Summary
The qualitative properties of solutions of nonlinear differential equation system that describe traffic flow on a ring are developed. The ring consists of three links. The stationary points of the system have been found. The flow behavior in the neighborhood of this point has been considered. The stability of the stationary points is studied. The behavior of the solution near the boundary is considered.
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References
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© 2009 Springer-Verlag Berlin Heidelberg
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Buslaev, A.P., Tatashev, A.G., Yashina, M.V. (2009). Stability of Flow on a Ring with Three Links. In: Appert-Rolland, C., Chevoir, F., Gondret, P., Lassarre, S., Lebacque, JP., Schreckenberg, M. (eds) Traffic and Granular Flow ’07. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77074-9_25
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DOI: https://doi.org/10.1007/978-3-540-77074-9_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-77073-2
Online ISBN: 978-3-540-77074-9
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