The routes of unity

International Journal of Mathematical Education in Science and Technology

Volumn 37, Issue 8, 2006, Pages 992-998

  McCartney, Mark ^a   Gibson, Sharon ^a  

^a UNIVERSITY OF ULSTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33751583990     PISSN: 0020739X     EISSN: 14645211     Source Type: Journal    
DOI: 10.1080/00207390600595066     Document Type: Article

References (8)

1. Chandler, R.E., Herman, R. and Montroll, E.W., 1958, Traffic dynamics: studies in car following. Operations Research, 6, 165-184.
2. Gazis, D.C., Herman, R. and Rothery, R.W., 1961, Nonlinear follow-the-leader models of traffic flow. Operations Research, 9, 545-567.
3. Brackstone, M. and McDonald, M., 2000, Car following: a historical review. Transportation Research Part F: Traffic Psychology and Behaviour, 2, 181-196.
4. Pipes, L.A., 1953, An operational analysis of traffic dynamics. Journal of Applied Physics, 24, 274-281.
5. McCartney, M. and Carey, M., 2000, Follow that car! Investigating a simple class of car following model. Teaching Matheatics and its Applications, 19, 83-87.
6. McCartney, M. and Gibson, S., 2006, Differential equations, traffic dynamics and the N roots of unity, to appear in The Mathematical Gazette.
7. Blanchard, P., Devaney, R.L. and Hall, G.R., 2002, Differential Equations, 2nd edn (Brooks/Cole).
8. Gibson, S. and McCartney, M., Investigating a class of car following model on a ring. To appear in Proceedings of the Fourth IMA International Conference on Mathematics in Transport, 7-9 September 2005, University College, London.