Euler–Lagrange Correspondence Of Generalized Burgers Cellular Automaton
Euler–Lagrange Correspondence Of Generalized Burgers Cellular Automaton
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DOI：
10.1142/s0129183104005917
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发表时间：
2003-11
影响因子：
1.9
通讯作者：
J. Matsukidaira;K. Nishinari
中科院分区：
文献类型：
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作者：
J. Matsukidaira;K. Nishinari
最近，我们提出了一个Euler-Lagrange变换的细胞自动机（CA）通过开发新的转换公式。将此方法应用于Burgers CA（BCA），我们成功地得到了BCA的拉格朗日表示。在本文中，我们将这种方法应用到多值广义Burgers CA（GBCA），其中包括Fukui-Ishibashi模型和快速启动模型与交通流。结果，我们成功地澄清了这些模型的欧拉-拉格朗日对应。此外，GBCA可以自然地被认为是多车道交通流的简单模型。
Recently, we have proposed a Euler–Lagrange transformation for cellular automata (CA) by developing new transformation formulas. Applying this method to the Burgers CA (BCA), we have succeeded in obtaining the Lagrange representation of the BCA. In this paper, we apply this method to multi-value generalized Burgers CA (GBCA) which include the Fukui–Ishibashi model and the quick-start model associated with traffic flow. As a result, we have succeeded in clarifying the Euler–Lagrange correspondence of these models. It turns out moreover that the GBCA can naturally be considered as a simple model of a multi-lane traffic flow.