Limit of a collection of dynamical systems: An application to modeling the flow of traffic Academic Article

abstract

• The flow of traffic is usually described using a continuum approach as that of a compressible fluid, a statistical approach via the kinetic theory of gases or cellular automata models. These approaches are not suitable for modeling dynamical systems such as traffic. While such systems are large collections, they are not large enough to be treated as a continuum. We provide a rationale for why they cannot be appropriately described using a continuum model, the kinetic theory of gases, or by appealing to cellular automata models. As an alternative, we develop a discrete dynamical systems approach that is particularly well suited to describe the dynamics of large systems such as traffic.

authors

• Darbha, Swaroop
• Rajagopal, Kumbakonam

published proceedings

• MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

author list (cited authors)

• Darbha, S., & Rajagopal, K. R.

citation count

• 18

complete list of authors

• Darbha, S||Rajagopal, KR

publication date

• October 2002

publisher

• World Scientific Publishing  Publisher

published in

• Mathematical Models and Methods in Applied Sciences (M3AS)  Journal

keywords

• Aggregation
• Intelligent Transportation Systems
• Limit Of A Collection Of Dynamical Systems
• Spatially Discrete Traffic Flow Model
• Traffic Flow Modeling

Digital Object Identifier (DOI)

• 10.1142/S0218202502002161

start page

• 1381

end page

• 1399

volume

• 12

issue

• 10

URL

• http://dx.doi.org/10.1142/s0218202502002161