Hopf bifurcation analysis for a dissipative system with asymmetric interaction: Analytical explanation of a specific property of highway traffic

被引：7

作者：

Nomura, Yasuyuki ^{[1
]}

Saito, Satoshi ^{[2
]}

Ishiwata, Ryosuke ^{[3
]}

Sugiyama, Yuki ^{[3
]}

机构：

[1] Fukui Coll, Natl Inst Technol, Dept Elect & Informat Engn, Sabae 9168507, Japan

[2] Nagoya Univ, Grad Sch Informat Sci, Dept Informat Engn, Nagoya, Aichi 4648601, Japan

[3] Nagoya Univ, Grad Sch Informat Sci, Dept Complex Syst Sci, Nagoya, Aichi 4648601, Japan

来源：

PHYSICAL REVIEW E | 2016年 / 93卷 / 01期

关键词：

DYNAMICAL MODEL; PHYSICS;

D O I：

10.1103/PhysRevE.93.012215

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A dissipative system with asymmetric interaction, the optimal velocity model, shows a Hopf bifurcation concerned with the transition from a homogeneous motion to the formation of a moving cluster, such as the emergence of a traffic jam. We investigate the properties of Hopf bifurcation depending on the particle density, using the dynamical system for the traveling cluster solution of the continuum system derived from the original discrete system of particles. The Hopf bifurcation is revealed as a subcritical one, and the property explains well the specific phenomena in highway traffic: the metastability of jamming transition and the hysteresis effect in the relation of car density and flow rate.

引用

页数：12

共 19 条

[11] Why Does Traffic Jam Acts Universally? [J].

Ishida, Tsumugi ;

Sugiyama, Yuki .

TRAFFIC AND GRANULAR FLOW '13, 2015, :541-547

[12] The physics of traffic jams [J].

Nagatani, T .

REPORTS ON PROGRESS IN PHYSICS, 2002, 65 (09) :1331-1386

[13] Single-vehicle data of highway traffic: A statistical analysis [J].

Neubert, L ;

Santen, L ;

Schadschneider, A ;

Schreckenberg, M .

PHYSICAL REVIEW E, 1999, 60 (06) :6480-6490

[14]

Orosz G, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.026207

[15]

SUGIYAMA Y, 1998, TRAFFIC GRANULAR FLO, P301

[16]

SUGIYAMA Y, 1996, TRAFFIC GRANULAR FLO, P137

[17] Observation of congested two-lane traffic caused by a tunnel [J].

Tadaki, S ;

Nishinari, K ;

Kikuchi, M ;

Sugiyama, Y ;

Yukawa, S .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (09) :2326-2334

[18]

YAMADA H, 1995, P 2 S SIM TRAFF FLOW, P12

[19] Dissipative system with asymmetric interaction and Hopf bifurcation [J].

Yamamoto, Masami ;

Nomura, Yasuyuki ;

Sugiyama, Yuki .

PHYSICAL REVIEW E, 2009, 80 (02)

← 1 2 →