Subcritical Hopf bifurcations in a car-following model with reaction-time delay

By Gábor Orosz, Gábor Stépán. Proceedings of the Royal Society A, 2006

140 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Transportation

View Paper: https://www.semanticscholar.org/paper/4140e001cbbc84b049ce7108e26bd6c620c22019

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. R. Eddie Wilson
2. Gábor Orosz
3. Gábor Stépán
4. Tamás Insperger
5. Brian P. Mann
6. B. Balachandran
7. X. Long
8. B. Patel

In Control and Systems Engineering

1. Gábor Stépán
2. R. Eddie Wilson
3. Gábor Orosz
4. Gábor Orosz
5. Gábor Stépán

In Transportation

1. Gábor Stépán
2. R. Eddie Wilson
3. Gábor Orosz
4. Gábor Orosz
5. Gábor Stépán

Citations in the corpus

• Traffic jams: dynamics and control (2010, methodology): “…the modelling equations (3.10), (3.12), (6.1), one may perform normal form calculations and conclude that these waves are unstable (the Hopf bifurcation is subcritical) and derive the amplitudes v amp ∼ √ h H1 − h * and v amp ∼ √ h * − h H2 in the vicinity of the Hopf points (Orosz & Stépán 2006).”
• Calculating Centre Manifolds for Delay Differential Equations Using Maple (2009, unknown): “…Magalhães (1995a,b); Gilsinn (2002); Guo and Huang (2003); Guo et al. (2004); Guo (2005); Jiang et al. (2006); Kalmár-Nagy et al. (1999, 2001); Liu and Yuan (2005); Nayfeh (2008); Orosz and Stépán (2004, 2006); Sri Namachchivaya and van Roessel (2003); Wischert et al. (1994) and Wu et al. (1999).”