replicator dynamics.
	TO cite this article:Zheng Dafang,Yin Haiping,Chan ChunH, et al. Cooperative Behavior in a Model of Evolutionary Snowdrift Games with N-person Interactions[OL].[26 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41218

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	3. Effect of spatial rather than temporal complexity on ecosystems
	Li Dong,M. C. Cross,Zheng Zhigang
	Physics 11 February 2010
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	Abstract:We investigate the role of spatial and temporal complexity on the biomass of diffusive Gause-Lotka-Volterra systems. We find that the average total biomass is insensitive to the temporal complexity. On the other hand increasing diffusion leads to a decrease of the biomass as the spatial complexity plays an important role. At large values of the diffusion the spatial complexity saturates. We understand this region by a scaling analysis of the evolution equations. We propose that investigating the periodic windows that are typically interspersed in chaotic parameter regions is a useful test of the importance of temporal complexities.
	TO cite this article:Li Dong,M. C. Cross,Zheng Zhigang. Effect of spatial rather than temporal complexity on ecosystems[OL].[11 February 2010] http://en.paper.edu.cn/en_releasepaper/content/40173


	4. The nonextensive and extensive thermostatistic properties of Fermi systems trapped in different external potentials
	Huang Zhifu ,Ou Congjie ,Chen Jincan
	Physics 21 November 2007
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	Abstract:The thermostatistic properties of a q-generalized Fermi system trapped in a generic power-law potential are studied, based on the generalized statistic distribution derived from Tsallis’ entropy. The total number of particles, total energy, and heat capacity at constant volume of the system are derived. The thermostatistic characteristics of the system are discussed in detail. It is found that the thermostatistic properties of such a system depend closely on the parameter q, dimensional number of the space, kinetic characteristics of particles and shapes of the external potential, and the external potential has a great influence on the thermostatistic properties of the system. Moreover, it is shown that the results obtained here are very general and can be used to describe the nonextensive and extensive thermostatistic properties of a class of Fermi systems trapped in different external potentials in a unified way so that the important conclusions of many typical Fermi systems in literature may be directly derived from the present paper.
	TO cite this article:Huang Zhifu ,Ou Congjie ,Chen Jincan . The nonextensive and extensive thermostatistic properties of Fermi systems trapped in different external potentials[OL].[21 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16494


	5. A basic problem in the correlations between statistics and thermodynamics
	Congjie Ou,Zhifu Huang,Jincan Chen
	Physics 26 April 2007
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	Abstract:By using a fonctionelle of probability distributions, several different statistical physics including extensive and nonextensive statistics are unified in a general method. The essential equivalence between the MaxEnt process of the most probable probility distribution in these statistics and the famous thermodynamical relation is strictly proved without any additional assumption. Moreover, it is expounded that all the conclusions of these different statistics can be directly derived from the equivalent relation.
	TO cite this article:Congjie Ou,Zhifu Huang,Jincan Chen. A basic problem in the correlations between statistics and thermodynamics[OL].[26 April 2007] http://en.paper.edu.cn/en_releasepaper/content/12509


	6. Deduction of Initial Strategy Distributions of Agents in Mix-game Model
	Gou Chengling
	Physics 10 March 2006
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	Abstract:This paper reports the effort of deducing the initial strategy distributions of agents in mix-game model which is used to predict a real financial time series generated from a target financial market. Using mix-game to predict Shanghai Index, we find the time series of prediction accurate rates is sensitive to the initial strategy distributions of agents in group 2 who play minority game, but less sensitive to the initial strategy distributions of agents in group 1 who play majority game. And agents in group 2 tend to cluster in full strategy space (FSS) if the real financial time series has obvious tendency (upward or downward), otherwise they tend to scatter in FSS. We also find that the initial strategy distributions and the number of agents in group 1 influence the level of prediction accurate rates. Finally, this paper gives suggestion about further research.
	TO cite this article:Gou Chengling. Deduction of Initial Strategy Distributions of Agents in Mix-game Model [OL].[10 March 2006] http://en.paper.edu.cn/en_releasepaper/content/5634


	7. Cellular automata Model: an Adaptive Approach to Determining the Flow of Tollbooths
	Liu Quanxing
	Physics 22 December 2005
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	Abstract:Toll plaza is designed for collecting tolls in heavily travelled highways; it is however unpopular since the motorist is hardly happy when has to wait in a long line for paying for the tolls. The purpose of this paper is to propose innovative toll plaza systems that are expected to minimize motorist annoyance, and to determine the optimal number of tollbooths in a traffic lane by cellular automata, if only one tollbooth is expected for one lane. In our understanding, a good system is assumed to be able to account for the interests of both motorists and traffic managers, and to help achieve a well balance between motorist annoyance and the optimal number of tollbooths in a toll plaza. It is also assumed that, in a good system, the number of vehicles congested before the toll plaza tends to equal that of vehicles congested after the toll plaza in unit of time. All these assumptions have been validated. It is observed that the time gap for each vehicle passes through a toll plaza is at random variation; whether congestions may occur at a toll plaza is sensitive to this variable. We are then convinced that this model is the one that adapts to its environment rather than the one that tries to follow rigid rules. We choose for our research the Cellular Automata, a dynamic model for space-time calculation and discrete variables determination, because of its simplicity, flexibility, and capability to be easily simulated; and we then make a series of innovations to the motional rules in accordance with practical observations. By simulating this model with a Matlab program, we determine a close an almost optimal solution to the problems as described above. Our findings by using the innovated CA model as well as their significance have been discussed in our proposal.
	TO cite this article:Liu Quanxing. Cellular automata Model: an Adaptive Approach to Determining the Flow of Tollbooths[OL].[22 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4556


	8. Partial Synchronization in Complex Networks
	Bin Ao,Zhigang Zheng
	Physics 29 November 2005
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	Abstract:Partial synchronization(PaS) in regular networks with a few non-local links is explored. Different Pas patterns out of the symmetry breaking are observed for different ways of non-local couplings. The criterion for the emergence of PaS is studied. The emergence of Pas is related to the loss of degeneration in Lyapunov exponents spectrum. Theoretic and numerical analysis show that the non-local coupling is the key of the emergency of PaS and it can change the character of the network dramatically.
	TO cite this article:Bin Ao,Zhigang Zheng. Partial Synchronization in Complex Networks[OL].[29 November 2005] http://en.paper.edu.cn/en_releasepaper/content/3846


	9. Nonlinear Time Series Prediction Using Improved Least Squares Support Vector Machine
	Xu Ruirui,Bian Guoxing
	Physics 13 January 2005
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	Abstract:In the research of the nonlinear time series prediction, we apply the least squares support vector machine (LS-SVM) to use. In order to improve the precision LS-SVM has been discussed in the following aspects. First, the parameterγand multi-step prediction capabilities of the LS-SVM network are investigated. Then we employ clustering method in the model to prune the number of the support values. The learning rate and the capabilities of filtering noise for LS-SVM are all greatly improved.
	TO cite this article:Xu Ruirui,Bian Guoxing. Nonlinear Time Series Prediction Using Improved Least Squares Support Vector Machine [OL].[13 January 2005] http://en.paper.edu.cn/en_releasepaper/content/1459

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