Analytic solutions for a functional differential equation related to a traffic flow model

DOI10.1155/2012/180595zbMath1261.34045OpenAlexW2166028135WikidataQ58695030 ScholiaQ58695030MaRDI QIDQ1938131

Hou Yu Zhao

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/180595

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Implicit functional-differential equations (34K32)

Cites Work

• Vlasov-Fokker-Planck models for multilane traffic flow
• Local invertible analytic solution of a functional differential equation with deviating arguments depending on the state derivative
• On stop-and-go waves in dense traffic
• Analytical and numerical investigations of refined macroscopic traffic flow models
• Stochastic description of traffic flow
• The Brjuno functions and their regularity properties
• Bifurcation analysis of a class of `car following' traffic models
• Towards a realistic microscopic description of highway traffic
• Extensions and Amplifications of a Traffic Model of Aw and Rascle
• On a Functional-Differential Equation Arising from a Traffic Flow Model
• Macroscopic simulation of widely scattered synchronized traffic states
• Analytic Solutions of an Iterative Functional Differential Equation which may Violate the Diophantine Condition
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$
• Congestion Redux
• The critical function for the semistandard map
• Resurrection of "Second Order" Models of Traffic Flow
• Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics

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