Nonlinear analysis of traffic jams in an anisotropic continuum model

查看全文 作　　者：Arvind Kumar [1]Gupta;Sapna [2]Sharma

机构地区：[1]Department of Mathematics,IIT Ropar-140001,India;[2]Mathematics Group,Birla Institute of Technology and Science,Pilani-333031,India

出　　处：《Chinese Physics B》索引2010年第19卷第11期,共9页

摘　　要：This paper presents our study of the nonlinear stability of a new anisotropic continuum traffic flow model in which the dimensionless parameter or anisotropic factor controls the non-isotropic character and diffusive influence.In order to establish traffic flow stability criterion or to know the critical parameters that lead,on one hand,to a stable response to perturbations or disturbances or,on the other hand,to an unstable response and therefore to a possible congestion,a nonlinear stability criterion is derived by using a wavefront expansion technique.The stability criterion is illustrated by numerical results using the finite difference method for two different values of anisotropic parameter.It is also been observed that the newly derived stability results are consistent with previously reported results obtained using approximate linearisation methods.Moreover,the stability criterion derived in this paper can provide more refined information from the perspective of the capability to reproduce nonlinear traffic flow behaviors observed in real traffic than previously established methodologies. 关键词：各向异性模型非线性分析交通拥堵非线性稳定性交通流模型稳定性判据有限差分方法非各向同性

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Nonlinear analysis of traffic jams in an anisotropic continuum model

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