Delay transition of a recurrent bus on a circular route

Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2001, vol. 297, issue 1, 260-268

Abstract: We study the behavior of a recurrent bus on a circular route with many bus stops. We present the basic model determining the recurrent time (one period) on each bus stop. The recurrent times on M bus stops are given by M simultaneous nonlinear equations. It is found that the dynamical phase transition between the delay and schedule-time phases occurs with varying the initial period. The dynamical transition depends on number M of bus stops. When M is larger than the critical value, the recurrent time diverges with the number of rotation. The recurrent time is described, approximately, in terms of a nonlinear map. The schedule-time phase is determined by the basin of attraction.

Keywords: Phase transition; Bus delay; Nonlinear map (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:297:y:2001:i:1:p:260-268

DOI: 10.1016/S0378-4371(01)00193-5

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