Title of article :
Nonlinear analysis of lattice model with consideration of optimal current difference
Author/Authors :
Tian، نويسنده , , Chuan and Sun، نويسنده , , Dihua and Zhang، نويسنده , , Min، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
6
From page :
4524
To page :
4529
Abstract :
Based on Li’s lattice model, a new lattice model considering the influence of optimal current difference information is presented. The linear stability criterion of this model is obtained by employing the linear stability theory. The results show that the new consideration contributes to the stabilization of traffic systems. The modified Korteweg-de Vries (mKdV) equation is derived by using the nonlinear analysis method. The occurrence of traffic jamming transitions could be thus described by the kink-antikink soliton solution for the mKdV equation. From the simulation results of space–time evolution of the vehicle density, it is shown that the traffic jam is suppressed efficiently with considering the information of optimal current difference, and the analytical results is in good agreement with the simulation ones.
Keywords :
Traffic Flow , Nonlinear analysis , Optimal current difference , Lattice model
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Serial Year :
2011
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Record number :
1536463
Link To Document :
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