混乱的半高速巴士在一个循环
Chaotic semi-express buses in a loop
摘要：
城市交通涉及许多相互作用的组成部分：公共汽车，汽车，通勤者，行人，火车等，使其成为一个非常复杂的系统复杂系统来研究。即使是一个负责将通勤者从他们的出发地运送到他们的目的地的循环服务的公共汽车系统也已经表现出非常复杂的动态。在这里，我们调查这样一个巴士环路系统的简化版本的动态由两辆巴士服务三个巴士站。具体而言，我们考虑一种配置，其中一辆巴士作为普通巴士运行，从巴士站$A$和$B$接载乘客，然后将他们送到巴士站$C$，而第二辆巴士作为快速巴士运行，仅从巴士站$B$接载乘客，然后将他们送到巴士站$C$。这两辆巴士就像耦合到巴士站$B$的不对称代理，因为它们通过从这个公共巴士站接送乘客进行交互。有趣的是，这种\emph{semi-express}总线配置与两个普通总线的配置或两个快速总线的配置相比更有效，并且具有更低的总线平均等待时间。我们认为效率来自于半快车系统中表现出的混沌动力学，其中反聚束的趋势大于聚束的趋势，与两个正常总线的规则聚束行为或两个非相互作用的快车总线的独立周期性行为形成对比。
英文摘要：
Urban mobility involves many interacting components: buses, cars, commuters, pedestrians, trains etc., making it a very complex system to study. Even a bus system responsible for delivering commuters from their origins to their destinations in a loop service already exhibits very complicated dynamics. Here, we investigate the dynamics of a simplified version of such a bus loop system consisting of two buses serving three bus stops. Specifically, we consider a configuration of one bus operating as a normal bus which picks up passengers from bus stops $A$ and $B$, and then delivers them to bus stop $C$, whilst the second bus acts as an express bus which picks up passengers only from bus stop $B$ and then delivers them to bus stop $C$. The two buses are like asymmetric agents coupled to bus stop $B$ as they interact via picking up passengers from this common bus stop. Intriguingly, this \emph{semi-express} bus configuration is more efficient and has a lower average waiting time for buses, compared to a configuration of two normal buses or a configuration of two express buses. We reckon the efficiency arises from the chaotic dynamics exhibited in the semi-express system, where the tendency towards anti-bunching is greater than that towards bunching, in contradistinction to the regular bunching behavior of two normal buses or the independent periodic behaviour of two non-interacting express buses.
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