Bifurcation analysis of a class of ‘car following’ traffic models

By I. Gasser, G. Sirito, B. Werner. 2004

130 citations recorded by the source corpus.

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On the periodicity of traffic oscillations and capacity drop : the role of driver characteristics (2014, background): “From the physical and mathematical perspectives, the formation and propagation of traffic oscillations are attributed to system instability, either linear or non-linear (Gasser et al., 2004; Orosz et al., 2004; Schönhof and Helbing, 2007; Ward and Wilson, 2011; Wilson, 2008; Wilson and Ward, 2011).”
Traffic jams: dynamics and control (2010, methodology): “For W = 0, the model has been studied extensively without reaction time (Bando et al. 1995; Gasser et al. 2004), using human driver set-up (Davis 2003; Orosz et al. 2009) and using robotic driver set-up (Chandler et al. 1958; Bando et al. 1998; Orosz et al. 2010).”
Bifurcations and multiple traffic jams in a car-following model with reaction-time delay (2005, background): “4can be found in[8] for the OV model[3] without delay.”
Car-following models: fifty years of linear stability analysis – a mathematical perspective (2011, background): “In recent years, this community has realised that nonlinear stability is the key to explaining wave features in highway traffic (e.g. Gasser et al. 2004, Orosz et al. 2004, Schönhof and Helbing 2007) but in our view it will take some time for this know-how to become accessible to mainstream…”