The Special Chao and Singularity in a Simple Traffic Model

被引：0
|
作者：
Gao, X. R. [1 ]
机构：
[1] Beijing Union Univ, Fundamental Teaching Dept, Beijing 100101, Peoples R China
来源：
MECHANICAL AND AEROSPACE ENGINEERING, PTS 1-7 | 2012年 / 110-116卷
关键词：
traffic model; bifurcation diagram; chao; singularity; CELLULAR-AUTOMATON MODEL; FLOW;
D O I：
10.4028/www.scientific.net/AMM.110-116.3080
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
We have proposed a modified traffic model in which a single car moves through a sequence of traffic lights controlled by a step function instead of a sine function. We have found the complex behaviors in this simple traffic model and given three kinds of bifurcation diagrams. We have found that in this model there are chaotic and complex periodic motions, as well as special singularity. In this paper, we will introduce two special kinds chao which is different from general chao and the singularities of the simple traffic model. There are three different kinds of singularity which are single singularity, unsymmetic and symmetic double singularity.
引用
收藏
页码：3080 / 3085
页数：6
相关论文
共 50 条
  • [31] A simple electromagnetic model for the light clock of special relativity
    Smith, Glenn S.
    EUROPEAN JOURNAL OF PHYSICS, 2011, 32 (06) : 1585 - 1595
  • [32] Traffic equilibrium assignment model special for urban road network
    Liu, Can-Qi
    Gonglu Jiaotong Keji/Journal of Highway and Transportation Research and Development, 2003, 20 (06):
  • [33] Droplet traffic in microfluidic networks: A simple model for understanding and designing
    Schindler, Michael
    Ajdari, Armand
    PHYSICAL REVIEW LETTERS, 2008, 100 (04)
  • [34] A simple traffic-light semiotic model for tagmemic theory
    Poythress, Vern
    SEMIOTICA, 2018, (225) : 253 - 267
  • [35] Simple model for urban traffic between two signalized intersections
    Prikryl, Jan
    2013 16TH INTERNATIONAL IEEE CONFERENCE ON INTELLIGENT TRANSPORTATION SYSTEMS - (ITSC), 2013, : 41 - 46
  • [36] Integrating a Simple Traffic Incident Model for Rapid Evacuation Analysis
    Collins, Andrew J.
    Robinson, R. Michael
    Foytik, Peter
    Jordan, Craig
    Ezell, Barry C.
    INTERNATIONAL JOURNAL OF TRANSPORTATION, 2016, 4 (03): : 15 - 32
  • [37] A simple stochastic car-following model for traffic flow
    Meng, Jian-ping
    Dong, Li-yun
    PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2007, : 1067 - 1070
  • [38] A simple jump model for describing the molecular traffic control effect
    Bräuer, P
    Neugebauer, N
    Kärger, J
    COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2001, 187 : 459 - 467
  • [39] Development of Simple Exponential Smoothing Model for Traffic Flow Prediction under Heterogeneous Traffic Conditions
    Omkar, G.
    Kumar, S. Vasantha
    URBANIZATION CHALLENGES IN EMERGING ECONOMIES: ENERGY AND WATER INFRASTRUCTURE; TRANSPORTATION INFRASTRUCTURE; AND PLANNING AND FINANCING, 2018, : 659 - 666
  • [40] On the Chao and Zelterman estimators in a binomial mixture model
    Mao, Chang Xuan
    Yang, Nan
    Zhong, Jinhua
    STATISTICAL METHODOLOGY, 2015, 22 : 17 - 22
12345