Non-smooth transitions in a simple city traffic model analyzed through supertracks

BA Toledo, MAF Sanjuan, V Muñoz, J Rogan… - … in Nonlinear Science …, 2013 - Elsevier
We explore the nontrivial behavior of a particular city traffic model due to its minimalistic
representation of basic city traffic dynamics. The chaotic behavior is studied through the
supertrack functions, an approach that in some cases exposes more information than usual
methods. In particular, we explore a parameter region that may be related to the high
sensitivity of traffic flow and eventually could lead to traffic jams. First, we describe
analytically a period adding region, that has a universal critical exponent of α= 1. Second …

Non-smooth transitions in a simple city traffic model analyzed through supertracks

B Toledo Cabrera, MA San Juan López… - 2013 - repositorio.uchile.cl
We explore the nontrivial behavior of a particular city traffic model due to its minimalistic
representation of basic city traffic dynamics. The chaotic behavior is studied through the
supertrack functions, an approach that in some cases exposes more information than usual
methods. In particular, we explore a parameter region that may be related to the high
sensitivity of traffic flow and eventually could lead to traffic jams. First, we describe
analytically a period adding region, that has a universal critical exponent of a= 1. Second …
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