Bifurcation in car-following models with time delays and driver and mechanic sensitivities
DOI10.1007/s13398-022-01307-4zbMath1496.34105OpenAlexW4295561350MaRDI QIDQ2081233
Alfonso Casal, Juan Francisco Padial
Publication date: 12 October 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01307-4
Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)
Cites Work
- Stability, convergence and Hopf bifurcation analyses of the classical car-following model
- Theory of functional differential equations. 2nd ed
- Introduction to functional differential equations
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- Practical bifurcation and stability analysis
- Nonlinear Follow-the-Leader Models of Traffic Flow
- Car-Following and Steady-State Theory for Noncongested Traffic
- Stability of Traffic Flow Behavior with Distributed Delays Modeling the Memory Effects of the Drivers
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- Expansions in the delay of quasi-periodic solutions for state dependent delay equations
- Car-Following Theory of Steady-State Traffic Flow
- Constructive Approximation by Superposition of Sigmoidal Functions
- ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK
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