Normal form calculations for day-to-day traffic dynamics
نویسندگان
چکیده
The effects of driver experience delay on the dynamics of a nonlinear day-to-day traffic model are investigated. When parameters are varied oscillations may arise via flip and Neimark-Sacker bifurcations in the non-delayed and delayed cases, respectively. The nonlinear behavior is analyzed using normal form calculations which are validated by numerical continuation and simulation. It is shown that the delay can significantly increase the period of the arising oscillations and may lead to extended domains of bistability where the user equilibrium coexist with stable and unstable oscillations.
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