Gabor Orosz May 2007: Difference between revisions
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{{agenda item|11:00a|Seminar, CDS library}} | {{agenda item|11:00a|Seminar, CDS library}} | ||
{{agenda item|12:00p|Lunch with Richard}} | {{agenda item|12:00p|Lunch with Richard}} | ||
{{agenda item| | {{agenda item|3:30p|Jessica Gonzalez and Luke Durant, DGC (12 Steele)}} | ||
{{agenda item| | {{agenda item|5:00p|Open}} | ||
{{agenda item| | {{agenda item|6:00p|Grand Challenge Project Meeting (meet outside 110 Steele)}} | ||
{{agenda end}} | {{agenda end}} | ||
=== Tuesday === | === Tuesday === | ||
Additional meetings with DGC students (TBD) | |||
{{agenda begin}} | |||
{{agenda item|11:00a|Schiff seminar, CDS library}} | |||
{{agenda item|12:00p|Lunch with Richard}} | |||
{{agenda end}} | |||
=== Wednesday === | === Wednesday === |
Revision as of 18:09, 21 May 2007
Schedule for Gabor Orosz, visiting 21-23 May 2007
Monday
11:00a | Seminar, CDS library |
12:00p | Lunch with Richard |
3:30p | Jessica Gonzalez and Luke Durant, DGC (12 Steele) |
5:00p | Open |
6:00p | Grand Challenge Project Meeting (meet outside 110 Steele) |
Tuesday
Additional meetings with DGC students (TBD)
11:00a | Schiff seminar, CDS library |
12:00p | Lunch with Richard |
Wednesday
Seminar Abstract
A nonlinear car-following model of highway traffic is considered that includes the reaction-time delay of drivers. Linear stability investigations show that the uniform flow solution may loose its stability via Hopf bifurcations. Studying these bifurcations by normal form calculations reveal the possibility of bistable behaviour. Regions in parameter space are determined by numerical continuation techniques where the stable uniform flow co-exists with single or multiple stop-and-go traffic jams. Detailed stability investigation of the corresponding oscillations explains the low-dimensional dynamics of the merging and the dispersion of traffic jams. Stochastic effects are also studied by numerical simulation when a driver parameter is varied according to a random walk. This is a joint work with Gabor Stepan (Budapest University of Technology and Economics) and with Eddie Wilson and Bernd Krauskopf (University of Bristol).