Stability of Flow on a Ring with Three Links

Alexander P. Buslaev (), Alexander G. Tatashev and Marina V. Yashina ()
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Alexander P. Buslaev: Moscow State Automobile and Road Technical University
Alexander G. Tatashev: Moscow State Automobile and Road Technical University
Marina V. Yashina: Moscow Technical University of Communications and Informatics

A chapter in Traffic and Granular Flow ’07, 2009, pp 265-272 from Springer

Abstract: 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-77074-9_25

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DOI: 10.1007/978-3-540-77074-9_25

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