Multifractal chaotic attractors in a system of delay-differential equations modeling road traffic

LA Safonov, E Tomer, VV Strygin… - … Journal of Nonlinear …, 2002 - pubs.aip.org
In many dynamical systems modeled by delay-differential equations „DDEs… the presence
of delay can be the reason for chaotic behavior. We consider a system of DDEs which
models road traffic. The number of equations in the system is proportional to the number of
involved cars and can be arbitrarily high. The nondelay version of the system has a number
of limit cycles, corresponding to different jammed flow regimes. For a sufficiently large delay
the system exhibits chaotic behavior. We find that different chaotic and nonchaotic attractors …
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