Chaotic asymptotic behaviour of the solutions of the Lighthill-Whitham-Richards equation

被引：8

作者：

Alberto Conejero, J. ^{[1
]}

Martinez-Gimenez, Felix ^{[1
]}

Peris, Alfredo ^{[1
]}

Rodenas, Francisco ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain

来源：

NONLINEAR DYNAMICS | 2016年 / 84卷 / 01期

关键词：

Devaney chaos; Mixing measures; Traffic; Lighthill-Whitman-Richards equation; C-0-semigroup; STRONG MIXING MEASURES; DISTRIBUTIONAL CHAOS; NONLINEAR DYNAMICS; SEMIGROUPS; MODELS; OPERATORS; WAVES;

D O I：

10.1007/s11071-015-2245-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The phenomenon of chaos has been exhibited in mathematical nonlinear models that describe traffic flows, see, for instance (Li and Gao in Modern Phys Lett B 18(26-27):1395-1402, 2004; Li in Phys. D Nonlinear Phenom 207(1-2):41-51, 2005). At microscopic level, Devaney chaos and distributional chaos have been exhibited for some car-following models, such as the quick-thinking-driver model and the forward and backward control model (Barrachina et al. in 2015; Conejero et al. in Semigroup Forum, 2015). We present here the existence of chaos for the macroscopic model given by the Lighthill-Whitham-Richards equation.

引用

页码：127 / 133

页数：7

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